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132020205314121 = 32643129893175631
BaseRepresentation
bin11110000001001001011001…
…011100001110000001001001
3122022110000020002201110000100
4132001021121130032001021
5114301004340030022441
61144441124533000013
736544100521433055
oct3601113134160111
9568400202643010
10132020205314121
113907a50015a623
1212982497783009
1358885b4bbc217
142485b522dac65
15103e23634acb6
hex78125970e049

132020205314121 has 24 divisors (see below), whose sum is σ = 190994982062976. Its totient is φ = 87875413909920.

The previous prime is 132020205314119. The next prime is 132020205314161. The reversal of 132020205314121 is 121413502020231.

It is a happy number.

132020205314121 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 0 + 2 + 0 + 531 + 4 + 121 = 666.

It is not a de Polignac number, because 132020205314121 - 21 = 132020205314119 is a prime.

It is a super-2 number, since 2×1320202053141212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132020205314161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751602976 + ... + 751778606.

It is an arithmetic number, because the mean of its divisors is an integer number (7958124252624).

Almost surely, 2132020205314121 is an apocalyptic number.

It is an amenable number.

132020205314121 is a deficient number, since it is larger than the sum of its proper divisors (58974776748855).

132020205314121 is a wasteful number, since it uses less digits than its factorization.

132020205314121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306173 (or 306170 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 132020205314121 its reverse (121413502020231), we get a palindrome (253433707334352).

The spelling of 132020205314121 in words is "one hundred thirty-two trillion, twenty billion, two hundred five million, three hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 3 9 643 1929 5787 129893 175631 389679 526893 1169037 1580679 83521199 112930733 250563597 338792199 751690791 1016376597 22813237483 68439712449 205319137347 14668911701569 44006735104707 132020205314121