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131010304020101 = 1123853607065989
BaseRepresentation
bin11101110010011100110110…
…101000100000111010000101
3122011212110111100021011112222
4131302130312220200322011
5114132433100312120401
61142345145223222125
736411116315164442
oct3562346650407205
9564773440234488
10131010304020101
1138820181207a10
121283a8118a7945
1358142ac515a2c
14244cd0aca69c9
151022d2a722c1b
hex772736a20e85

131010304020101 has 16 divisors (see below), whose sum is σ = 149309094372480. Its totient is φ = 113788448790720.

The previous prime is 131010304020091. The next prime is 131010304020133. The reversal of 131010304020101 is 101020403010131.

It is a de Polignac number, because none of the positive numbers 2k-131010304020101 is a prime.

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 131010304020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010304026101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303317186 + ... + 303748803.

It is an arithmetic number, because the mean of its divisors is an integer number (9331818398280).

Almost surely, 2131010304020101 is an apocalyptic number.

131010304020101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131010304020101 is a deficient number, since it is larger than the sum of its proper divisors (18298790352379).

131010304020101 is a wasteful number, since it uses less digits than its factorization.

131010304020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607066876.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 131010304020101 its reverse (101020403010131), we get a palindrome (232030707030232).

The spelling of 131010304020101 in words is "one hundred thirty-one trillion, ten billion, three hundred four million, twenty thousand, one hundred one".

Divisors: 1 11 23 253 853 9383 19619 215809 607065989 6677725879 13962517747 153587695217 517827288617 5696100174787 11910027638191 131010304020101