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21210110001220 = 22572531181345773
BaseRepresentation
bin1001101001010010111010…
…00100101000000001000100
32210002200000000220220001211
410310221131010220001010
510240001301130014340
6113035442351101204
74316244204225100
oct464513504500104
983080000826054
1021210110001220
116838180170738
1224667b2b11804
13bab1492c198a
14534809380900
1526bacc40c5ea
hex134a5d128044

21210110001220 has 144 divisors (see below), whose sum is σ = 52835730515568. Its totient is φ = 7128767493120.

The previous prime is 21210110001193. The next prime is 21210110001229. The reversal of 21210110001220 is 2210001101212.

It can be written as a sum of positive squares in 8 ways, for example, as 2979959777536 + 18230150223684 = 1726256^2 + 4269678^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21210110001220.

It is not an unprimeable number, because it can be changed into a prime (21210110001229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61168254 + ... + 61514026.

It is an arithmetic number, because the mean of its divisors is an integer number (366914795247).

Almost surely, 221210110001220 is an apocalyptic number.

21210110001220 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 21210110001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417865257784).

21210110001220 is an abundant number, since it is smaller than the sum of its proper divisors (31625620514348).

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

21210110001220 is a wasteful number, since it uses less digits than its factorization.

21210110001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347030 (or 347021 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21210110001220 its reverse (2210001101212), we get a palindrome (23420111102432).

The spelling of 21210110001220 in words is "twenty-one trillion, two hundred ten billion, one hundred ten million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1181 1484 1855 2362 2597 3710 4724 5194 5905 7420 8267 10388 11810 12985 16534 23620 25970 33068 41335 51940 57869 62593 82670 115738 125186 165340 231476 250372 289345 312965 345773 438151 578690 625930 691546 876302 1157380 1251860 1383092 1728865 1752604 2190755 2420411 3067057 3457730 4381510 4840822 6134114 6915460 8763020 9681644 12102055 12268228 15335285 16942877 18325969 24204110 30670570 33885754 36651938 48408220 61341140 67771508 73303876 84714385 91629845 128281783 169428770 183259690 256563566 338857540 366519380 408357913 513127132 641408915 816715826 897972481 1282817830 1633431652 1795944962 2041789565 2565635660 2858505391 3591889924 4083579130 4489862405 5717010782 8167158260 8979724810 11434021564 14292526955 17959449620 20009537737 21642969389 28585053910 40019075474 43285938778 57170107820 80038150948 86571877556 100047688685 108214846945 151500785723 200095377370 216429693890 303001571446 400190754740 432859387780 606003142892 757503928615 1060505500061 1515007857230 2121011000122 3030015714460 4242022000244 5302527500305 10605055000610 21210110001220