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21212010120 = 23357102124733
BaseRepresentation
bin10011110000010101…
…011001011010001000
32000202022010202120110
4103300111121122020
5321420233310440
613424502554320
71350440053050
oct236025313210
960668122513
1021212010120
118aa5699184
12413ba389a0
1320008158a2
141053260560
1584237a080
hex4f0559688

21212010120 has 128 divisors (see below), whose sum is σ = 72801066240. Its totient is φ = 4843514880.

The previous prime is 21212010119. The next prime is 21212010133. The reversal of 21212010120 is 2101021212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21212010096 and 21212010105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845274 + ... + 870006.

It is an arithmetic number, because the mean of its divisors is an integer number (568758330).

Almost surely, 221212010120 is an apocalyptic number.

21212010120 is a gapful number since it is divisible by the number (20) 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 21212010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36400533120).

21212010120 is an abundant number, since it is smaller than the sum of its proper divisors (51589056120).

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

21212010120 is a wasteful number, since it uses less digits than its factorization.

21212010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25775 (or 25771 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21212010120 its reverse (2101021212), we get a palindrome (23313031332).

The spelling of 21212010120 in words is "twenty-one billion, two hundred twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1021 2042 3063 4084 5105 6126 7147 8168 10210 12252 14294 15315 20420 21441 24504 24733 28588 30630 35735 40840 42882 49466 57176 61260 71470 74199 85764 98932 107205 122520 123665 142940 148398 171528 173131 197864 214410 247330 285880 296796 346262 370995 428820 494660 519393 593592 692524 741990 857640 865655 989320 1038786 1385048 1483980 1731310 2077572 2596965 2967960 3462620 4155144 5193930 6925240 10387860 20775720 25252393 50504786 75757179 101009572 126261965 151514358 176766751 202019144 252523930 303028716 353533502 378785895 505047860 530300253 606057432 707067004 757571790 883833755 1010095720 1060600506 1414134008 1515143580 1767667510 2121201012 2651501265 3030287160 3535335020 4242402024 5303002530 7070670040 10606005060 21212010120