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313312121032212 = 22328703114473117
BaseRepresentation
bin100011100111101001010100…
…1101011011000111000010100
31112002100100100102020101012200
41013033102221223120320110
5312031301210441012322
63030205333521444500
7122665024302321351
oct10717225153307024
91462310312211180
10313312121032212
1190915a19324405
122b181ba34a0730
13105a928b14c333
14575255d6c5628
152634e798818ac
hex11cf4a9ad8e14

313312121032212 has 18 divisors (see below), whose sum is σ = 791983417053738. Its totient is φ = 104437373677392.

The previous prime is 313312121032199. The next prime is 313312121032249. The reversal of 313312121032212 is 212230121213313.

313312121032212 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 121 + 210 + 322 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 224966521245456 + 88345599786756 = 14998884^2 + 9399234^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3133121210322122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4351557236523 + ... + 4351557236594.

Almost surely, 2313312121032212 is an apocalyptic number.

It is an amenable number.

313312121032212 is an abundant number, since it is smaller than the sum of its proper divisors (478671296021526).

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

313312121032212 is a wasteful number, since it uses less digits than its factorization.

313312121032212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8703114473127 (or 8703114473122 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 313312121032212 its reverse (212230121213313), we get a palindrome (525542242245525).

The spelling of 313312121032212 in words is "three hundred thirteen trillion, three hundred twelve billion, one hundred twenty-one million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 8703114473117 17406228946234 26109343419351 34812457892468 52218686838702 78328030258053 104437373677404 156656060516106 313312121032212