Search a number
-
+
13010746562001 = 323751521758357
BaseRepresentation
bin1011110101010100110011…
…1011010101010111010001
31201001211000022001102221100
42331111030323111113101
53201132002104441001
643401015432415013
72511665300023056
oct275251473252721
951054008042840
1013010746562001
1141669102768a1
1215616a0847469
13734ba6238546
1432da1b3a302d
1517868cd63586
hexbd54ced55d1

13010746562001 has 24 divisors (see below), whose sum is σ = 19301627712744. Its totient is φ = 8439228241920.

The previous prime is 13010746561999. The next prime is 13010746562029. The reversal of 13010746562001 is 10026564701031.

13010746562001 is a `hidden beast` number, since 1 + 30 + 107 + 465 + 62 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1621802250000 + 11388944312001 = 1273500^2 + 3374751^2 .

It is not a de Polignac number, because 13010746562001 - 21 = 13010746561999 is a prime.

It is a super-2 number, since 2×130107465620012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13010746562081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16777315 + ... + 17535671.

It is an arithmetic number, because the mean of its divisors is an integer number (804234488031).

Almost surely, 213010746562001 is an apocalyptic number.

It is an amenable number.

13010746562001 is a deficient number, since it is larger than the sum of its proper divisors (6290881150743).

13010746562001 is a wasteful number, since it uses less digits than its factorization.

13010746562001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809921 (or 809918 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13010746562001 in words is "thirteen trillion, ten billion, seven hundred forty-six million, five hundred sixty-two thousand, one".

Divisors: 1 3 9 37 111 333 51521 154563 463689 758357 1906277 2275071 5718831 6825213 17156493 28059209 84177627 252532881 39071310997 117213932991 351641798973 1445638506889 4336915520667 13010746562001