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23002313000 = 2353187312281
BaseRepresentation
bin10101011011000010…
…110111000100101000
32012101001220120102112
4111123002313010220
5334102043004000
614322255221452
71443006302012
oct253302670450
965331816375
1023002313000
11983422a237
12455b517888
1322276bbbc4
141182d311b2
158e961a235
hex55b0b7128

23002313000 has 64 divisors (see below), whose sum is σ = 53858535120. Its totient is φ = 9195264000.

The previous prime is 23002312897. The next prime is 23002313021. The reversal of 23002313000 is 31320032.

It can be written as a sum of positive squares in 8 ways, for example, as 147525316 + 22854787684 = 12146^2 + 151178^2 .

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, 1866860 + ... + 1879140.

Almost surely, 223002313000 is an apocalyptic number.

23002313000 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 23002313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26929267560).

23002313000 is an abundant number, since it is smaller than the sum of its proper divisors (30856222120).

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

23002313000 is a wasteful number, since it uses less digits than its factorization.

23002313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14175 (or 14161 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 23002313000 its reverse (31320032), we get a palindrome (23033633032).

The spelling of 23002313000 in words is "twenty-three billion, two million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1873 3746 7492 9365 12281 14984 18730 24562 37460 46825 49124 61405 74920 93650 98248 122810 187300 234125 245620 307025 374600 468250 491240 614050 936500 1228100 1535125 1873000 2456200 3070250 6140500 12281000 23002313 46004626 92009252 115011565 184018504 230023130 460046260 575057825 920092520 1150115650 2300231300 2875289125 4600462600 5750578250 11501156500 23002313000