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2313111230100 = 22335211241132303
BaseRepresentation
bin100001101010010000001…
…011000101011010010100
322012010112200212101012000
4201222100023011122110
5300344222433330400
64530343441155300
7326055024022146
oct41522013053224
98163480771160
102313111230100
11811a91a94340
1231436832bb30
1313a18280aba8
147dd53032c96
1540281760600
hex21a902c5694

2313111230100 has 288 divisors, whose sum is σ = 8115860551680. Its totient is φ = 560504304000.

The previous prime is 2313111230057. The next prime is 2313111230107. The reversal of 2313111230100 is 10321113132.

2313111230100 is a `hidden beast` number, since 2 + 313 + 111 + 230 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313111230107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71590549 + ... + 71622851.

It is an arithmetic number, because the mean of its divisors is an integer number (28180071360).

Almost surely, 22313111230100 is an apocalyptic number.

2313111230100 is a gapful number since it is divisible by the number (20) 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 2313111230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057930275840).

2313111230100 is an abundant number, since it is smaller than the sum of its proper divisors (5802749321580).

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

2313111230100 is a wasteful number, since it uses less digits than its factorization.

2313111230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34748 (or 34735 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2313111230100 its reverse (10321113132), we get a palindrome (2323432343232).

The spelling of 2313111230100 in words is "two trillion, three hundred thirteen billion, one hundred eleven million, two hundred thirty thousand, one hundred".