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10021233300 = 22352133836709
BaseRepresentation
bin10010101010100111…
…11110001010010100
3221212101201101201220
421111103332022110
5131010413431200
64334221450340
7503223035421
oct112523761224
927771641656
1010021233300
1142827a79a1
121b381109b0
13c39213060
146b0cccd48
153d9ba44a0
hex2554fe294

10021233300 has 144 divisors (see below), whose sum is σ = 31311329280. Its totient is φ = 2459957760.

The previous prime is 10021233241. The next prime is 10021233319. The reversal of 10021233300 is 333212001.

10021233300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10021233300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1490346 + ... + 1497054.

Almost surely, 210021233300 is an apocalyptic number.

10021233300 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 10021233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15655664640).

10021233300 is an abundant number, since it is smaller than the sum of its proper divisors (21290095980).

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

10021233300 is a wasteful number, since it uses less digits than its factorization.

10021233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7122 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10021233300 its reverse (333212001), we get a palindrome (10354445301).

The spelling of 10021233300 in words is "ten billion, twenty-one million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 383 390 650 766 780 975 1149 1300 1532 1915 1950 2298 3830 3900 4596 4979 5745 6709 7660 9575 9958 11490 13418 14937 19150 19916 20127 22980 24895 26836 28725 29874 33545 38300 40254 49790 57450 59748 67090 74685 80508 87217 99580 100635 114900 124475 134180 149370 167725 174434 201270 248950 261651 298740 335450 348868 373425 402540 436085 497900 503175 523302 670900 746850 872170 1006350 1046604 1308255 1493700 1744340 2012700 2180425 2569547 2616510 4360850 5139094 5233020 6541275 7708641 8721700 10278188 12847735 13082550 15417282 25695470 26165100 30834564 33404111 38543205 51390940 64238675 66808222 77086410 100212333 128477350 133616444 154172820 167020555 192716025 200424666 256954700 334041110 385432050 400849332 501061665 668082220 770864100 835102775 1002123330 1670205550 2004246660 2505308325 3340411100 5010616650 10021233300