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123130100021200 = 24521013047774753
BaseRepresentation
bin11011111111110001110101…
…110111110111011111010000
3121010222010022101012011022021
4123333301311313313133100
5112114330421101134300
61113513104223221224
734635566443316506
oct3377616567673720
9533863271164267
10123130100021200
1136262200515468
1211987531447814
13539217078172c
14225975882a676
15e37d6a8b8d1a
hex6ffc75df77d0

123130100021200 has 60 divisors (see below), whose sum is σ = 298748976936588. Its totient is φ = 48764396032000.

The previous prime is 123130100021177. The next prime is 123130100021231. The reversal of 123130100021200 is 2120001031321.

123130100021200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4226428765584 + 118903671255616 = 2055828^2 + 10904296^2 .

It is a super-2 number, since 2×1231301000212002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1523846977 + ... + 1523927776.

Almost surely, 2123130100021200 is an apocalyptic number.

123130100021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123130100021200 is an abundant number, since it is smaller than the sum of its proper divisors (175618876915388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123130100021200 is a wasteful number, since it uses less digits than its factorization.

123130100021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047774872 (or 3047774861 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 123130100021200 its reverse (2120001031321), we get a palindrome (125250101052521).

The spelling of 123130100021200 in words is "one hundred twenty-three trillion, one hundred thirty billion, one hundred million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 20200 40400 3047774753 6095549506 12191099012 15238873765 24382198024 30477747530 48764396048 60955495060 76194368825 121910990120 152388737650 243821980240 304777475300 307825250053 609554950600 615650500106 1219109901200 1231301000212 1539126250265 2462602000424 3078252500530 4925204000848 6156505001060 7695631251325 12313010002120 15391262502650 24626020004240 30782525005300 61565050010600 123130100021200