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331200113040112 = 241959733239910501
BaseRepresentation
bin100101101001110011000100…
…1000101100101101011110000
31121102200102101100001111012111
41023103212021011211223300
5321402340312414240422
63132223121554535104
7126522263360535331
oct11323461105455360
91542612340044174
10331200113040112
11965921a7495348
1231190973897494
13112a6062689ab4
145bb0257334288
15284541d201a77
hex12d3989165af0

331200113040112 has 160 divisors (see below), whose sum is σ = 688212023040000. Its totient is φ = 153935945856000.

The previous prime is 331200113040091. The next prime is 331200113040127. The reversal of 331200113040112 is 211040311002133.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31539858862 + ... + 31539869362.

It is an arithmetic number, because the mean of its divisors is an integer number (4301325144000).

Almost surely, 2331200113040112 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 331200113040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344106011520000).

331200113040112 is an abundant number, since it is smaller than the sum of its proper divisors (357011909999888).

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

331200113040112 is a wasteful number, since it uses less digits than its factorization.

331200113040112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13719 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 331200113040112 its reverse (211040311002133), we get a palindrome (542240424042245).

The spelling of 331200113040112 in words is "three hundred thirty-one trillion, two hundred billion, one hundred thirteen million, forty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 59 76 118 152 236 304 472 733 944 1121 1466 2242 2399 2932 4484 4798 5864 8968 9596 10501 11728 13927 17936 19192 21002 27854 38384 42004 43247 45581 55708 84008 86494 91162 111416 141541 168016 172988 182324 199519 222832 283082 345976 364648 399038 566164 619559 691952 729296 798076 821693 1132328 1239118 1596152 1643386 1758467 2264656 2478236 2689279 3192304 3286772 3516934 4956472 5378558 6573544 7033868 7697233 9912944 10757116 11771621 13147088 14067736 15394466 21514232 23543242 25191899 28135472 30788932 33410873 43028464 47086484 50383798 61577864 66821746 94172968 100767596 103749553 123155728 133643492 146247427 188345936 201535192 207499106 267286984 292494854 403070384 414998212 454136747 478646081 534573968 584989708 829996424 908273494 957292162 1169979416 1486322041 1659992848 1816546988 1914584324 1971241507 2339958832 2972644082 3633093976 3829168648 3942483014 5945288164 7266187952 7658337296 7884966028 8628598193 11890576328 15769932056 17257196386 18465661967 23781152656 28240118779 31539864112 34514392772 36931323934 56480237558 69028785544 73862647868 112960475116 138057571088 147725295736 225920950232 295450591472 350847577373 451841900464 701695154746 1089474056053 1403390309492 2178948112106 2806780618984 4357896224212 5613561237968 8715792448424 17431584896848 20700007065007 41400014130014 82800028260028 165600056520056 331200113040112