Search a number
-
+
313411105667 = 1126733848699
BaseRepresentation
bin1001000111110001100…
…00011111001110000011
31002221222011021210011102
410203320300133032003
520113331220340132
6355551251405015
731433422304642
oct4437060371603
91087864253142
10313411105667
11110a0a442500
12508a88b376b
132372942caaa
1411252323359
158244c69c62
hex48f8c1f383

313411105667 has 12 divisors (see below), whose sum is σ = 345005165400. Its totient is φ = 284495756160.

The previous prime is 313411105663. The next prime is 313411105673. The reversal of 313411105667 is 766501114313.

It is not a de Polignac number, because 313411105667 - 22 = 313411105663 is a prime.

It is a super-2 number, since 2×3134111056672 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313411105667.

It is not an unprimeable number, because it can be changed into a prime (313411105663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1842917 + ... + 2005782.

It is an arithmetic number, because the mean of its divisors is an integer number (28750430450).

Almost surely, 2313411105667 is an apocalyptic number.

313411105667 is a deficient number, since it is larger than the sum of its proper divisors (31594059733).

313411105667 is a wasteful number, since it uses less digits than its factorization.

313411105667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849394 (or 3849383 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 313411105667 in words is "three hundred thirteen billion, four hundred eleven million, one hundred five thousand, six hundred sixty-seven".

Divisors: 1 11 121 673 7403 81433 3848699 42335689 465692579 2590174427 28491918697 313411105667