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132100402230400 = 2752257160627921
BaseRepresentation
bin11110000010010100000101…
…100011001011010010000000
3122022201200020011100220100211
4132002110011203023102000
5114303313110432333100
61144542030443123504
736552640054116442
oct3602240543132200
9568650204326324
10132100402230400
113910051423282a
1212995b39513594
135893025a6b836
14248999d294492
15104137bc651ba
hex7825058cb480

132100402230400 has 96 divisors (see below), whose sum is σ = 327599040639780. Its totient is φ = 52634556825600.

The previous prime is 132100402230389. The next prime is 132100402230437. The reversal of 132100402230400 is 4032204001231.

It can be written as a sum of positive squares in 6 ways, for example, as 122112931422784 + 9987470807616 = 11050472^2 + 3160296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79491561 + ... + 81136360.

Almost surely, 2132100402230400 is an apocalyptic number.

132100402230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132100402230400 is an abundant number, since it is smaller than the sum of its proper divisors (195498638409380).

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

132100402230400 is a wasteful number, since it uses less digits than its factorization.

132100402230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160628202 (or 160628185 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 132100402230400 its reverse (4032204001231), we get a palindrome (136132606231631).

The spelling of 132100402230400 in words is "one hundred thirty-two trillion, one hundred billion, four hundred two million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 257 320 400 514 640 800 1028 1285 1600 2056 2570 3200 4112 5140 6425 8224 10280 12850 16448 20560 25700 32896 41120 51400 82240 102800 164480 205600 411200 822400 160627921 321255842 642511684 803139605 1285023368 1606279210 2570046736 3212558420 4015698025 5140093472 6425116840 8031396050 10280186944 12850233680 16062792100 20560373888 25700467360 32125584200 41281375697 51400934720 64251168400 82562751394 102801869440 128502336800 165125502788 206406878485 257004673600 330251005576 412813756970 514009347200 660502011152 825627513940 1032034392425 1321004022304 1651255027880 2064068784850 2642008044608 3302510055760 4128137569700 5284016089216 6605020111520 8256275139400 13210040223040 16512550278800 26420080446080 33025100557600 66050201115200 132100402230400