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132405102513430 = 25194180092122213
BaseRepresentation
bin11110000110101111110111…
…000110100000110100010110
3122100210210201020201001021121
4132012233313012200310112
5114323311122220412210
61145334021523434154
736613644604566145
oct3606576706406426
9570723636631247
10132405102513430
113920876363625a
1212a24bb4b2595a
1358b59945c9cb6
14249a62675975c
151049261dc56da
hex786bf71a0d16

132405102513430 has 64 divisors (see below), whose sum is σ = 257023884196800. Its totient is φ = 48944660244480.

The previous prime is 132405102513421. The next prime is 132405102513469. The reversal of 132405102513430 is 34315201504231.

It is a super-2 number, since 2×1324051025134302 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61329004 + ... + 63451216.

It is an arithmetic number, because the mean of its divisors is an integer number (4015998190575).

Almost surely, 2132405102513430 is an apocalyptic number.

132405102513430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132405102513430 is a deficient number, since it is larger than the sum of its proper divisors (124618781683370).

132405102513430 is a wasteful number, since it uses less digits than its factorization.

132405102513430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130289.

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 132405102513430 in words is "one hundred thirty-two trillion, four hundred five billion, one hundred two million, five hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 5 10 19 38 41 82 95 190 205 410 779 1558 3895 7790 8009 16018 40045 80090 152171 304342 328369 656738 760855 1521710 1641845 2122213 3283690 4244426 6239011 10611065 12478022 21222130 31195055 40322047 62390110 80644094 87010733 174021466 201610235 403220470 435053665 870107330 1653203927 3306407854 8266019635 16532039270 16996803917 33993607834 84984019585 169968039170 322939274423 645878548846 696868960597 1393737921194 1614696372115 3229392744230 3484344802985 6968689605970 13240510251343 26481020502686 66202551256715 132405102513430