Search a number
-
+
1012300131001 = 295925129391
BaseRepresentation
bin11101011101100011100…
…10100010101010111001
310120202220221021211011111
432232301302202222321
5113041142313143001
62053013321000321
7133064512066165
oct16566162425271
93522827254144
101012300131001
11360350040415
121442353230a1
13745c8675973
1436dd1c6dca5
151b4eb51e851
hexebb1ca2ab9

1012300131001 has 24 divisors (see below), whose sum is σ = 1069329916800. Its totient is φ = 956897340000.

The previous prime is 1012300130983. The next prime is 1012300131013. The reversal of 1012300131001 is 1001310032101.

It is not a de Polignac number, because 1012300131001 - 217 = 1012299999929 is a prime.

It is a super-2 number, since 2×10123001310012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012300131701) 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, 107790016 + ... + 107799406.

It is an arithmetic number, because the mean of its divisors is an integer number (44555413200).

Almost surely, 21012300131001 is an apocalyptic number.

It is an amenable number.

1012300131001 is a deficient number, since it is larger than the sum of its proper divisors (57029785799).

1012300131001 is an frugal number, since it uses more digits than its factorization.

1012300131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9981 (or 9730 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1012300131001 its reverse (1001310032101), we get a palindrome (2013610163102).

The spelling of 1012300131001 in words is "one trillion, twelve billion, three hundred million, one hundred thirty-one thousand, one".

Divisors: 1 29 59 251 1711 7279 9391 14809 63001 272339 429461 554069 1827029 2357141 3717059 16068001 68357089 107794711 139071319 591642391 4033068251 17157629339 34906901069 1012300131001