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110201321330296 = 23717375415782969
BaseRepresentation
bin11001000011101000111110…
…100111001001011001111000
3112110012010212120011000000121
4121003220332213021121320
5103421014301230032141
61030213442122343024
732132532321553510
oct3103507647113170
9473163776130017
10110201321330296
1132128132a483a9
121043990765aa74
134964c2b286381
141d2dab56d6840
15cb18c8b8c1d1
hex643a3e9c9678

110201321330296 has 128 divisors (see below), whose sum is σ = 257269068259200. Its totient is φ = 43169624801280.

The previous prime is 110201321330263. The next prime is 110201321330299. The reversal of 110201321330296 is 692033123102011.

It is a super-2 number, since 2×1102013213302962 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110201321330299) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16164700 + ... + 21947668.

It is an arithmetic number, because the mean of its divisors is an integer number (2009914595775).

Almost surely, 2110201321330296 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 110201321330296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128634534129600).

110201321330296 is an abundant number, since it is smaller than the sum of its proper divisors (147067746928904).

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

110201321330296 is a wasteful number, since it uses less digits than its factorization.

110201321330296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783577 (or 5783573 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 110201321330296 in words is "one hundred ten trillion, two hundred one billion, three hundred twenty-one million, three hundred thirty thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 17 28 34 37 56 68 74 119 136 148 238 259 296 476 518 541 629 952 1036 1082 1258 2072 2164 2516 3787 4328 4403 5032 7574 8806 9197 15148 17612 18394 20017 30296 35224 36788 40034 64379 73576 80068 128758 140119 160136 257516 280238 340289 515032 560476 680578 1120952 1361156 2382023 2722312 4764046 5782969 9528092 11565938 19056184 23131876 40480783 46263752 80961566 98310473 161923132 196620946 213969853 323846264 393241892 427939706 688173311 786483784 855879412 1376346622 1497788971 1711758824 2752693244 2995577942 3128586229 3637487501 5505386488 5991155884 6257172458 7274975002 11982311768 12514344916 14549950004 21900103603 25028689832 25462412507 29099900008 43800207206 50924825014 53185965893 87600414412 101849650028 106371931786 115757690473 175200828824 203699300056 212743863572 231515380946 372301761251 425487727144 463030761892 744603522502 810303833311 926061523784 1489207045004 1620607666622 1967880738041 2978414090008 3241215333244 3935761476082 6482430666488 7871522952164 13775165166287 15743045904328 27550330332574 55100660665148 110201321330296