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21210122120 = 2351161839521
BaseRepresentation
bin10011110000001110…
…001100011110001000
32000202011120211201112
4103300032030132020
5321414242401440
613424354305452
71350415030505
oct236016143610
960664524645
1021210122120
118aa4619750
12413b288288
132000304425
141052ccc4ac
15842105965
hex4f038c788

21210122120 has 128 divisors (see below), whose sum is σ = 53557822080. Its totient is φ = 7494144000.

The previous prime is 21210122113. The next prime is 21210122177. The reversal of 21210122120 is 2122101212.

It is a junction number, because it is equal to n+sod(n) for n = 21210122095 and 21210122104.

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, 2222960 + ... + 2232480.

It is an arithmetic number, because the mean of its divisors is an integer number (418420485).

Almost surely, 221210122120 is an apocalyptic number.

21210122120 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 21210122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26778911040).

21210122120 is an abundant number, since it is smaller than the sum of its proper divisors (32347699960).

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

21210122120 is a wasteful number, since it uses less digits than its factorization.

21210122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9687 (or 9683 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21210122120 its reverse (2122101212), we get a palindrome (23332223332).

The spelling of 21210122120 in words is "twenty-one billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 83 88 110 122 166 220 244 305 332 415 440 488 610 664 671 830 913 1220 1342 1660 1826 2440 2684 3320 3355 3652 4565 5063 5368 6710 7304 9130 9521 10126 13420 18260 19042 20252 25315 26840 36520 38084 40504 47605 50630 55693 76168 95210 101260 104731 111386 190420 202520 209462 222772 278465 380840 418924 445544 523655 556930 580781 790243 837848 1047310 1113860 1161562 1580486 2094620 2227720 2323124 2903905 3160972 3951215 4189240 4646248 5807810 6321944 6388591 7902430 8692673 11615620 12777182 15804860 17385346 23231240 25554364 31609720 31942955 34770692 43463365 48204823 51108728 63885910 69541384 86926730 96409646 127771820 173853460 192819292 241024115 255543640 347706920 385638584 482048230 530253053 964096460 1060506106 1928192920 2121012212 2651265265 4242024424 5302530530 10605061060 21210122120