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10021300112 = 2419711373389
BaseRepresentation
bin10010101010101000…
…01110011110010000
3221212101211210101102
421111110032132100
5131010423100422
64334223123532
7503223434255
oct112524163620
927771753342
1010021300112
11428284310a
121b381435a8
13c392375a5
146b0d0942c
153d9bb9192
hex25550e790

10021300112 has 80 divisors (see below), whose sum is σ = 20883484800. Its totient is φ = 4644541440.

The previous prime is 10021300111. The next prime is 10021300127. The reversal of 10021300112 is 21100312001.

It is a junction number, because it is equal to n+sod(n) for n = 10021300093 and 10021300102.

It is not an unprimeable number, because it can be changed into a prime (10021300111) 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, 2955314 + ... + 2958702.

It is an arithmetic number, because the mean of its divisors is an integer number (261043560).

Almost surely, 210021300112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10441742400).

10021300112 is an abundant number, since it is smaller than the sum of its proper divisors (10862184688).

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

10021300112 is a wasteful number, since it uses less digits than its factorization.

10021300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10021300112 its reverse (21100312001), we get a palindrome (31121612113).

The spelling of 10021300112 in words is "ten billion, twenty-one million, three hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 71 76 137 142 152 274 284 304 548 568 1096 1136 1349 2192 2603 2698 3389 5206 5396 6778 9727 10412 10792 13556 19454 20824 21584 27112 38908 41648 54224 64391 77816 128782 155632 184813 240619 257564 369626 464293 481238 515128 739252 928586 962476 1030256 1478504 1857172 1924952 2957008 3714344 3849904 4571761 7428688 8821567 9143522 17643134 18287044 32964803 35286268 36574088 65929606 70572536 73148176 131859212 141145072 263718424 527436848 626331257 1252662514 2505325028 5010650056 10021300112