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131020102103022 = 23311220052051133
BaseRepresentation
bin11101110010100101111110…
…101001001110111111101110
3122011220101210012002100112000
4131302211332221032333232
5114133113132114244042
61142353445354153130
736411614161416036
oct3562457651167756
9564811705070460
10131020102103022
1138824349a4a700
12128406a71227a6
1358151b1427432
14244d59a2a88c6
1510232009e874c
hex77297ea4efee

131020102103022 has 48 divisors (see below), whose sum is σ = 320030736098640. Its totient is φ = 39703061241360.

The previous prime is 131020102102997. The next prime is 131020102103087. The reversal of 131020102103022 is 220301201020131.

131020102103022 is a `hidden beast` number, since 1 + 310 + 20 + 10 + 21 + 0 + 302 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131020102102986 and 131020102103004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10026019033 + ... + 10026032100.

It is an arithmetic number, because the mean of its divisors is an integer number (6667307002055).

Almost surely, 2131020102103022 is an apocalyptic number.

131020102103022 is an abundant number, since it is smaller than the sum of its proper divisors (189010633995618).

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

131020102103022 is a wasteful number, since it uses less digits than its factorization.

131020102103022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20052051166 (or 20052051149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131020102103022 its reverse (220301201020131), we get a palindrome (351321303123153).

The spelling of 131020102103022 in words is "one hundred thirty-one trillion, twenty billion, one hundred two million, one hundred three thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 20052051133 40104102266 60156153399 120312306798 180468460197 220572562463 360936920394 441145124926 541405380591 661717687389 1082810761182 1323435374778 1985153062167 2426298187093 3970306124334 4852596374186 5955459186501 7278894561279 11910918373002 14557789122558 21836683683837 43673367367674 65510051051511 131020102103022