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133115054712 = 233175916733113
BaseRepresentation
bin111101111111001000…
…1101000101001111000
3110201121000110102100120
41323332101220221320
54140104423222322
6141052513333240
712421500203343
oct1737621505170
9421530412316
10133115054712
11514a9a83912
122196bb67220
13c725371083
14662b0a145a
1536e1582a5c
hex1efe468a78

133115054712 has 128 divisors (see below), whose sum is σ = 360492249600. Its totient is φ = 40806699008.

The previous prime is 133115054711. The next prime is 133115054719. The reversal of 133115054712 is 217450511331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133115054711) 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, 4003468 + ... + 4036580.

It is an arithmetic number, because the mean of its divisors is an integer number (2816345700).

Almost surely, 2133115054712 is an apocalyptic number.

133115054712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133115054712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180246124800).

133115054712 is an abundant number, since it is smaller than the sum of its proper divisors (227377194888).

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

133115054712 is a wasteful number, since it uses less digits than its factorization.

133115054712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33365 (or 33361 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 133115054712 in words is "one hundred thirty-three billion, one hundred fifteen million, fifty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 102 118 136 167 177 204 236 334 354 408 472 501 668 708 1002 1003 1336 1416 2004 2006 2839 3009 4008 4012 5678 6018 8024 8517 9853 11356 12036 17034 19706 22712 24072 29559 33113 34068 39412 59118 66226 68136 78824 99339 118236 132452 167501 198678 236472 264904 335002 397356 502503 562921 670004 794712 1005006 1125842 1340008 1688763 1953667 2010012 2251684 3377526 3907334 4020024 4503368 5529871 5861001 6755052 7814668 11059742 11722002 13510104 15629336 16589613 22119484 23444004 33179226 33212339 44238968 46888008 66358452 66424678 94007807 99637017 132716904 132849356 188015614 199274034 265698712 282023421 326262389 376031228 398548068 564046842 652524778 752062456 797096136 978787167 1128093684 1305049556 1957574334 2256187368 2610099112 3915148668 5546460613 7830297336 11092921226 16639381839 22185842452 33278763678 44371684904 66557527356 133115054712