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113211513352 = 23722938925601
BaseRepresentation
bin110100101101111101…
…1101001101000001000
3101211012220102202111001
41221123323221220020
53323324121411402
6124001511344344
711115325662100
oct1513373515010
9354186382431
10113211513352
1144015a47683
1219b363820b4
13a8a296a072
14569d928200
152e2901c187
hex1a5bee9a08

113211513352 has 96 divisors (see below), whose sum is σ = 256109607000. Its totient is φ = 46723891200.

The previous prime is 113211513329. The next prime is 113211513361. The reversal of 113211513352 is 253315112311.

It can be written as a sum of positive squares in 4 ways, for example, as 111218248036 + 1993265316 = 333494^2 + 44646^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 113211513352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4409352 + ... + 4434952.

Almost surely, 2113211513352 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 113211513352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128054803500).

113211513352 is an abundant number, since it is smaller than the sum of its proper divisors (142898093648).

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

113211513352 is a wasteful number, since it uses less digits than its factorization.

113211513352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26039 (or 26028 counting only the distinct ones).

The product of its digits is 2700, while the sum is 28.

Adding to 113211513352 its reverse (253315112311), we get a palindrome (366526625663).

The spelling of 113211513352 in words is "one hundred thirteen billion, two hundred eleven million, five hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 389 392 406 778 812 1421 1556 1624 2723 2842 3112 5446 5684 10892 11281 11368 19061 21784 22562 25601 38122 45124 51202 76244 78967 90248 102404 152488 157934 179207 204808 315868 358414 552769 631736 716828 742429 1105538 1254449 1433656 1484858 2211076 2508898 2969716 4422152 5017796 5197003 5939432 9958789 10035592 10394006 19917578 20788012 36379021 39835156 41576024 69711523 72758042 79670312 139423046 145516084 278846092 288804881 291032168 487980661 557692184 577609762 975961322 1155219524 1951922644 2021634167 2310439048 3903845288 4043268334 8086536668 14151439169 16173073336 28302878338 56605756676 113211513352