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13120311031320 = 23353119331824607
BaseRepresentation
bin1011111011101100111101…
…1110100111011000011000
31201110021211000221011112110
42332323033132213120120
53204430344111000240
643523215423312320
72522624352446553
oct276731736473030
951407730834473
1013120311031320
1141a9324593299
12157a97974b6a0
1374231743368c
143350527b369a
1517b451ac9c80
hexbeecf7a7618

13120311031320 has 128 divisors (see below), whose sum is σ = 40651682365440. Its totient is φ = 3384133240320.

The previous prime is 13120311031313. The next prime is 13120311031343. The reversal of 13120311031320 is 2313011302131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6278457 + ... + 8103063.

It is an arithmetic number, because the mean of its divisors is an integer number (317591268480).

Almost surely, 213120311031320 is an apocalyptic number.

13120311031320 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 13120311031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20325841182720).

13120311031320 is an abundant number, since it is smaller than the sum of its proper divisors (27531371334120).

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

13120311031320 is a wasteful number, since it uses less digits than its factorization.

13120311031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826585 (or 1826581 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13120311031320 its reverse (2313011302131), we get a palindrome (15433322333451).

The spelling of 13120311031320 in words is "thirteen trillion, one hundred twenty billion, three hundred eleven million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 1933 3720 3866 5799 7732 9665 11598 15464 19330 23196 28995 38660 46392 57990 59923 77320 115980 119846 179769 231960 239692 299615 359538 479384 599230 719076 898845 1198460 1438152 1797690 1824607 2396920 3595380 3649214 5473821 7190760 7298428 9123035 10947642 14596856 18246070 21895284 27369105 36492140 43790568 54738210 56562817 72984280 109476420 113125634 169688451 218952840 226251268 282814085 339376902 452502536 565628170 678753804 848442255 1131256340 1357507608 1696884510 2262512680 3393769020 3526965331 6787538040 7053930662 10580895993 14107861324 17634826655 21161791986 28215722648 35269653310 42323583972 52904479965 70539306620 84647167944 105808959930 109335925261 141078613240 211617919860 218671850522 328007775783 423235839720 437343701044 546679626305 656015551566 874687402088 1093359252610 1312031103132 1640038878915 2186718505220 2624062206264 3280077757830 4373437010440 6560155515660 13120311031320