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2313000320 = 27523315511
BaseRepresentation
bin1000100111011101…
…1001010110000000
312222012022120221112
42021313121112000
514214112002240
61021303342452
7111214115111
oct21167312600
95865276845
102313000320
11a876a0414
12546751a28
132ab277557
1417d294208
15d80dd665
hex89dd9580

2313000320 has 64 divisors (see below), whose sum is σ = 5553606240. Its totient is φ = 921169920.

The previous prime is 2313000317. The next prime is 2313000323. The reversal of 2313000320 is 230003132.

It is an interprime number because it is at equal distance from previous prime (2313000317) and next prime (2313000323).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2313000295 and 2313000304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313000323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141365 + ... + 156875.

Almost surely, 22313000320 is an apocalyptic number.

2313000320 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 2313000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776803120).

2313000320 is an abundant number, since it is smaller than the sum of its proper divisors (3240605920).

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

2313000320 is a wasteful number, since it uses less digits than its factorization.

2313000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15763 (or 15751 counting only the distinct ones).

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

The square root of 2313000320 is about 48093.6619524860. The cubic root of 2313000320 is about 1322.4884799056.

Adding to 2313000320 its reverse (230003132), we get a palindrome (2543003452).

The spelling of 2313000320 in words is "two billion, three hundred thirteen million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 233 320 466 640 932 1165 1864 2330 3728 4660 7456 9320 14912 15511 18640 29824 31022 37280 62044 74560 77555 124088 149120 155110 248176 310220 496352 620440 992704 1240880 1985408 2481760 3614063 4963520 7228126 9927040 14456252 18070315 28912504 36140630 57825008 72281260 115650016 144562520 231300032 289125040 462600064 578250080 1156500160 2313000320