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131123102214 = 231319229386363
BaseRepresentation
bin111101000011110001…
…0111100001000000110
3110112110012020202020010
41322013202330020012
54122020003232324
6140123115051050
712321231656556
oct1720742741006
9415405222203
10131123102214
1150677633485
12214b4a40a86
13c498783960
1464bc6dd166
15362675e829
hex1e878bc206

131123102214 has 64 divisors (see below), whose sum is σ = 298582099200. Its totient is φ = 38055111552.

The previous prime is 131123102179. The next prime is 131123102239. The reversal of 131123102214 is 412201321131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146197 + ... + 532559.

It is an arithmetic number, because the mean of its divisors is an integer number (4665345300).

Almost surely, 2131123102214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131123102214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149291049600).

131123102214 is an abundant number, since it is smaller than the sum of its proper divisors (167458996986).

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

131123102214 is a wasteful number, since it uses less digits than its factorization.

131123102214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386629.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131123102214 its reverse (412201321131), we get a palindrome (543324423345).

The spelling of 131123102214 in words is "one hundred thirty-one billion, one hundred twenty-three million, one hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 229 247 458 494 687 741 1374 1482 2977 4351 5954 8702 8931 13053 17862 26106 56563 113126 169689 339378 386363 772726 1159089 2318178 5022719 7340897 10045438 14681794 15068157 22022691 30136314 44045382 88477127 95431661 176954254 190863322 265431381 286294983 530862762 572589966 1150202651 1681065413 2300405302 3362130826 3450607953 5043196239 6901215906 10086392478 21853850369 43707700738 65561551107 131123102214