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131122102144 = 2711172322237
BaseRepresentation
bin111101000011101111…
…1000111111110000000
3110112110010100221101111
41322013133013332000
54122014224232034
6140123041413104
712321220323115
oct1720737077600
9415403327344
10131122102144
1150677010080
12214b463a194
13c4984c36b7
1464bc51c90c
153626613364
hex1e877c7f80

131122102144 has 96 divisors (see below), whose sum is σ = 302716821960. Its totient is φ = 56094842880.

The previous prime is 131122102109. The next prime is 131122102147. The reversal of 131122102144 is 441201221131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122102147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245794 + ... + 568030.

Almost surely, 2131122102144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131122102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151358410980).

131122102144 is an abundant number, since it is smaller than the sum of its proper divisors (171594719816).

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

131122102144 is a wasteful number, since it uses less digits than its factorization.

131122102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322296 (or 322267 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 131122102144 its reverse (441201221131), we get a palindrome (572323323275).

The spelling of 131122102144 in words is "one hundred thirty-one billion, one hundred twenty-two million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 289 352 374 544 578 704 748 1088 1156 1408 1496 2176 2312 2992 3179 4624 5984 6358 9248 11968 12716 18496 23936 25432 36992 50864 101728 203456 322237 406912 644474 1288948 2577896 3544607 5155792 5478029 7089214 10311584 10956058 14178428 20623168 21912116 28356856 41246336 43824232 56713712 60258319 87648464 93126493 113427424 120516638 175296928 186252986 226854848 241033276 350593856 372505972 453709696 482066552 701187712 745011944 964133104 1024391423 1490023888 1928266208 2048782846 2980047776 3856532416 4097565692 5960095552 7713064832 8195131384 11920191104 16390262768 32780525536 65561051072 131122102144