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131110101122 = 271113193446819
BaseRepresentation
bin111101000011011000…
…1010110000010000010
3110112102021210020002012
41322012301112002002
54122003141213442
6140121532252522
712321013320530
oct1720661260202
9415367706065
10131110101122
1150670263580
12214b0611142
13c495b810c0
1464baab7150
153625542582
hex1e86c56082

131110101122 has 64 divisors (see below), whose sum is σ = 277951564800. Its totient is φ = 44670761280.

The previous prime is 131110101121. The next prime is 131110101151. The reversal of 131110101122 is 221101011131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 131110101097 and 131110101106.

It is not an unprimeable number, because it can be changed into a prime (131110101121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1685372 + ... + 1761447.

It is an arithmetic number, because the mean of its divisors is an integer number (4342993200).

Almost surely, 2131110101122 is an apocalyptic number.

131110101122 is an abundant number, since it is smaller than the sum of its proper divisors (146841463678).

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

131110101122 is a wasteful number, since it uses less digits than its factorization.

131110101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446871.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 131110101122 its reverse (221101011131), we get a palindrome (352211112253).

It can be divided in two parts, 131110 and 101122, that added together give a palindrome (232232).

The spelling of 131110101122 in words is "one hundred thirty-one billion, one hundred ten million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 19 22 26 38 77 91 133 143 154 182 209 247 266 286 418 494 1001 1463 1729 2002 2717 2926 3458 5434 19019 38038 3446819 6893638 24127733 37915009 44808647 48255466 65489561 75830018 89617294 130979122 265405063 313660529 458426927 492895117 530810126 627321058 720385171 851364293 916853854 985790234 1440770342 1702728586 3450265819 5042696197 5959550051 6900531638 9365007223 10085392394 11919100102 18730014446 65555050561 131110101122