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132201021113010 = 23256418419272191
BaseRepresentation
bin11110000011110001110010…
…111001110000001010110010
3122100002021221110112201221200
4132003301302321300022302
5114311440142401104020
61145100151035032030
736563131354400433
oct3603616271601262
9570067843481850
10132201021113010
113913a157a43563
12129b153a59b616
13589c66c8587b5
1424907c65b548a
151043cba49c590
hex783c72e702b2

132201021113010 has 96 divisors (see below), whose sum is σ = 344301039313920. Its totient is φ = 35194297651200.

The previous prime is 132201021113003. The next prime is 132201021113011. The reversal of 132201021113010 is 10311120102231.

132201021113010 is a `hidden beast` number, since 1 + 322 + 0 + 1 + 0 + 211 + 130 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132201021113011) 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, 485556015 + ... + 485828205.

It is an arithmetic number, because the mean of its divisors is an integer number (3586469159520).

Almost surely, 2132201021113010 is an apocalyptic number.

132201021113010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132201021113010 is an abundant number, since it is smaller than the sum of its proper divisors (212100018200910).

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

132201021113010 is a wasteful number, since it uses less digits than its factorization.

132201021113010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281264 (or 281261 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 132201021113010 its reverse (10311120102231), we get a palindrome (142512141215241).

The spelling of 132201021113010 in words is "one hundred thirty-two trillion, two hundred one billion, twenty-one million, one hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 641 1282 1923 3205 3846 5769 6410 8419 9615 11538 16838 19230 25257 28845 42095 50514 57690 75771 84190 126285 151542 252570 272191 378855 544382 757710 816573 1360955 1633146 2449719 2721910 4082865 4899438 5396579 8165730 10793158 12248595 16189737 24497190 26982895 32379474 48569211 53965790 80948685 97138422 161897370 174474431 242846055 348948862 485692110 523423293 872372155 1046846586 1570269879 1744744310 2291576029 2617116465 3140539758 4583152058 5234232930 6874728087 7851349395 11457880145 13749456174 15702698790 20624184261 22915760290 34373640435 41248368522 68747280870 103120921305 206241842610 1468900234589 2937800469178 4406700703767 7344501172945 8813401407534 13220102111301 14689002345890 22033503518835 26440204222602 44067007037670 66100510556505 132201021113010