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132201032100 = 223521725921771
BaseRepresentation
bin111101100011111001…
…0111010100110100100
3110122020022120021001020
41323013302322212210
54131221431011400
6140422102531140
712360031142364
oct1730762724644
9418208507036
10132201032100
1151080044125
1221755a36ab0
13c60aba7ba7
1465819349a4
15368b1d62a0
hex1ec7cba9a4

132201032100 has 72 divisors (see below), whose sum is σ = 405001765728. Its totient is φ = 33179865600.

The previous prime is 132201032087. The next prime is 132201032137. The reversal of 132201032100 is 1230102231.

It is a super-2 number, since 2×1322010321002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132201032100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12955786 + ... + 12965985.

It is an arithmetic number, because the mean of its divisors is an integer number (5625024524).

Almost surely, 2132201032100 is an apocalyptic number.

132201032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132201032100 is an abundant number, since it is smaller than the sum of its proper divisors (272800733628).

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

132201032100 is a wasteful number, since it uses less digits than its factorization.

132201032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25921805 (or 25921798 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132201032100 its reverse (1230102231), we get a palindrome (133431134331).

The spelling of 132201032100 in words is "one hundred thirty-two billion, two hundred one million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 25921771 51843542 77765313 103687084 129608855 155530626 259217710 311061252 388826565 440670107 518435420 648044275 777653130 881340214 1296088550 1322010321 1555306260 1762680428 1944132825 2203350535 2592177100 2644020642 3888265650 4406701070 5288041284 6610051605 7776531300 8813402140 11016752675 13220103210 22033505350 26440206420 33050258025 44067010700 66100516050 132201032100