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23102314000 = 245311551157
BaseRepresentation
bin10101100001000000…
…010101011000010000
32012122001002011000021
4111201000111120100
5334303143022000
614340230433224
71445332300063
oct254100253020
965561064007
1023102314000
119885721497
124588b02814
132242332cac
1411923228da
159032c011a
hex561015610

23102314000 has 40 divisors (see below), whose sum is σ = 55861400088. Its totient is φ = 9240924800.

The previous prime is 23102313989. The next prime is 23102314021. The reversal of 23102314000 is 41320132.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 80928016 + 23021385984 = 8996^2 + 151728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5773579 + ... + 5777578.

Almost surely, 223102314000 is an apocalyptic number.

23102314000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23102314000 is an abundant number, since it is smaller than the sum of its proper divisors (32759086088).

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

23102314000 is a wasteful number, since it uses less digits than its factorization.

23102314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11551180 (or 11551164 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23102314000 its reverse (41320132), we get a palindrome (23143634132).

The spelling of 23102314000 in words is "twenty-three billion, one hundred two million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11551157 23102314 46204628 57755785 92409256 115511570 184818512 231023140 288778925 462046280 577557850 924092560 1155115700 1443894625 2310231400 2887789250 4620462800 5775578500 11551157000 23102314000