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131022111213 = 32722329344087
BaseRepresentation
bin111101000000110000…
…1101100000111101101
3110112012011012212121200
41322001201230013231
54121313130024323
6140105110320113
712315564366300
oct1720141540755
9415164185550
10131022111213
1150625625444
1221487059039
13c480884076
1464ad130b37
15361c961443
hex1e8186c1ed

131022111213 has 72 divisors (see below), whose sum is σ = 230513931648. Its totient is φ = 71368532928.

The previous prime is 131022111161. The next prime is 131022111257. The reversal of 131022111213 is 312111220131.

It is not a de Polignac number, because 131022111213 - 28 = 131022110957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131022111293) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2949856 + ... + 2993942.

It is an arithmetic number, because the mean of its divisors is an integer number (3201582384).

Almost surely, 2131022111213 is an apocalyptic number.

It is an amenable number.

131022111213 is a deficient number, since it is larger than the sum of its proper divisors (99491820435).

131022111213 is a wasteful number, since it uses less digits than its factorization.

131022111213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44423 (or 44413 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131022111213 its reverse (312111220131), we get a palindrome (443133331344).

The spelling of 131022111213 in words is "one hundred thirty-one billion, twenty-two million, one hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 293 441 483 879 1127 1449 2051 2637 3381 6153 6739 10143 14357 18459 20217 43071 44087 47173 60651 129213 132261 141519 308609 330211 396783 424557 925827 990633 1014001 2160263 2777481 2971899 3042003 6480789 7098007 9126009 12917491 19442367 21294021 38752473 49686049 63882063 90422437 116257419 149058147 271267311 297102293 447174441 632957059 813801933 891306879 1898871177 2079716051 2673920637 5696613531 6239148153 14558012357 18717444459 43674037071 131022111213