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11311032100 = 2252532134157
BaseRepresentation
bin10101000100011000…
…01010011100100100
31002012021200222001211
422202030022130210
5141131111011400
65110214401204
7550204120654
oct124214123444
932167628054
1011311032100
114884867915
122238060204
1310b34b8a04
14794316364
1546302bdba
hex2a230a724

11311032100 has 36 divisors (see below), whose sum is σ = 25008063444. Its totient is φ = 4439044480.

The previous prime is 11311032041. The next prime is 11311032107. The reversal of 11311032100 is 123011311.

It can be written as a sum of positive squares in 6 ways, for example, as 1082541604 + 10228490496 = 32902^2 + 101136^2 .

It is not an unprimeable number, because it can be changed into a prime (11311032107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1061779 + ... + 1072378.

It is an arithmetic number, because the mean of its divisors is an integer number (694668429).

Almost surely, 211311032100 is an apocalyptic number.

11311032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311032100 is an abundant number, since it is smaller than the sum of its proper divisors (13697031344).

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

11311032100 is a wasteful number, since it uses less digits than its factorization.

11311032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134224 (or 2134217 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11311032100 its reverse (123011311), we get a palindrome (11434043411).

The spelling of 11311032100 in words is "eleven billion, three hundred eleven million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 2134157 4268314 8536628 10670785 21341570 42683140 53353925 106707850 113110321 213415700 226220642 452441284 565551605 1131103210 2262206420 2827758025 5655516050 11311032100