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131122233106 = 22937199479641
BaseRepresentation
bin111101000011101111…
…1100111111100010010
3110112110010121121000221
41322013133213330102
54122014242424411
6140123044303254
712321221406664
oct1720737477422
9415403547027
10131122233106
115067709a507
12214b46a1b2a
13c49853b1a7
1464bc554534
15362663c071
hex1e877e7f12

131122233106 has 64 divisors (see below), whose sum is σ = 210781440000. Its totient is φ = 61056737280.

The previous prime is 131122233079. The next prime is 131122233107. The reversal of 131122233106 is 601332221131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131122233107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204558546 + ... + 204559186.

It is an arithmetic number, because the mean of its divisors is an integer number (3293460000).

Almost surely, 2131122233106 is an apocalyptic number.

131122233106 is a deficient number, since it is larger than the sum of its proper divisors (79659206894).

131122233106 is a wasteful number, since it uses less digits than its factorization.

131122233106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 131122233106 its reverse (601332221131), we get a palindrome (732454454237).

The spelling of 131122233106 in words is "one hundred thirty-one billion, one hundred twenty-two million, two hundred thirty-three thousand, one hundred six".

Divisors: 1 2 29 37 58 74 199 398 479 641 958 1073 1282 2146 5771 7363 11542 13891 14726 17723 18589 23717 27782 35446 37178 47434 95321 127559 190642 213527 255118 307039 427054 513967 614078 687793 1027934 1375586 2764309 3526877 3699211 4719683 5528618 7053754 7398422 8904131 9439366 11360443 17808262 22720886 61100761 102279433 122201522 136870807 204558866 273741614 329452847 658905694 1771922069 2260728157 3543844138 4521456314 65561116553 131122233106