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113212121112 = 233217433213611
BaseRepresentation
bin110100101101111110…
…1111110000000011000
3101211012221120122011200
41221123331332000120
53323324300333422
6124001532354200
711115334103016
oct1513375760030
9354187518150
10113212121112
1144016322262
1219b36615960
13a8a2b2089c
14569da458b6
152e290dc2ac
hex1a5bf7e018

113212121112 has 96 divisors (see below), whose sum is σ = 325403704080. Its totient is φ = 35435335680.

The previous prime is 113212121111. The next prime is 113212121153. The reversal of 113212121112 is 211121212311.

It is a happy number.

It is a super-2 number, since 2×1132121211122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113212121111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423187 + ... + 636797.

Almost surely, 2113212121112 is an apocalyptic number.

113212121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113212121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162701852040).

113212121112 is an abundant number, since it is smaller than the sum of its proper divisors (212191582968).

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

113212121112 is a wasteful number, since it uses less digits than its factorization.

113212121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214073 (or 214066 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 113212121112 its reverse (211121212311), we get a palindrome (324333333423).

The spelling of 113212121112 in words is "one hundred thirteen billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 433 612 866 1224 1299 1732 2598 3464 3897 5196 7361 7794 10392 14722 15588 22083 29444 31176 44166 58888 66249 88332 132498 176664 213611 264996 427222 529992 640833 854444 1281666 1708888 1922499 2563332 3631387 3844998 5126664 7262774 7689996 10894161 14525548 15379992 21788322 29051096 32682483 43576644 65364966 87153288 92493563 130729932 184987126 261459864 277480689 369974252 554961378 739948504 832442067 1109922756 1572390571 1664884134 2219845512 3144781142 3329768268 4717171713 6289562284 6659536536 9434343426 12579124568 14151515139 18868686852 28303030278 37737373704 56606060556 113212121112