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23121331632 = 243377645943
BaseRepresentation
bin10101100010001000…
…111000010110110000
32012200100212100022000
4111202020320112300
5334323030103012
614342150214000
71445653035060
oct254210702660
965610770260
1023121331632
119895430743
124593354300
132246261229
141194a733a0
15904cc9ddc
hex5622385b0

23121331632 has 80 divisors (see below), whose sum is σ = 75847764480. Its totient is φ = 6606093888.

The previous prime is 23121331631. The next prime is 23121331633. The reversal of 23121331632 is 23613312132.

23121331632 is a `hidden beast` number, since 2 + 3 + 1 + 21 + 3 + 3 + 1 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (23121331631) and next prime (23121331633).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23121331596 and 23121331605.

It is not an unprimeable number, because it can be changed into a prime (23121331631) 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, 3819948 + ... + 3825995.

It is an arithmetic number, because the mean of its divisors is an integer number (948097056).

Almost surely, 223121331632 is an apocalyptic number.

It is an amenable number.

23121331632 is an abundant number, since it is smaller than the sum of its proper divisors (52726432848).

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

23121331632 is a wasteful number, since it uses less digits than its factorization.

23121331632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7645967 (or 7645955 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 23121331632 its reverse (23613312132), we get a palindrome (46734643764).

The spelling of 23121331632 in words is "twenty-three billion, one hundred twenty-one million, three hundred thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 7645943 15291886 22937829 30583772 45875658 53521601 61167544 68813487 91751316 107043202 122335088 137626974 160564803 183502632 206440461 214086404 275253948 321129606 367005264 412880922 428172808 481694409 550507896 642259212 825761844 856345616 963388818 1101015792 1284518424 1445083227 1651523688 1926777636 2569036848 2890166454 3303047376 3853555272 5780332908 7707110544 11560665816 23121331632