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32113102032 = 24321139075189
BaseRepresentation
bin11101111010000101…
…110000110011010000
310001220000110121102100
4131322011300303100
51011231423231112
622430315120400
72214535602114
oct357205606320
9101800417370
1032113102032
111268a010950
126282743100
13304a0bc72b
1417a8d45744
15c7e3cd2dc
hex77a170cd0

32113102032 has 120 divisors (see below), whose sum is σ = 98086266720. Its totient is φ = 9726877440.

The previous prime is 32113102001. The next prime is 32113102079. The reversal of 32113102032 is 23020131123.

32113102032 is a `hidden beast` number, since 321 + 1 + 310 + 2 + 0 + 32 = 666.

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 = 32113101996 and 32113102014.

It is a congruent number.

It is an unprimeable number.

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, 6186094 + ... + 6191282.

It is an arithmetic number, because the mean of its divisors is an integer number (817385556).

Almost surely, 232113102032 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 32113102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49043133360).

32113102032 is an abundant number, since it is smaller than the sum of its proper divisors (65973164688).

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

32113102032 is a wasteful number, since it uses less digits than its factorization.

32113102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9121 (or 9112 counting only the distinct ones).

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

Adding to 32113102032 its reverse (23020131123), we get a palindrome (55133233155).

The spelling of 32113102032 in words is "thirty-two billion, one hundred thirteen million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 3907 5189 7814 10378 11721 15567 15628 20756 23442 31134 31256 35163 41512 42977 46701 46884 57079 62268 62512 70326 83024 85954 93402 93768 114158 124536 128931 140652 171237 171908 186804 187536 228316 249072 257862 281304 342474 343816 373608 386793 456632 513711 515724 562608 684948 687632 747216 773586 913264 1027422 1031448 1369896 1547172 2054844 2062896 2739792 3094344 4109688 6188688 8219376 20273423 40546846 60820269 81093692 121640538 162187384 182460807 223007653 243281076 324374768 364921614 446015306 486562152 669022959 729843228 892030612 973124304 1338045918 1459686456 1784061224 2007068877 2676091836 2919372912 3568122448 4014137754 5352183672 8028275508 10704367344 16056551016 32113102032