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10131322300 = 22521121114363
BaseRepresentation
bin10010110111101111…
…11011010110111100
3222011001212111110021
421123313323112330
5131222104303200
64353153221524
7506030550541
oct113367732674
928131774407
1010131322300
11432995a440
121b68b618a4
13c55c79a88
146c1788bc8
153e469d41a
hex25bdfb5bc

10131322300 has 72 divisors (see below), whose sum is σ = 24000463872. Its totient is φ = 3681528000.

The previous prime is 10131322297. The next prime is 10131322349. The reversal of 10131322300 is 322313101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2319919 + ... + 2324281.

It is an arithmetic number, because the mean of its divisors is an integer number (333339776).

Almost surely, 210131322300 is an apocalyptic number.

10131322300 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 10131322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12000231936).

10131322300 is an abundant number, since it is smaller than the sum of its proper divisors (13869141572).

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

10131322300 is a wasteful number, since it uses less digits than its factorization.

10131322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6499 (or 6492 counting only the distinct ones).

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

Adding to 10131322300 its reverse (322313101), we get a palindrome (10453635401).

The spelling of 10131322300 in words is "ten billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2111 4222 4363 8444 8726 10555 17452 21110 21815 23221 42220 43630 46442 47993 52775 87260 92884 95986 105550 109075 116105 191972 211100 218150 232210 239965 436300 464420 479930 580525 959860 1161050 1199825 2322100 2399650 4799300 9210293 18420586 36841172 46051465 92102930 101313223 184205860 202626446 230257325 405252892 460514650 506566115 921029300 1013132230 2026264460 2532830575 5065661150 10131322300