Search a number
-
+
10311421231314 = 2327211690953777
BaseRepresentation
bin1001011000001101000010…
…0110011000000011010010
31100111202120200012221112200
42112003100212120003102
52322420242313400224
633533000154504030
72112655426212300
oct226032046300322
940452520187480
1010311421231314
11331605a515465
1211a650a135016
1359a494247a68
1427910b071270
1512d35514a5c9
hex960d09980d2

10311421231314 has 36 divisors (see below), whose sum is σ = 25988990248494. Its totient is φ = 2946120351552.

The previous prime is 10311421231301. The next prime is 10311421231373. The reversal of 10311421231314 is 41313212411301.

10311421231314 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 1 + 421 + 231 + 3 + 1 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7037257645089 + 3274163586225 = 2652783^2 + 1809465^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5845476007 + ... + 5845477770.

Almost surely, 210311421231314 is an apocalyptic number.

10311421231314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10311421231314 is an abundant number, since it is smaller than the sum of its proper divisors (15677569017180).

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

10311421231314 is a wasteful number, since it uses less digits than its factorization.

10311421231314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11690953799 (or 11690953789 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10311421231314 its reverse (41313212411301), we get a palindrome (51624633642615).

The spelling of 10311421231314 in words is "ten trillion, three hundred eleven billion, four hundred twenty-one million, two hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 11690953777 23381907554 35072861331 70145722662 81836676439 105218583993 163673352878 210437167986 245510029317 491020058634 572856735073 736530087951 1145713470146 1473060175902 1718570205219 3437140410438 5155710615657 10311421231314