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23101210132 = 22721121374929
BaseRepresentation
bin10101100000111100…
…000111111000010100
32012121222000001210021
4111200330013320110
5334302402211012
614340151034524
71445320021600
oct254074077024
965558001707
1023101210132
119885038100
12458866ba44
132242037710
141192116500
15903153007
hex560f07e14

23101210132 has 108 divisors (see below), whose sum is σ = 55668344340. Its totient is φ = 8308016640.

The previous prime is 23101210103. The next prime is 23101210133.

23101210132 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 14391841156 + 8709368976 = 119966^2 + 93324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23101210133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 270844 + ... + 345772.

Almost surely, 223101210132 is an apocalyptic number.

23101210132 is a gapful number since it is divisible by the number (22) 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 23101210132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27834172170).

23101210132 is an abundant number, since it is smaller than the sum of its proper divisors (32567134208).

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

23101210132 is a wasteful number, since it uses less digits than its factorization.

23101210132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74982 (or 74962 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 23101210132 in words is "twenty-three billion, one hundred one million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 121 143 154 182 196 242 286 308 364 484 539 572 637 847 1001 1078 1274 1573 1694 2002 2156 2548 3146 3388 4004 5929 6292 7007 11011 11858 14014 22022 23716 28028 44044 74929 77077 149858 154154 299716 308308 524503 824219 974077 1049006 1648438 1948154 2098012 3296876 3671521 3896308 5769533 6818539 7343042 9066409 10714847 11539066 13637078 14686084 18132818 21429694 23078132 27274156 36265636 40386731 42859388 47729773 63464863 75003929 80773462 95459546 117863317 126929726 150007858 161546924 190919092 235726634 253859452 300015716 444254041 471453268 525027503 825043219 888508082 1050055006 1650086438 1777016164 2100110012 3300172876 5775302533 11550605066 23101210132