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23113120320 = 263258025389
BaseRepresentation
bin10101100001101001…
…100011101001000000
32012122210102011111100
4111201221203221000
5334313424322240
614341254214400
71445523165303
oct254151435100
965583364440
1023113120320
119890832434
124590654400
132244647874
141193936b3a
15904206e30
hex561a63a40

23113120320 has 84 divisors (see below), whose sum is σ = 79499513340. Its totient is φ = 6163497984.

The previous prime is 23113120319. The next prime is 23113120333. The reversal of 23113120320 is 2302131132.

23113120320 is a `hidden beast` number, since 2 + 31 + 1 + 312 + 0 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5197833216 + 17915287104 = 72096^2 + 133848^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23113120293 and 23113120302.

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, 4009815 + ... + 4015574.

Almost surely, 223113120320 is an apocalyptic number.

23113120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23113120320 is an abundant number, since it is smaller than the sum of its proper divisors (56386393020).

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

23113120320 is a wasteful number, since it uses less digits than its factorization.

23113120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025412 (or 8025399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23113120320 its reverse (2302131132), we get a palindrome (25415251452).

The spelling of 23113120320 in words is "twenty-three billion, one hundred thirteen million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 8025389 16050778 24076167 32101556 40126945 48152334 64203112 72228501 80253890 96304668 120380835 128406224 144457002 160507780 192609336 240761670 256812448 288914004 321015560 361142505 385218672 481523340 513624896 577828008 642031120 722285010 770437344 963046680 1155656016 1284062240 1444570020 1540874688 1926093360 2311312032 2568124480 2889140040 3852186720 4622624064 5778280080 7704373440 11556560160 23113120320