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10212112300 = 22521325931019
BaseRepresentation
bin10011000001011000…
…00111011110101100
3222100200220001111111
421200230013132230
5131403300043200
64405201001404
7511031344105
oct114054073654
928320801444
1010212112300
114370520135
121b90023264
13c69925900
146cc3b93ac
153eb80b0ba
hex260b077ac

10212112300 has 108 divisors (see below), whose sum is σ = 24060100680. Its totient is φ = 3760573440.

The previous prime is 10212112289. The next prime is 10212112303. The reversal of 10212112300 is 321121201.

It is a super-2 number, since 2×102121123002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10212112303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10021191 + ... + 10022209.

It is an arithmetic number, because the mean of its divisors is an integer number (222778710).

Almost surely, 210212112300 is an apocalyptic number.

10212112300 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 10212112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030050340).

10212112300 is an abundant number, since it is smaller than the sum of its proper divisors (13847988380).

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

10212112300 is a wasteful number, since it uses less digits than its factorization.

10212112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10212112300 its reverse (321121201), we get a palindrome (10533233501).

The spelling of 10212112300 in words is "ten billion, two hundred twelve million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 593 650 676 845 1019 1186 1300 1690 2038 2372 2965 3380 4076 4225 5095 5930 7709 8450 10190 11860 13247 14825 15418 16900 20380 25475 26494 29650 30836 38545 50950 52988 59300 66235 77090 100217 101900 132470 154180 172211 192725 200434 264940 331175 344422 385450 400868 501085 604267 662350 688844 770900 861055 1002170 1208534 1324700 1722110 2004340 2417068 2505425 3021335 3444220 4305275 5010850 6042670 7855471 8610550 10021700 12085340 15106675 15710942 17221100 30213350 31421884 39277355 60426700 78554710 102121123 157109420 196386775 204242246 392773550 408484492 510605615 785547100 1021211230 2042422460 2553028075 5106056150 10212112300