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113212121310 = 2345139768051
BaseRepresentation
bin110100101101111110…
…1111110000011011110
3101211012221120122110000
41221123331332003132
53323324300340220
6124001532355130
711115334103421
oct1513375760336
9354187518400
10113212121310
1144016322422
1219b36615aa6
13a8a2b209c2
14569da459b8
152e290dc390
hex1a5bf7e0de

113212121310 has 40 divisors (see below), whose sum is σ = 304414817256. Its totient is φ = 30189898800.

The previous prime is 113212121293. The next prime is 113212121311. The reversal of 113212121310 is 13121212311.

113212121310 is a `hidden beast` number, since 1 + 1 + 321 + 212 + 131 + 0 = 666.

It is a super-2 number, since 2×1132121213102 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (113212121311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69883216 + ... + 69884835.

Almost surely, 2113212121310 is an apocalyptic number.

113212121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113212121310 is an abundant number, since it is smaller than the sum of its proper divisors (191202695946).

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

113212121310 is a wasteful number, since it uses less digits than its factorization.

113212121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139768070 (or 139768061 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113212121310 its reverse (13121212311), we get a palindrome (126333333621).

The spelling of 113212121310 in words is "one hundred thirteen billion, two hundred twelve million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 139768051 279536102 419304153 698840255 838608306 1257912459 1397680510 2096520765 2515824918 3773737377 4193041530 6289562295 7547474754 11321212131 12579124590 18868686885 22642424262 37737373770 56606060655 113212121310