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131333100231120 = 24355915495987693
BaseRepresentation
bin11101110111001001011110…
…110010010101100111010000
3122020000022200120021200221220
4131313021132302111213100
5114203230142124343440
61143153332054245040
736443334440541534
oct3567113662254720
9566008616250856
10131333100231120
1138935067262a27
1212891299656780
1358388731209a8
1424607ad809bc4
15102b41e3898d0
hex77725ec959d0

131333100231120 has 160 divisors (see below), whose sum is σ = 414300523248000. Its totient is φ = 34406332065792.

The previous prime is 131333100231107. The next prime is 131333100231121. The reversal of 131333100231120 is 21132001333131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333100231121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18939994 + ... + 24927686.

It is an arithmetic number, because the mean of its divisors is an integer number (2589378270300).

Almost surely, 2131333100231120 is an apocalyptic number.

131333100231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131333100231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207150261624000).

131333100231120 is an abundant number, since it is smaller than the sum of its proper divisors (282967423016880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131333100231120 is a wasteful number, since it uses less digits than its factorization.

131333100231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5989317 (or 5989311 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131333100231120 its reverse (21132001333131), we get a palindrome (152465101564251).

The spelling of 131333100231120 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, one hundred million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1549 1770 2360 2832 3098 3540 4647 4720 6196 7080 7745 9294 12392 14160 15490 18588 23235 24784 30980 37176 46470 61960 74352 91391 92940 123920 182782 185880 274173 365564 371760 456955 548346 731128 913910 1096692 1370865 1462256 1827820 2193384 2741730 3655640 4386768 5483460 5987693 7311280 10966920 11975386 17963079 21933840 23950772 29938465 35926158 47901544 59876930 71852316 89815395 95803088 119753860 143704632 179630790 239507720 287409264 353273887 359261580 479015440 706547774 718523160 1059821661 1413095548 1437046320 1766369435 2119643322 2826191096 3532738870 4239286644 5299108305 5652382192 7065477740 8478573288 9274936457 10598216610 14130955480 16957146576 18549872914 21196433220 27824809371 28261910960 37099745828 42392866440 46374682285 55649618742 74199491656 84785732880 92749364570 111299237484 139124046855 148398983312 185498729140 222598474968 278248093710 370997458280 445196949936 547221250963 556496187420 741994916560 1094442501926 1112992374840 1641663752889 2188885003852 2225984749680 2736106254815 3283327505778 4377770007704 5472212509630 6566655011556 8208318764445 8755540015408 10944425019260 13133310023112 16416637528890 21888850038520 26266620046224 32833275057780 43777700077040 65666550115560 131333100231120