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131023101111 = 37243312131697
BaseRepresentation
bin111101000000110010…
…1011101110010110111
3110112012020002011111120
41322001211131302313
54121313403213421
6140105143435023
712315605661300
oct1720145356267
9415166064446
10131023101111
1150626141141
1221487455a73
13c480b3c7c6
1464ad30b7a7
15361caa98c6
hex1e8195dcb7

131023101111 has 48 divisors (see below), whose sum is σ = 203976882144. Its totient is φ = 74591870976.

The previous prime is 131023101089. The next prime is 131023101149. The reversal of 131023101111 is 111101320131.

It is not a de Polignac number, because 131023101111 - 214 = 131023084727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023101611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77207815 + ... + 77209511.

It is an arithmetic number, because the mean of its divisors is an integer number (4249518378).

Almost surely, 2131023101111 is an apocalyptic number.

131023101111 is a deficient number, since it is larger than the sum of its proper divisors (72953781033).

131023101111 is a wasteful number, since it uses less digits than its factorization.

131023101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 131023101111 its reverse (111101320131), we get a palindrome (242124421242).

The spelling of 131023101111 in words is "one hundred thirty-one billion, twenty-three million, one hundred one thousand, one hundred eleven".

Divisors: 1 3 7 21 49 147 433 1213 1299 1697 3031 3639 5091 8491 9093 11879 21217 25473 35637 59437 63651 83153 178311 249459 525229 734801 1575687 2058461 2204403 3676603 5143607 6175383 11029809 14409227 15430821 25736221 36005249 43227681 77208663 100864589 108015747 302593767 891313613 2673940839 6239195291 18717585873 43674367037 131023101111