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23122100122132 = 22111756954326711
BaseRepresentation
bin1010100000111100010001…
…00100000111001000010100
310000212110011220122122120111
411100132020210013020110
511012313030112402012
6121102051323012404
74604342124134314
oct520361044071024
9100773156578514
1023122100122132
1174050337aa760
12271527466a104
13cb953512c5cb
1459d189379444
152a16d3b1dba7
hex150788907214

23122100122132 has 48 divisors (see below), whose sum is σ = 46820933470080. Its totient is φ = 9874422809600.

The previous prime is 23122100122129. The next prime is 23122100122139.

23122100122132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122100122139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26737744 + ... + 27588967.

It is an arithmetic number, because the mean of its divisors is an integer number (975436113960).

Almost surely, 223122100122132 is an apocalyptic number.

23122100122132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23122100122132 is an abundant number, since it is smaller than the sum of its proper divisors (23698833347948).

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

23122100122132 is a wasteful number, since it uses less digits than its factorization.

23122100122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54327312 (or 54327310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 23122100 and 122132, that added together give a palindrome (23244232).

The spelling of 23122100122132 in words is "twenty-three trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 569 748 1138 2276 6259 9673 12518 19346 25036 38692 106403 212806 425612 54326711 108653422 217306844 597593821 923554087 1195187642 1847108174 2390375284 3694216348 10159094957 20318189914 30911898559 40636379828 61823797118 123647594236 340030884149 525502275503 680061768298 1051004551006 1360123536596 2102009102012 5780525030533 11561050061066 23122100122132