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2331013000 = 23534015813
BaseRepresentation
bin1000101011110000…
…0110111110001000
320000110012201200211
42022330012332020
514233214404000
61023145410504
7111523166161
oct21274067610
96013181624
102331013000
11a96883628
12550799a34
132b1c13244
14181822768
15d999a7ba
hex8af06f88

2331013000 has 64 divisors (see below), whose sum is σ = 5469113520. Its totient is φ = 929920000.

The previous prime is 2331012923. The next prime is 2331013007. The reversal of 2331013000 is 3101332.

It can be written as a sum of positive squares in 8 ways, for example, as 792647716 + 1538365284 = 28154^2 + 39222^2 .

It is not an unprimeable number, because it can be changed into a prime (2331013007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398094 + ... + 403906.

Almost surely, 22331013000 is an apocalyptic number.

2331013000 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 2331013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734556760).

2331013000 is an abundant number, since it is smaller than the sum of its proper divisors (3138100520).

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

2331013000 is a wasteful number, since it uses less digits than its factorization.

2331013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235 (or 6221 counting only the distinct ones).

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

The square root of 2331013000 is about 48280.5654482215. The cubic root of 2331013000 is about 1325.9126025750.

Adding to 2331013000 its reverse (3101332), we get a palindrome (2334114332).

The spelling of 2331013000 in words is "two billion, three hundred thirty-one million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 401 500 802 1000 1604 2005 3208 4010 5813 8020 10025 11626 16040 20050 23252 29065 40100 46504 50125 58130 80200 100250 116260 145325 200500 232520 290650 401000 581300 726625 1162600 1453250 2331013 2906500 4662026 5813000 9324052 11655065 18648104 23310130 46620260 58275325 93240520 116550650 233101300 291376625 466202600 582753250 1165506500 2331013000