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2313000100 = 2252431673221
BaseRepresentation
bin1000100111011101…
…1001010010100100
312222012022120122101
42021313121102210
514214112000400
61021303341444
7111214114345
oct21167312244
95865276571
102313000100
11a876a0234
12546751884
132ab277418
1417d2940cc
15d80dd56a
hex89dd94a4

2313000100 has 72 divisors (see below), whose sum is σ = 5168294208. Its totient is φ = 897993600.

The previous prime is 2313000089. The next prime is 2313000103. The reversal of 2313000100 is 10003132.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2313000103) 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, 716490 + ... + 719710.

It is an arithmetic number, because the mean of its divisors is an integer number (71781864).

Almost surely, 22313000100 is an apocalyptic number.

2313000100 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 2313000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584147104).

2313000100 is an abundant number, since it is smaller than the sum of its proper divisors (2855294108).

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

2313000100 is a wasteful number, since it uses less digits than its factorization.

2313000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2313000100 is about 48093.6596652823. The cubic root of 2313000100 is about 1322.4884379763.

Adding to 2313000100 its reverse (10003132), we get a palindrome (2323003232).

The spelling of 2313000100 in words is "two billion, three hundred thirteen million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 43 50 86 100 167 172 215 334 430 668 835 860 1075 1670 2150 3221 3340 4175 4300 6442 7181 8350 12884 14362 16105 16700 28724 32210 35905 64420 71810 80525 138503 143620 161050 179525 277006 322100 359050 537907 554012 692515 718100 1075814 1385030 2151628 2689535 2770060 3462575 5379070 6925150 10758140 13447675 13850300 23130001 26895350 46260002 53790700 92520004 115650005 231300010 462600020 578250025 1156500050 2313000100