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113310200982 = 231127315114159
BaseRepresentation
bin110100110000111010…
…0000111010010010110
3101211110210010121110110
41221201310013102112
53324024402412412
6124015354503450
711120634550116
oct1514164072226
9354423117413
10113310200982
1144066722100
1219b63434b86
13a8ba241404
1456aca97046
152e32a12d3c
hex1a61d07496

113310200982 has 96 divisors (see below), whose sum is σ = 254197601280. Its totient is φ = 33639408000.

The previous prime is 113310200981. The next prime is 113310201001. The reversal of 113310200982 is 289002013311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113310200981) 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 47 ways as a sum of consecutive naturals, for example, 7995619 + ... + 8009777.

It is an arithmetic number, because the mean of its divisors is an integer number (2647891680).

Almost surely, 2113310200982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113310200982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127098800640).

113310200982 is an abundant number, since it is smaller than the sum of its proper divisors (140887400298).

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

113310200982 is a wasteful number, since it uses less digits than its factorization.

113310200982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14410 (or 14399 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 113310200982 in words is "one hundred thirteen billion, three hundred ten million, two hundred thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 66 73 121 146 151 219 242 302 363 438 453 726 803 906 1606 1661 2409 3322 4818 4983 8833 9966 11023 14159 17666 18271 22046 26499 28318 33069 36542 42477 52998 54813 66138 84954 109626 121253 155749 242506 311498 363759 467247 727518 934494 1033607 1333783 1713239 2067214 2138009 2667566 3100821 3426478 4001349 4276018 5139717 6201642 6414027 8002698 10279434 11369677 12828054 22739354 23518099 34109031 47036198 68218062 70554297 125066447 141108594 156074657 250132894 258699089 312149314 375199341 468223971 517398178 750398682 776097267 936447942 1552194534 1716821227 3433642454 5150463681 10300927362 18885033497 37770066994 56655100491 113310200982