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131023102221 = 32111323465679
BaseRepresentation
bin111101000000110010…
…1011110000100001101
3110112012020002020000200
41322001211132010031
54121313403232341
6140105143444113
712315605664444
oct1720145360415
9415166066020
10131023102221
1150626141a60
1221487456639
13c480b4016b
1464ad30bd5b
15361caa9db6
hex1e8195e10d

131023102221 has 12 divisors (see below), whose sum is σ = 206460646080. Its totient is φ = 79407940680.

The previous prime is 131023102211. The next prime is 131023102229. The reversal of 131023102221 is 122201320131.

131023102221 is a `hidden beast` number, since 1 + 310 + 2 + 310 + 22 + 21 = 666.

It is not a de Polignac number, because 131023102221 - 227 = 130888884493 is a prime.

It is a super-2 number, since 2×1310231022212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131023102194 and 131023102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023102229) 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 11 ways as a sum of consecutive naturals, for example, 661732741 + ... + 661732938.

It is an arithmetic number, because the mean of its divisors is an integer number (17205053840).

Almost surely, 2131023102221 is an apocalyptic number.

131023102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131023102221 is a deficient number, since it is larger than the sum of its proper divisors (75437543859).

131023102221 is a wasteful number, since it uses less digits than its factorization.

131023102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323465696 (or 1323465693 counting only the distinct ones).

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

Adding to 131023102221 its reverse (122201320131), we get a palindrome (253224422352).

The spelling of 131023102221 in words is "one hundred thirty-one billion, twenty-three million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 1323465679 3970397037 11911191111 14558122469 43674367407 131023102221