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23130023032100 = 2252354737652033
BaseRepresentation
bin1010100001001011000001…
…10011100111010100100100
310000220012122002000011211102
411100211200303213110210
511012430241344011400
6121105441430255232
74605042350561225
oct520454063472444
9100805562004742
1023130023032100
11740842a004236
122716905ab7518
13cba1c86c0a0a
1459d6db6d724c
152a19e948c9d5
hex150960ce7524

23130023032100 has 36 divisors (see below), whose sum is σ = 50192368448964. Its totient is φ = 9251968942080.

The previous prime is 23130023032079. The next prime is 23130023032163. The reversal of 23130023032100 is 123032003132.

It can be written as a sum of positive squares in 6 ways, for example, as 2136911865124 + 20993111166976 = 1461818^2 + 4581824^2 .

It is a super-3 number, since 3×231300230321003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 35147684 + ... + 35799716.

Almost surely, 223130023032100 is an apocalyptic number.

23130023032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23130023032100 is an abundant number, since it is smaller than the sum of its proper divisors (27062345416864).

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

23130023032100 is a wasteful number, since it uses less digits than its factorization.

23130023032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006784 (or 1006777 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 23130023032100 its reverse (123032003132), we get a palindrome (23253055035232).

The spelling of 23130023032100 in words is "twenty-three trillion, one hundred thirty billion, twenty-three million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 354737 652033 709474 1304066 1418948 1773685 2608132 3260165 3547370 6520330 7094740 8868425 13040660 16300825 17736850 32601650 35473700 65203300 231300230321 462600460642 925200921284 1156501151605 2313002303210 4626004606420 5782505758025 11565011516050 23130023032100