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2313130000 = 24542271019
BaseRepresentation
bin1000100111011111…
…1001000000010000
312222012120011211111
42021313321000100
514214130130000
61021310223104
7111215165146
oct21167710020
95865504744
102313130000
11a87779895
125467b4a94
132ab2c159c
1417d2c9596
15d8116cba
hex89df9010

2313130000 has 100 divisors (see below), whose sum is σ = 5630510160. Its totient is φ = 920272000.

The previous prime is 2313129989. The next prime is 2313130009. The reversal of 2313130000 is 313132.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (2313130009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2269491 + ... + 2270509.

Almost surely, 22313130000 is an apocalyptic number.

2313130000 is a gapful number since it is divisible by the number (20) 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 2313130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815255080).

2313130000 is an abundant number, since it is smaller than the sum of its proper divisors (3317380160).

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

2313130000 is a wasteful number, since it uses less digits than its factorization.

2313130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2313130000 is about 48095.0101361877. The cubic root of 2313130000 is about 1322.5131948612.

Adding to 2313130000 its reverse (313132), we get a palindrome (2313443132).

The spelling of 2313130000 in words is "two billion, three hundred thirteen million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 227 250 400 454 500 625 908 1000 1019 1135 1250 1816 2000 2038 2270 2500 3632 4076 4540 5000 5095 5675 8152 9080 10000 10190 11350 16304 18160 20380 22700 25475 28375 40760 45400 50950 56750 81520 90800 101900 113500 127375 141875 203800 227000 231313 254750 283750 407600 454000 462626 509500 567500 636875 925252 1019000 1135000 1156565 1273750 1850504 2038000 2270000 2313130 2547500 3701008 4626260 5095000 5782825 9252520 10190000 11565650 18505040 23131300 28914125 46262600 57828250 92525200 115656500 144570625 231313000 289141250 462626000 578282500 1156565000 2313130000