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131032441350 = 232527331712583
BaseRepresentation
bin111101000001000100…
…1000110001000000110
3110112012212122200220100
41322002021012020012
54121323301110400
6140110115544530
712316051242306
oct1720211061006
9415185580810
10131032441350
1150630440648
122148a5bb146
13c482a5cc85
1464b065d606
15361d802100
hex1e82246206

131032441350 has 144 divisors (see below), whose sum is σ = 358017165792. Its totient is φ = 34351879680.

The previous prime is 131032441327. The next prime is 131032441361. The reversal of 131032441350 is 53144230131.

It is a happy number.

It is a super-2 number, since 2×1310324413502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10407159 + ... + 10419741.

It is an arithmetic number, because the mean of its divisors is an integer number (2486230318).

Almost surely, 2131032441350 is an apocalyptic number.

131032441350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131032441350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179008582896).

131032441350 is an abundant number, since it is smaller than the sum of its proper divisors (226984724442).

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

131032441350 is a wasteful number, since it uses less digits than its factorization.

131032441350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12991 (or 12983 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 131032441350 its reverse (53144230131), we get a palindrome (184176671481).

The spelling of 131032441350 in words is "one hundred thirty-one billion, thirty-two million, four hundred forty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 146 150 219 225 317 365 438 450 634 657 730 951 1095 1314 1585 1825 1902 2190 2853 3170 3285 3650 4755 5475 5706 6570 7925 9510 10950 12583 14265 15850 16425 23141 23775 25166 28530 32850 37749 46282 47550 62915 69423 71325 75498 113247 115705 125830 138846 142650 188745 208269 226494 231410 314575 347115 377490 416538 566235 578525 629150 694230 918559 943725 1041345 1132470 1157050 1735575 1837118 1887450 2082690 2755677 2831175 3471150 3988811 4592795 5206725 5511354 5662350 7977622 8267031 9185590 10413450 11966433 13778385 16534062 19944055 22963975 23932866 27556770 35899299 39888110 41335155 45927950 59832165 68891925 71798598 82670310 99720275 119664330 137783850 179496495 199440550 206675775 291183203 299160825 358992990 413351550 582366406 598321650 873549609 897482475 1455916015 1747099218 1794964950 2620648827 2911832030 4367748045 5241297654 7279580075 8735496090 13103244135 14559160150 21838740225 26206488270 43677480450 65516220675 131032441350