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2313042100 = 2252171360613
BaseRepresentation
bin1000100111011110…
…0011100010110100
312222012101201020221
42021313203202310
514214114321400
61021304304124
7111214350655
oct21167434264
95865351227
102313042100
11a87719846
12546772044
132ab290585
1417d2a552c
15d80eac1a
hex89de38b4

2313042100 has 36 divisors (see below), whose sum is σ = 5314558284. Its totient is φ = 870791680.

The previous prime is 2313042079. The next prime is 2313042113. The reversal of 2313042100 is 12403132.

It is a happy number.

2313042100 is digitally balanced in base 2, 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 286421776 + 2026620324 = 16924^2 + 45018^2 .

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, 678607 + ... + 682006.

It is an arithmetic number, because the mean of its divisors is an integer number (147626619).

Almost surely, 22313042100 is an apocalyptic number.

2313042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313042100 is an abundant number, since it is smaller than the sum of its proper divisors (3001516184).

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

2313042100 is a wasteful number, since it uses less digits than its factorization.

2313042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360644 (or 1360637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2313042100 is about 48094.0963112938. The cubic root of 2313042100 is about 1322.4964426132.

Adding to 2313042100 its reverse (12403132), we get a palindrome (2325445232).

The spelling of 2313042100 in words is "two billion, three hundred thirteen million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1360613 2721226 5442452 6803065 13606130 23130421 27212260 34015325 46260842 68030650 92521684 115652105 136061300 231304210 462608420 578260525 1156521050 2313042100