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133012213002 = 2326127092801
BaseRepresentation
bin111101111100000100…
…1010100110100001010
3110201022211221112001100
41323320021110310022
54134402111304002
6141034401202230
712416111104314
oct1737011246412
9421284845040
10133012213002
1151456a21369
1221941630376
13c709c73ca6
14661b5707b4
1536d751b11c
hex1ef8254d0a

133012213002 has 72 divisors (see below), whose sum is σ = 293513058540. Its totient is φ = 43533504000.

The previous prime is 133012212967. The next prime is 133012213007. The reversal of 133012213002 is 200312210331.

133012213002 is a `hidden beast` number, since 1 + 330 + 12 + 21 + 300 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 49154121 + 132963058881 = 7011^2 + 364641^2 .

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 (133012213007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47486002 + ... + 47488802.

Almost surely, 2133012213002 is an apocalyptic number.

133012213002 is an abundant number, since it is smaller than the sum of its proper divisors (160500845538).

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

133012213002 is a wasteful number, since it uses less digits than its factorization.

133012213002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133012213002 its reverse (200312210331), we get a palindrome (333324423333).

The spelling of 133012213002 in words is "one hundred thirty-three billion, twelve million, two hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 709 1098 1418 2127 2801 3721 4254 5602 6381 7442 8403 11163 12762 16806 22326 25209 33489 43249 50418 66978 86498 129747 170861 259494 341722 389241 512583 778482 1025166 1537749 1985909 2638189 3075498 3971818 5276378 5957727 7914567 10422521 11915454 15829134 17873181 20845042 23743701 31267563 35746362 47487402 62535126 93802689 121140449 187605378 242280898 363421347 726842694 1090264041 2180528082 7389567389 14779134778 22168702167 44337404334 66506106501 133012213002