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132401114030202 = 23174759648172227
BaseRepresentation
bin11110000110101100001001…
…010111101010000001111010
3122100210102102021200002212120
4132012230021113222001322
5114323224440142431302
61145332122044422110
736613444014210153
oct3606541127520172
9570712367602776
10132401114030202
1139206aa71a8826
1212a24281247936
1358b54aa1ab654
14249a368b6292a
1510490cbb779bc
hex786b095ea07a

132401114030202 has 128 divisors (see below), whose sum is σ = 291246593863680. Its totient is φ = 39958058004480.

The previous prime is 132401114030189. The next prime is 132401114030291. The reversal of 132401114030202 is 202030411104231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1833088813 + ... + 1833161039.

It is an arithmetic number, because the mean of its divisors is an integer number (2275364014560).

Almost surely, 2132401114030202 is an apocalyptic number.

132401114030202 is an abundant number, since it is smaller than the sum of its proper divisors (158845479833478).

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

132401114030202 is a wasteful number, since it uses less digits than its factorization.

132401114030202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78836.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132401114030202 its reverse (202030411104231), we get a palindrome (334431525134433).

The spelling of 132401114030202 in words is "one hundred thirty-two trillion, four hundred one billion, one hundred fourteen million, thirty thousand, two hundred two".

Divisors: 1 2 3 6 17 34 47 51 59 94 102 118 141 177 282 354 799 1003 1598 2006 2397 2773 3009 4794 5546 6018 6481 8319 12962 16638 19443 38886 47141 72227 94282 110177 141423 144454 216681 220354 282846 304607 330531 382379 433362 609214 661062 764758 913821 1147137 1227859 1827642 2294274 2455718 3394669 3683577 4261393 5178319 6500443 6789338 7367154 8522786 10184007 10356638 12784179 13000886 15534957 17971813 19501329 20368014 25568358 31069914 35943626 39002658 53915439 57709373 72443681 107830878 115418746 144887362 173128119 200285471 217331043 305520821 346256238 400570942 434662086 468103187 600856413 611041642 916562463 936206374 1201712826 1404309561 1833124926 2808619122 3404853007 6809706014 7957754179 10214559021 15915508358 20429118042 22000849789 23873262537 27618088033 44001699578 47746525074 55236176066 66002549367 82854264099 132005098734 165708528198 374014446413 469507496561 748028892826 939014993122 1122043339239 1298050137551 1408522489683 2244086678478 2596100275102 2817044979366 3894150412653 7788300825306 22066852338367 44133704676734 66200557015101 132401114030202