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10142112313212 = 22311112968055079
BaseRepresentation
bin1001001110010110010100…
…0000000110111101111100
31022220120120020121202120020
42103211211000012331330
52312132021223010322
633323115545052140
72064512666153205
oct223454500067574
938816506552506
1010142112313212
113260277aa6360
121179738a87050
13587521529a99
14270c490d05ac
15128c4631005c
hex93965006f7c

10142112313212 has 48 divisors (see below), whose sum is σ = 25839152774400. Its totient is φ = 3070645119360.

The previous prime is 10142112313187. The next prime is 10142112313217. The reversal of 10142112313212 is 21231321124101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142112313217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33878512 + ... + 34176567.

It is an arithmetic number, because the mean of its divisors is an integer number (538315682800).

Almost surely, 210142112313212 is an apocalyptic number.

10142112313212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10142112313212 is an abundant number, since it is smaller than the sum of its proper divisors (15697040461188).

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

10142112313212 is a wasteful number, since it uses less digits than its factorization.

10142112313212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68056226 (or 68056224 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10142112313212 its reverse (21231321124101), we get a palindrome (31373433437313).

The spelling of 10142112313212 in words is "ten trillion, one hundred forty-two billion, one hundred twelve million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1129 2258 3387 4516 6774 12419 13548 24838 37257 49676 74514 149028 68055079 136110158 204165237 272220316 408330474 748605869 816660948 1497211738 2245817607 2994423476 4491635214 8983270428 76834184191 153668368382 230502552573 307336736764 461005105146 845176026101 922010210292 1690352052202 2535528078303 3380704104404 5071056156606 10142112313212