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120546980157 = 31910141395059
BaseRepresentation
bin111000001000100101…
…0001111000100111101
3102112011010102002012210
41300101022033010331
53433340011331112
6131213432051033
711465160265512
oct1602112170475
9375133362183
10120546980157
114713a69a43a
121b442b33a79
13b4a160b176
145b97c4b309
153207eedb3c
hex1c1128f13d

120546980157 has 32 divisors (see below), whose sum is σ = 170938944000. Its totient is φ = 75348014400.

The previous prime is 120546980143. The next prime is 120546980171. The reversal of 120546980157 is 751089645021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120546980143) and next prime (120546980171).

It is not a de Polignac number, because 120546980157 - 218 = 120546718013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120546980107) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23825694 + ... + 23830752.

It is an arithmetic number, because the mean of its divisors is an integer number (5341842000).

Almost surely, 2120546980157 is an apocalyptic number.

It is an amenable number.

120546980157 is a deficient number, since it is larger than the sum of its proper divisors (50391963843).

120546980157 is a wasteful number, since it uses less digits than its factorization.

120546980157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9321.

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 120546980157 in words is "one hundred twenty billion, five hundred forty-six million, nine hundred eighty thousand, one hundred fifty-seven".

Divisors: 1 3 19 57 101 303 1919 4139 5059 5757 12417 15177 78641 96121 235923 288363 418039 510959 1254117 1532877 7942741 9708221 20939201 23828223 29124663 62817603 397844819 1193534457 2114859301 6344577903 40182326719 120546980157