Search a number
-
+
10311293210004 = 22321716848518317
BaseRepresentation
bin1001011000001100100011…
…1110000000110110010100
31100111202020202022210022200
42112003020332000312110
52322420012030210004
633532535342524500
72112652313102313
oct226031076006624
940452222283280
1010311293210004
113315aa4225126
1211a6493296730
1359a473872ac7
142790d806827a
1512d348cad239
hex960c8f80d94

10311293210004 has 36 divisors (see below), whose sum is σ = 27597873004884. Its totient is φ = 3234915516672.

The previous prime is 10311293209891. The next prime is 10311293210039. The reversal of 10311293210004 is 40001239211301.

10311293210004 is a `hidden beast` number, since 1 + 0 + 311 + 29 + 321 + 0 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6621090629904 + 3690202580100 = 2573148^2 + 1920990^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10311293210004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8424258547 + ... + 8424259770.

It is an arithmetic number, because the mean of its divisors is an integer number (766607583469).

Almost surely, 210311293210004 is an apocalyptic number.

It is an amenable number.

10311293210004 is an abundant number, since it is smaller than the sum of its proper divisors (17286579794880).

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

10311293210004 is a wasteful number, since it uses less digits than its factorization.

10311293210004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16848518344 (or 16848518339 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10311293210004 in words is "ten trillion, three hundred eleven billion, two hundred ninety-three million, two hundred ten thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 16848518317 33697036634 50545554951 67394073268 101091109902 151636664853 202182219804 286424811389 303273329706 572849622778 606546659412 859274434167 1145699245556 1718548868334 2577823302501 3437097736668 5155646605002 10311293210004