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10013233300 = 225273353827
BaseRepresentation
bin10010101001101010…
…11101000010010100
3221211211122221210121
421110311131002110
5131001341431200
64333334201324
7503065036000
oct112465350224
927754587717
1010013233300
114279233424
121b354b3244
13c37671925
146adc09700
153d9123e1a
hex254d5d094

10013233300 has 144 divisors (see below), whose sum is σ = 25442121600. Its totient is φ = 3419243520.

The previous prime is 10013233249. The next prime is 10013233367. The reversal of 10013233300 is 333231001.

It is a super-2 number, since 2×100132333002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12107487 + ... + 12108313.

It is an arithmetic number, because the mean of its divisors is an integer number (176681400).

Almost surely, 210013233300 is an apocalyptic number.

10013233300 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 10013233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12721060800).

10013233300 is an abundant number, since it is smaller than the sum of its proper divisors (15428888300).

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

10013233300 is a wasteful number, since it uses less digits than its factorization.

10013233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 10013233300 its reverse (333231001), we get a palindrome (10346464301).

The spelling of 10013233300 in words is "ten billion, thirteen million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 353 490 686 700 706 827 980 1225 1372 1412 1654 1715 1765 2450 2471 3308 3430 3530 4135 4900 4942 5789 6860 7060 8270 8575 8825 9884 11578 12355 16540 17150 17297 17650 20675 23156 24710 28945 34300 34594 35300 40523 41350 49420 57890 61775 69188 81046 82700 86485 115780 121079 123550 144725 162092 172970 202615 242158 247100 283661 289450 291931 345940 405230 432425 484316 567322 578900 583862 605395 810460 864850 1013075 1134644 1167724 1210790 1418305 1459655 1729700 2026150 2043517 2421580 2836610 2919310 3026975 4052300 4087034 5673220 5838620 6053950 7091525 7298275 8174068 10217585 12107900 14183050 14304619 14596550 20435170 28366100 28609238 29193100 40870340 51087925 57218476 71523095 100132333 102175850 143046190 200264666 204351700 286092380 357615475 400529332 500661665 715230950 1001323330 1430461900 2002646660 2503308325 5006616650 10013233300