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132013213104312 = 233214871233030833
BaseRepresentation
bin11110000001000010111000…
…101011000011100010111000
3122022102100011210122101100200
4132001002320223003202320
5114300401030023314222
61144434011033402200
736543432325560531
oct3601027053034270
9568370153571320
10132013213104312
1139077542246931
1212981065b69360
135887a3c3b3077
14248568b80b688
15103de7756eeac
hex7810b8ac38b8

132013213104312 has 48 divisors (see below), whose sum is σ = 357776226793440. Its totient is φ = 43974811592448.

The previous prime is 132013213104257. The next prime is 132013213104341. The reversal of 132013213104312 is 213401312310231.

132013213104312 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 3 + 213 + 10 + 431 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616408353 + ... + 616622480.

It is an arithmetic number, because the mean of its divisors is an integer number (7453671391530).

Almost surely, 2132013213104312 is an apocalyptic number.

132013213104312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132013213104312 is an abundant number, since it is smaller than the sum of its proper divisors (225763013689128).

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

132013213104312 is a wasteful number, since it uses less digits than its factorization.

132013213104312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233032332 (or 1233032325 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 132013213104312 its reverse (213401312310231), we get a palindrome (345414525414543).

The spelling of 132013213104312 in words is "one hundred thirty-two trillion, thirteen billion, two hundred thirteen million, one hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1487 2974 4461 5948 8922 11896 13383 17844 26766 35688 53532 107064 1233030833 2466061666 3699092499 4932123332 7398184998 9864246664 11097277497 14796369996 22194554994 29592739992 44389109988 88778219976 1833516848671 3667033697342 5500550546013 7334067394684 11001101092026 14668134789368 16501651638039 22002202184052 33003303276078 44004404368104 66006606552156 132013213104312