Search a number
-
+
130013001103231 = 1911366191612193
BaseRepresentation
bin11101100011111100000010…
…101111110011011101111111
3122001100010021120212202120201
4131203330002233303131333
5114020113111240300411
61140303052000424331
736246062240232511
oct3543740257633577
9561303246782521
10130013001103231
1138476227766544
12126b94830180a7
135771233c5208c
14241693cb33bb1
151006e0ab673c1
hex763f02bf377f

130013001103231 has 16 divisors (see below), whose sum is σ = 138275781135840. Its totient is φ = 121895518187520.

The previous prime is 130013001103217. The next prime is 130013001103309. The reversal of 130013001103231 is 132301100310031.

It is a cyclic number.

It is not a de Polignac number, because 130013001103231 - 213 = 130013001095039 is a prime.

It is a super-2 number, since 2×1300130011032312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 130013001103199 and 130013001103208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013001103211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44386930 + ... + 47225263.

It is an arithmetic number, because the mean of its divisors is an integer number (8642236320990).

Almost surely, 2130013001103231 is an apocalyptic number.

130013001103231 is a deficient number, since it is larger than the sum of its proper divisors (8262780032609).

130013001103231 is a wasteful number, since it uses less digits than its factorization.

130013001103231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91612986.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 130013001103231 its reverse (132301100310031), we get a palindrome (262314101413262).

The spelling of 130013001103231 in words is "one hundred thirty trillion, thirteen billion, one million, one hundred three thousand, two hundred thirty-one".

Divisors: 1 19 113 661 2147 12559 74693 1419167 91612193 1740631667 10352177809 60555659573 196691378371 1150557531887 6842789531749 130013001103231