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32113120122 = 23217236077517
BaseRepresentation
bin11101111010000101…
…110101001101111010
310001220000111112020100
4131322011311031322
51011231424320442
622430315340230
72214536005626
oct357205651572
9101800445210
1032113120122
111268a0234a6
126282751676
13304a0c7a35
1417a8d4c186
15c7e3d384c
hex77a17537a

32113120122 has 96 divisors (see below), whose sum is σ = 77011264512. Its totient is φ = 9619517952.

The previous prime is 32113120103. The next prime is 32113120177. The reversal of 32113120122 is 22102131123.

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

It is a junction number, because it is equal to n+sod(n) for n = 32113120095 and 32113120104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4268308 + ... + 4275824.

It is an arithmetic number, because the mean of its divisors is an integer number (802200672).

Almost surely, 232113120122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32113120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38505632256).

32113120122 is an abundant number, since it is smaller than the sum of its proper divisors (44898144390).

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

32113120122 is a wasteful number, since it uses less digits than its factorization.

32113120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8172 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32113120122 its reverse (22102131123), we get a palindrome (54215251245).

The spelling of 32113120122 in words is "thirty-two billion, one hundred thirteen million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 607 782 1173 1214 1821 2346 3519 3642 5463 7038 7517 10319 10926 13961 15034 20638 22551 27922 30957 41883 45102 61914 67653 83766 92871 125649 127789 135306 172891 185742 237337 251298 255578 345782 383367 474674 518673 712011 766734 1037346 1150101 1424022 1556019 2136033 2300202 2939147 3112038 4272066 4562819 5878294 8817441 9125638 13688457 17634882 26452323 27376914 41065371 52904646 77567923 82130742 104944837 155135846 209889674 232703769 314834511 465407538 629669022 698111307 944503533 1396222614 1784062229 1889007066 3568124458 5352186687 10704373374 16056560061 32113120122