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20231023032 = 23321137967399
BaseRepresentation
bin10010110101110111…
…001110100110111000
31221012221020110021100
4102311313032212320
5312413120214112
613143301011400
71314225600303
oct226567164670
957187213240
1020231023032
118641981050
123b073b3b60
131ba550475c
14d9cc61b3a
157d61a22dc
hex4b5dce9b8

20231023032 has 96 divisors (see below), whose sum is σ = 59932080000. Its totient is φ = 6114346560.

The previous prime is 20231023027. The next prime is 20231023039. The reversal of 20231023032 is 23032013202.

It is a happy number.

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 = 20231022996 and 20231023014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231023039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266469 + ... + 333867.

It is an arithmetic number, because the mean of its divisors is an integer number (624292500).

Almost surely, 220231023032 is an apocalyptic number.

20231023032 is a gapful number since it is divisible by the number (22) 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 20231023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29966040000).

20231023032 is an abundant number, since it is smaller than the sum of its proper divisors (39701056968).

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

20231023032 is a wasteful number, since it uses less digits than its factorization.

20231023032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67801 (or 67794 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20231023032 its reverse (23032013202), we get a palindrome (43263036234).

The spelling of 20231023032 in words is "twenty billion, two hundred thirty-one million, twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 379 396 758 792 1137 1516 2274 3032 3411 4169 4548 6822 8338 9096 12507 13644 16676 25014 27288 33352 37521 50028 67399 75042 100056 134798 150084 202197 269596 300168 404394 539192 606591 741389 808788 1213182 1482778 1617576 2224167 2426364 2965556 4448334 4852728 5931112 6672501 8896668 13345002 17793336 25544221 26690004 51088442 53380008 76632663 102176884 153265326 204353768 229897989 280986431 306530652 459795978 561972862 613061304 842959293 919591956 1123945724 1685918586 1839183912 2247891448 2528877879 3371837172 5057755758 6743674344 10115511516 20231023032