Search a number
-
+
123020020000300 = 225210985913138813
BaseRepresentation
bin11011111110001011010100…
…100101111010011000101100
3121010120121011201012200220011
4123332023110211322120230
5112111030000110002200
61113350341134303004
734624621530505123
oct3376132445723054
9533517151180804
10123020020000300
113621a55218a485
121196a12b957a64
135384979817aa7
1422542b4b76aba
15e350767665ba
hex6fe2d497a62c

123020020000300 has 72 divisors (see below), whose sum is σ = 269716201554800. Its totient is φ = 48699795006720.

The previous prime is 123020020000261. The next prime is 123020020000349. The reversal of 123020020000300 is 3000020020321.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2793694 + ... + 15932506.

Almost surely, 2123020020000300 is an apocalyptic number.

123020020000300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123020020000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134858100777400).

123020020000300 is an abundant number, since it is smaller than the sum of its proper divisors (146696181554500).

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

123020020000300 is a wasteful number, since it uses less digits than its factorization.

123020020000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13139795 (or 13139788 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 123020020000300 its reverse (3000020020321), we get a palindrome (126020040020621).

The spelling of 123020020000300 in words is "one hundred twenty-three trillion, twenty billion, twenty million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 859 1090 1718 2180 2725 3436 4295 5450 8590 10900 17180 21475 42950 85900 93631 187262 374524 468155 936310 1872620 2340775 4681550 9363100 13138813 26277626 52555252 65694065 131388130 262776260 328470325 656940650 1313881300 1432130617 2864261234 5728522468 7160653085 11286240367 14321306170 22572480734 28642612340 35803265425 45144961468 56431201835 71606530850 112862403670 143213061700 225724807340 282156009175 564312018350 1128624036700 1230200200003 2460400400006 4920800800012 6151001000015 12302002000030 24604004000060 30755005000075 61510010000150 123020020000300