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131121131442 = 23721992937649
BaseRepresentation
bin111101000011101101…
…1011010111110110010
3110112110001112121211120
41322013123122332302
54122014002201232
6140123004523110
712321206141100
oct1720733327662
9415401477746
10131121131442
1150676507844
12214b4250496
13c498243912
1464bc348c70
1536264c092c
hex1e876dafb2

131121131442 has 96 divisors (see below), whose sum is σ = 307676880000. Its totient is φ = 37142848512.

The previous prime is 131121131441. The next prime is 131121131443. The reversal of 131121131442 is 244131121131.

It is an interprime number because it is at equal distance from previous prime (131121131441) and next prime (131121131443).

It is a super-2 number, since 2×1311211314422 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131121131441) 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 47 ways as a sum of consecutive naturals, for example, 17138434 + ... + 17146082.

It is an arithmetic number, because the mean of its divisors is an integer number (3204967500).

Almost surely, 2131121131442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131121131442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153838440000).

131121131442 is an abundant number, since it is smaller than the sum of its proper divisors (176555748558).

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

131121131442 is a wasteful number, since it uses less digits than its factorization.

131121131442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8160 (or 8153 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 131121131442 its reverse (244131121131), we get a palindrome (375252252573).

The spelling of 131121131442 in words is "one hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 199 293 294 398 586 597 879 1194 1393 1758 2051 2786 4102 4179 6153 7649 8358 9751 12306 14357 15298 19502 22947 28714 29253 43071 45894 53543 58307 58506 86142 107086 116614 160629 174921 321258 349842 374801 408149 749602 816298 1124403 1224447 1522151 2241157 2248806 2448894 2857043 3044302 4482314 4566453 5714086 6723471 8571129 9132906 10655057 13446942 15688099 17142258 21310114 31376198 31965171 47064297 63930342 74585399 94128594 109816693 149170798 219633386 223756197 329450079 445990243 447512394 658900158 891980486 1337970729 2675941458 3121931701 6243863402 9365795103 18731590206 21853521907 43707043814 65560565721 131121131442