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131310112120 = 235111012954773
BaseRepresentation
bin111101001001010110…
…0010100110101111000
3110112221020010211120221
41322102230110311320
54122410342041440
6140153435225424
712325662352135
oct1722254246570
9415836124527
10131310112120
1150763153820
12215475a8274
13c4c84403c5
1464d949d58c
153637d9ed4a
hex1e92b14d78

131310112120 has 64 divisors (see below), whose sum is σ = 325497903840. Its totient is φ = 47276352000.

The previous prime is 131310112103. The next prime is 131310112123. The reversal of 131310112120 is 21211013131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131310112094 and 131310112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131310112123) 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 15 ways as a sum of consecutive naturals, for example, 1432947 + ... + 1521826.

Almost surely, 2131310112120 is an apocalyptic number.

131310112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131310112120 is an abundant number, since it is smaller than the sum of its proper divisors (194187791720).

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

131310112120 is a wasteful number, since it uses less digits than its factorization.

131310112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954896 (or 2954892 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131310112120 its reverse (21211013131), we get a palindrome (152521125251).

It can be divided in two parts, 13131011 and 2120, that added together give a palindrome (13133131).

The spelling of 131310112120 in words is "one hundred thirty-one billion, three hundred ten million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 2954773 5909546 11819092 14773865 23638184 29547730 32502503 59095460 65005006 118190920 130010012 162512515 260020024 298432073 325025030 596864146 650050060 1193728292 1300100120 1492160365 2387456584 2984320730 3282752803 5968641460 6565505606 11937282920 13131011212 16413764015 26262022424 32827528030 65655056060 131310112120