Search a number
-
+
331400223241032 = 2331110312187416271
BaseRepresentation
bin100101101011010000010000…
…0100101011011001101001000
31121110101112220100200221221110
41023112200200211123031020
5321414130124122203112
63132455054423010320
7126542606320301661
oct11326404045331510
91543345810627843
10331400223241032
119665a055485090
12312037002999a0
13112bbba37818ca
145bb9bdbd00368
15284a73119313c
hex12d682095b348

331400223241032 has 64 divisors (see below), whose sum is σ = 912593730447360. Its totient is φ = 99449316763200.

The previous prime is 331400223241007. The next prime is 331400223241099. The reversal of 331400223241032 is 230142322004133.

It is a happy number.

It is a super-2 number, since 2×3314002232410322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6093680944 + ... + 6093735327.

It is an arithmetic number, because the mean of its divisors is an integer number (14259277038240).

Almost surely, 2331400223241032 is an apocalyptic number.

It is an amenable number.

331400223241032 is an abundant number, since it is smaller than the sum of its proper divisors (581193507206328).

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

331400223241032 is a wasteful number, since it uses less digits than its factorization.

331400223241032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12187416394 (or 12187416390 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 331400223241032 its reverse (230142322004133), we get a palindrome (561542545245165).

The spelling of 331400223241032 in words is "three hundred thirty-one trillion, four hundred billion, two hundred twenty-three million, two hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 618 824 1133 1236 2266 2472 3399 4532 6798 9064 13596 27192 12187416271 24374832542 36562248813 48749665084 73124497626 97499330168 134061578981 146248995252 268123157962 292497990504 402184736943 536246315924 804369473886 1072492631848 1255303875913 1608738947772 2510607751826 3217477895544 3765911627739 5021215503652 7531823255478 10042431007304 13808342635043 15063646510956 27616685270086 30127293021912 41425027905129 55233370540172 82850055810258 110466741080344 165700111620516 331400223241032