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113212221342 = 231137238119471
BaseRepresentation
bin110100101101111111…
…0010110011110011110
3101211012221202201122220
41221123332112132132
53323324312040332
6124001534450210
711115335001153
oct1513376263636
9354187681586
10113212221342
11440163905a0
1219b36663966
13a8a2b573ac
14569da7022a
152e2910bd2c
hex1a5bf9679e

113212221342 has 64 divisors (see below), whose sum is σ = 253803967488. Its totient is φ = 33363792000.

The previous prime is 113212221341. The next prime is 113212221377. The reversal of 113212221342 is 243122212311.

It is a super-2 number, since 2×1132122213422 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113212221341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5804667 + ... + 5824137.

It is an arithmetic number, because the mean of its divisors is an integer number (3965686992).

Almost surely, 2113212221342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113212221342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126901983744).

113212221342 is an abundant number, since it is smaller than the sum of its proper divisors (140591746146).

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

113212221342 is a wasteful number, since it uses less digits than its factorization.

113212221342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21905.

The product of its digits is 1152, while the sum is 24.

Adding to 113212221342 its reverse (243122212311), we get a palindrome (356334433653).

The spelling of 113212221342 in words is "one hundred thirteen billion, two hundred twelve million, two hundred twenty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2381 2442 4762 7143 14286 19471 26191 38942 52382 58413 78573 88097 116826 157146 176194 214181 264291 428362 528582 642543 720427 969067 1285086 1440854 1938134 2161281 2907201 4322562 5814402 7924697 15849394 23774091 46360451 47548182 92720902 139081353 278162706 509964961 1019929922 1529894883 1715336687 3059789766 3430673374 5146010061 10292020122 18868703557 37737407114 56606110671 113212221342