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10131030023200 = 255237333951173
BaseRepresentation
bin1001001101101101000001…
…1100100001110000100000
31022212111221220100002122121
42103123100130201300200
52311441322141220300
633314044141114024
72063641240225612
oct223332034416040
938774856302577
1010131030023200
113256600372899
121177565558914
1358647654c928
142704b731cdb2
151287e841881a
hex936d0721c20

10131030023200 has 72 divisors (see below), whose sum is σ = 24798684415428. Its totient is φ = 4041547514880.

The previous prime is 10131030023173. The next prime is 10131030023243. The reversal of 10131030023200 is 232003013101.

It can be written as a sum of positive squares in 6 ways, for example, as 3199962856336 + 6931067166864 = 1788844^2 + 2632692^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16677187 + ... + 17273986.

Almost surely, 210131030023200 is an apocalyptic number.

10131030023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131030023200 is an abundant number, since it is smaller than the sum of its proper divisors (14667654392228).

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

10131030023200 is a wasteful number, since it uses less digits than its factorization.

10131030023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33951566 (or 33951553 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10131030023200 its reverse (232003013101), we get a palindrome (10363033036301).

The spelling of 10131030023200 in words is "ten trillion, one hundred thirty-one billion, thirty million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 373 400 746 800 1492 1865 2984 3730 5968 7460 9325 11936 14920 18650 29840 37300 59680 74600 149200 298400 33951173 67902346 135804692 169755865 271609384 339511730 543218768 679023460 848779325 1086437536 1358046920 1697558650 2716093840 3395117300 5432187680 6790234600 12663787529 13580469200 25327575058 27160938400 50655150116 63318937645 101310300232 126637875290 202620600464 253275750580 316594688225 405241200928 506551501160 633189376450 1013103002320 1266378752900 2026206004640 2532757505800 5065515011600 10131030023200