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132118312106 = 2111719139181739
BaseRepresentation
bin111101100001011011…
…1010111010010101010
3110122000112220122112202
41323002313113102222
54131034241441411
6140405545540202
712355005060254
oct1730267272252
9418015818482
10132118312106
11510383853a0
12217321a4662
13c5c6a04751
146574960cd4
153683ce683b
hex1ec2dd74aa

132118312106 has 128 divisors (see below), whose sum is σ = 244363392000. Its totient is φ = 52795929600.

The previous prime is 132118312103. The next prime is 132118312127. The reversal of 132118312106 is 601213811231.

It is not an unprimeable number, because it can be changed into a prime (132118312103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178779485 + ... + 178780223.

It is an arithmetic number, because the mean of its divisors is an integer number (1909089000).

Almost surely, 2132118312106 is an apocalyptic number.

132118312106 is a deficient number, since it is larger than the sum of its proper divisors (112245079894).

132118312106 is a wasteful number, since it uses less digits than its factorization.

132118312106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 132118312106 in words is "one hundred thirty-two billion, one hundred eighteen million, three hundred twelve thousand, one hundred six".

Divisors: 1 2 11 17 19 22 34 38 139 181 187 209 278 323 362 374 418 646 739 1478 1529 1991 2363 2641 3058 3077 3439 3553 3982 4726 5282 6154 6878 7106 8129 12563 14041 16258 25126 25159 25993 28082 29051 33847 37829 44897 50318 51986 58102 58463 67694 75658 89794 102721 116926 133759 138193 154451 205442 238697 267518 276386 276749 308902 427703 477394 478021 493867 553498 643093 855406 956042 987734 1129931 1286186 1471349 1746257 1951699 2259862 2273903 2541421 2625667 2942698 3492514 3903398 4547806 4704733 5082842 5251334 5258231 8126357 9409466 10516462 16252714 18592501 19208827 21468689 25012933 27955631 33178883 37185002 38417654 42937378 43204157 50025866 55911262 66357766 86408314 89389927 178779854 204517511 316072517 353257519 364967713 409035022 475245727 632145034 706515038 729935426 950491454 3476797687 3885832709 6005377823 6953595374 7771665418 12010755646 66059156053 132118312106