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132002102230110 = 232571243716847081
BaseRepresentation
bin11110000000111000100010…
…011010011011110001011110
3122022101021111110120111022100
4132000320202122123301132
5114300210301132330420
61144424532325025530
736542560101652350
oct3600704232336136
9568337443514270
10132002102230110
113907286046a672
121297aa84b552a6
13588698b5084a8
142484d15d190d0
15103da26dce190
hex780e2269bc5e

132002102230110 has 96 divisors (see below), whose sum is σ = 392266379074752. Its totient is φ = 30169481310720.

The previous prime is 132002102230109. The next prime is 132002102230111. The reversal of 132002102230110 is 11032201200231.

132002102230110 is a `hidden beast` number, since 1 + 320 + 0 + 2 + 1 + 0 + 2 + 230 + 110 = 666.

It is an interprime number because it is at equal distance from previous prime (132002102230109) and next prime (132002102230111).

It is a super-2 number, since 2×1320021022301102 (a number of 29 digits) contains 22 as substring.

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 (132002102230111) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 588231 + ... + 16258850.

It is an arithmetic number, because the mean of its divisors is an integer number (4086108115362).

Almost surely, 2132002102230110 is an apocalyptic number.

132002102230110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132002102230110 is an abundant number, since it is smaller than the sum of its proper divisors (260264276844642).

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

132002102230110 is a wasteful number, since it uses less digits than its factorization.

132002102230110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16859538 (or 16859535 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132002102230110 its reverse (11032201200231), we get a palindrome (143034303430341).

The spelling of 132002102230110 in words is "one hundred thirty-two trillion, two billion, one hundred two million, two hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 12437 24874 37311 62185 74622 87059 111933 124370 174118 186555 223866 261177 373110 435295 522354 559665 783531 870590 1119330 1305885 1567062 2611770 3917655 7835310 16847081 33694162 50541243 84235405 101082486 117929567 151623729 168470810 235859134 252706215 303247458 353788701 505412430 589647835 707577402 758118645 1061366103 1179295670 1516237290 1768943505 2122732206 3537887010 5306830515 10613661030 209527146397 419054292794 628581439191 1047635731985 1257162878382 1466690024779 1885744317573 2095271463970 2933380049558 3142907195955 3771488635146 4400070074337 6285814391910 7333450123895 8800140148674 9428721587865 13200210223011 14666900247790 18857443175730 22000350371685 26400420446022 44000700743370 66001051115055 132002102230110