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120132431314131 = 319113159711678903
BaseRepresentation
bin11011010100001010000010…
…111001001111110011010011
3120202100112210200122211112210
4123110022002321033303103
5111221222204404023011
61103300024351323203
734206165431605665
oct3324120271176323
9522315720584483
10120132431314131
11353069726a3665
1211582578220503
135205593c32302
1421946253ca535
15dd4dc0b786a6
hex6d4282e4fcd3

120132431314131 has 32 divisors (see below), whose sum is σ = 170205543959040. Its totient is φ = 75154575250944.

The previous prime is 120132431314127. The next prime is 120132431314163. The reversal of 120132431314131 is 131413134231021.

It is a happy number.

It is not a de Polignac number, because 120132431314131 - 22 = 120132431314127 is a prime.

It is a super-2 number, since 2×1201324313141312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120132431314531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4446826 + ... + 16125728.

It is an arithmetic number, because the mean of its divisors is an integer number (5318923248720).

Almost surely, 2120132431314131 is an apocalyptic number.

120132431314131 is a deficient number, since it is larger than the sum of its proper divisors (50073112644909).

120132431314131 is a wasteful number, since it uses less digits than its factorization.

120132431314131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11680635.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 120132431314131 its reverse (131413134231021), we get a palindrome (251545565545152).

The spelling of 120132431314131 in words is "one hundred twenty trillion, one hundred thirty-two billion, four hundred thirty-one million, three hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 19 57 113 339 1597 2147 4791 6441 30343 91029 180461 541383 3428759 10286277 11678903 35036709 221899157 665697471 1319716039 3959148117 18651208091 25074604741 55953624273 75223814223 354372953729 1063118861187 2107586514283 6322759542849 40044143771377 120132431314131