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10021233100 = 22521745712899
BaseRepresentation
bin10010101010100111…
…11110000111001100
3221212101201101110111
421111103332013030
5131010413424400
64334221445404
7503223035014
oct112523760714
927771641414
1010021233100
1142827a782a
121b38110864
13c39212c38
146b0cccc44
153d9ba43ba
hex2554fe1cc

10021233100 has 72 divisors (see below), whose sum is σ = 23077429200. Its totient is φ = 3764152320.

The previous prime is 10021233097. The next prime is 10021233113. The reversal of 10021233100 is 133212001.

It is a super-2 number, since 2×100212331002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770451 + ... + 783349.

It is an arithmetic number, because the mean of its divisors is an integer number (320519850).

Almost surely, 210021233100 is an apocalyptic number.

10021233100 is a gapful number since it is divisible by the number (10) 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 10021233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11538714600).

10021233100 is an abundant number, since it is smaller than the sum of its proper divisors (13056196100).

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

10021233100 is a wasteful number, since it uses less digits than its factorization.

10021233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13387 (or 13380 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10021233100 its reverse (133212001), we get a palindrome (10154445101).

The spelling of 10021233100 in words is "ten billion, twenty-one million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 457 850 914 1700 1828 2285 4570 7769 9140 11425 12899 15538 22850 25798 31076 38845 45700 51596 64495 77690 128990 155380 194225 219283 257980 322475 388450 438566 644950 776900 877132 1096415 1289900 2192830 4385660 5482075 5894843 10964150 11789686 21928300 23579372 29474215 58948430 100212331 117896860 147371075 200424662 294742150 400849324 501061655 589484300 1002123310 2004246620 2505308275 5010616550 10021233100