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133011312012 = 22325794763761
BaseRepresentation
bin111101111100000010…
…1111000110110001100
3110201022210020202010100
41323320011320312030
54134401343441022
6141034330011100
712416100332445
oct1737005706614
9421283222110
10133011312012
1151456466447
1221941276a90
13c709a19b67
14661b3b82cc
1536d73de1ac
hex1ef8178d8c

133011312012 has 36 divisors (see below), whose sum is σ = 336234114216. Its totient is φ = 44335643520.

The previous prime is 133011311999. The next prime is 133011312017. The reversal of 133011312012 is 210213110331.

133011312012 is a `hidden beast` number, since 1 + 330 + 1 + 131 + 201 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (133011312017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2054212 + ... + 2117972.

It is an arithmetic number, because the mean of its divisors is an integer number (9339836506).

Almost surely, 2133011312012 is an apocalyptic number.

133011312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133011312012 is an abundant number, since it is smaller than the sum of its proper divisors (203222802204).

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

133011312012 is a wasteful number, since it uses less digits than its factorization.

133011312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121718 (or 121713 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133011312012 its reverse (210213110331), we get a palindrome (343224422343).

The spelling of 133011312012 in words is "one hundred thirty-three billion, eleven million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 57947 63761 115894 127522 173841 191283 231788 255044 347682 382566 521523 573849 695364 765132 1043046 1147698 2086092 2295396 3694758667 7389517334 11084276001 14779034668 22168552002 33252828003 44337104004 66505656006 133011312012