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107110052032 = 26172331113763
BaseRepresentation
bin110001111000001000…
…0011011000011000000
3101020110200110102001011
41203300100123003000
53223330133131112
6121112232050304
710511200264114
oct1436020330300
9336420412034
10107110052032
1141474917465
1218912b33994
13a13c868619
145281467744
152bbd541aa7
hex18f041b0c0

107110052032 has 112 divisors (see below), whose sum is σ = 235606205952. Its totient is φ = 48054702080.

The previous prime is 107110051999. The next prime is 107110052047. The reversal of 107110052032 is 230250011701.

It is a happy number.

It is a super-2 number, since 2×1071100520322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107110051994 and 107110052012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7775583 + ... + 7789345.

Almost surely, 2107110052032 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 107110052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117803102976).

107110052032 is an abundant number, since it is smaller than the sum of its proper divisors (128496153920).

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

107110052032 is a wasteful number, since it uses less digits than its factorization.

107110052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14126 (or 14116 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

Adding to 107110052032 its reverse (230250011701), we get a palindrome (337360063733).

The spelling of 107110052032 in words is "one hundred seven billion, one hundred ten million, fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 136 184 272 311 368 391 544 622 736 782 1088 1244 1472 1564 2488 3128 4976 5287 6256 7153 9952 10574 12512 13763 14306 19904 21148 25024 27526 28612 42296 55052 57224 84592 110104 114448 121601 169184 220208 228896 233971 243202 316549 338368 440416 457792 467942 486404 633098 880832 935884 972808 1266196 1871768 1945616 2532392 3743536 3891232 4280293 5064784 5381333 7487072 7782464 8560586 10129568 10762666 14974144 17121172 20259136 21525332 34242344 43050664 68484688 72764981 86101328 98446739 136969376 145529962 172202656 196893478 273938752 291059924 344405312 393786956 582119848 787573912 1164239696 1575147824 1673594563 2328479392 3150295648 3347189126 4656958784 6300591296 6694378252 13388756504 26777513008 53555026016 107110052032