Search a number
-
+
13002310200101 = 232574027546233
BaseRepresentation
bin1011110100110101011000…
…0101001010101100100101
31201001000020100112212001012
42331031112011022230211
53201012212402400401
643353102344112005
72511246240104555
oct275152605125445
951030210485035
1013002310200101
114163281158282
12155bb27465605
13734160492221
1432d45ab8b165
151783473c08bb
hexbd35614ab25

13002310200101 has 16 divisors (see below), whose sum is σ = 13623827577984. Its totient is φ = 12385500340224.

The previous prime is 13002310200049. The next prime is 13002310200149. The reversal of 13002310200101 is 10100201320031.

13002310200101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13002310200101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002310200151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23530481 + ... + 24076713.

It is an arithmetic number, because the mean of its divisors is an integer number (851489223624).

Almost surely, 213002310200101 is an apocalyptic number.

It is an amenable number.

13002310200101 is a deficient number, since it is larger than the sum of its proper divisors (621517377883).

13002310200101 is a wasteful number, since it uses less digits than its factorization.

13002310200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550540.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13002310200101 its reverse (10100201320031), we get a palindrome (23102511520132).

The spelling of 13002310200101 in words is "thirteen trillion, two billion, three hundred ten million, two hundred thousand, one hundred one".

Divisors: 1 23 257 4027 5911 92621 546233 1034939 12563359 23803597 140381881 2199680291 3228783263 50592646693 565317834787 13002310200101