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10131000440 = 23511231001087
BaseRepresentation
bin10010110111101101…
…01100110001111000
3222011001021010221112
421123312230301320
5131222014003230
64353142255452
7506025040301
oct113366546170
928131233845
1010131000440
11432975a640
121b68a27588
13c55b96422
146c17037a8
153e4637d95
hex25bdacc78

10131000440 has 64 divisors (see below), whose sum is σ = 25948200960. Its totient is φ = 3523822720.

The previous prime is 10131000419. The next prime is 10131000443. The reversal of 10131000440 is 4400013101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131000443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490424 + ... + 510663.

It is an arithmetic number, because the mean of its divisors is an integer number (405440640).

Almost surely, 210131000440 is an apocalyptic number.

10131000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131000440 is an abundant number, since it is smaller than the sum of its proper divisors (15817200520).

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

10131000440 is a wasteful number, since it uses less digits than its factorization.

10131000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001132 (or 1001128 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10131000440 its reverse (4400013101), we get a palindrome (14531013541).

The spelling of 10131000440 in words is "ten billion, one hundred thirty-one million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 1001087 2002174 4004348 5005435 8008696 10010870 11011957 20021740 22023914 23025001 40043480 44047828 46050002 55059785 88095656 92100004 110119570 115125005 184200008 220239140 230250010 253275011 440478280 460500020 506550022 921000040 1013100044 1266375055 2026200088 2532750110 5065500220 10131000440