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23313130100 = 225213155911503
BaseRepresentation
bin10101101101100100…
…100010001001110100
32020011201202201022222
4111231210202021310
5340221130130400
614413201141512
71453502223221
oct255544421164
966151681288
1023313130100
119983721777
12462762a898
132276c06450
1411b231c948
15916a64185
hex56d922274

23313130100 has 72 divisors (see below), whose sum is σ = 54520677120. Its totient is φ = 8601655680.

The previous prime is 23313130069. The next prime is 23313130109. The reversal of 23313130100 is 103131332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23313130109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2020949 + ... + 2032451.

Almost surely, 223313130100 is an apocalyptic number.

23313130100 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 23313130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27260338560).

23313130100 is an abundant number, since it is smaller than the sum of its proper divisors (31207547020).

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

23313130100 is a wasteful number, since it uses less digits than its factorization.

23313130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13089 (or 13082 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 23313130100 its reverse (103131332), we get a palindrome (23416261432).

The spelling of 23313130100 in words is "twenty-three billion, three hundred thirteen million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1559 3118 6236 7795 11503 15590 20267 23006 31180 38975 40534 46012 57515 77950 81068 101335 115030 149539 155900 202670 230060 287575 299078 405340 506675 575150 598156 747695 1013350 1150300 1495390 2026700 2990780 3738475 7476950 14953900 17933177 35866354 71732708 89665885 179331770 233131301 358663540 448329425 466262602 896658850 932525204 1165656505 1793317700 2331313010 4662626020 5828282525 11656565050 23313130100