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23110120332 = 223213269183571
BaseRepresentation
bin10101100001011110…
…000111001110001100
32012122120202202021200
4111201132013032030
5334312142322312
614341110025500
71445455532055
oct254136071614
965576682250
1023110120332
11988a073502
12458b648290
132243b37220
14119339572c
15903d130dc
hex56178738c

23110120332 has 72 divisors (see below), whose sum is σ = 63145096560. Its totient is φ = 7084333440.

The previous prime is 23110120321. The next prime is 23110120333. The reversal of 23110120332 is 23302101132.

23110120332 is a `hidden beast` number, since 2 + 311 + 0 + 1 + 20 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23110120333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34107 + ... + 217677.

It is an arithmetic number, because the mean of its divisors is an integer number (877015230).

Almost surely, 223110120332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23110120332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31572548280).

23110120332 is an abundant number, since it is smaller than the sum of its proper divisors (40034976228).

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

23110120332 is a wasteful number, since it uses less digits than its factorization.

23110120332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183863 (or 183858 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23110120332 its reverse (23302101132), we get a palindrome (46412221464).

The spelling of 23110120332 in words is "twenty-three billion, one hundred ten million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 269 468 538 807 1076 1614 2421 3228 3497 4842 6994 9684 10491 13988 20982 31473 41964 62946 125892 183571 367142 550713 734284 1101426 1652139 2202852 2386423 3304278 4772846 6608556 7159269 9545692 14318538 21477807 28637076 42955614 49380599 85911228 98761198 148141797 197522396 296283594 444425391 592567188 641947787 888850782 1283895574 1777701564 1925843361 2567791148 3851686722 5777530083 7703373444 11555060166 23110120332