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113321203112 = 2313191313171381
BaseRepresentation
bin110100110001001111…
…0000101010110101000
3101211111112211120112202
41221202132011112220
53324040211444422
6124020430355332
711121130222235
oct1514236052650
9354445746482
10113321203112
1144071957177
1219b6705bb48
13a8bc5c4150
1456b031c78c
152e33987b92
hex1a627855a8

113321203112 has 128 divisors (see below), whose sum is σ = 243645494400. Its totient is φ = 48980505600.

The previous prime is 113321203081. The next prime is 113321203133. The reversal of 113321203112 is 211302123311.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 82056662 + ... + 82058042.

It is an arithmetic number, because the mean of its divisors is an integer number (1903480425).

Almost surely, 2113321203112 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 113321203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121822747200).

113321203112 is an abundant number, since it is smaller than the sum of its proper divisors (130324291288).

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

113321203112 is a wasteful number, since it uses less digits than its factorization.

113321203112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 113321203112 its reverse (211302123311), we get a palindrome (324623326423).

The spelling of 113321203112 in words is "one hundred thirteen billion, three hundred twenty-one million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 131 152 247 262 317 494 524 634 988 1048 1268 1381 1703 1976 2489 2536 2762 3406 4121 4978 5524 6023 6812 8242 9956 11048 12046 13624 16484 17953 19912 24092 26239 32357 32968 35906 41527 48184 52478 64714 71812 78299 83054 104956 129428 143624 156598 166108 180911 209912 258856 313196 332216 341107 361822 437777 539851 626392 682214 723644 789013 875554 1079702 1364428 1447288 1578026 1751108 2159404 2351843 2728856 3156052 3437309 3502216 4318808 4703686 5691101 6312104 6874618 8317763 9407372 10257169 11382202 13749236 16635526 18814744 20514338 22764404 27498472 33271052 41028676 44685017 45528808 57348787 66542104 82057352 89370034 108130919 114697574 178740068 216261838 229395148 357480136 432523676 458790296 745534231 865047352 1089626953 1491068462 2179253906 2982136924 4358507812 5964273848 8717015624 14165150389 28330300778 56660601556 113321203112