Search a number
-
+
2313000120 = 233599719333
BaseRepresentation
bin1000100111011101…
…1001010010111000
312222012022120200010
42021313121102320
514214112000440
61021303341520
7111214114404
oct21167312270
95865276603
102313000120
11a876a0252
125467518a0
132ab277432
1417d294104
15d80dd580
hex89dd94b8

2313000120 has 64 divisors (see below), whose sum is σ = 6946319520. Its totient is φ = 616149504.

The previous prime is 2313000119. The next prime is 2313000133. The reversal of 2313000120 is 210003132.

It is a happy number.

2313000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2313000096 and 2313000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109974 + ... + 129306.

Almost surely, 22313000120 is an apocalyptic number.

2313000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313000120 is an abundant number, since it is smaller than the sum of its proper divisors (4633319400).

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

2313000120 is a wasteful number, since it uses less digits than its factorization.

2313000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20344 (or 20340 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2313000120 is about 48093.6598732099. The cubic root of 2313000120 is about 1322.4884417880.

Adding to 2313000120 its reverse (210003132), we get a palindrome (2523003252).

The spelling of 2313000120 in words is "two billion, three hundred thirteen million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 997 1994 2991 3988 4985 5982 7976 9970 11964 14955 19333 19940 23928 29910 38666 39880 57999 59820 77332 96665 115998 119640 154664 193330 231996 289995 386660 463992 579990 773320 1159980 2319960 19275001 38550002 57825003 77100004 96375005 115650006 154200008 192750010 231300012 289125015 385500020 462600024 578250030 771000040 1156500060 2313000120