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10210211221220 = 22553731091210541
BaseRepresentation
bin1001010010010100000000…
…0000110100111011100100
31100011002100011201201111022
42110211000000310323210
52314241003033034340
633414301205030312
72102443360264463
oct224450000647344
940132304651438
1010210211221220
11328714306691a
12118a9830b5398
13590a84b4a81a
142742694369da
1512a8cea993b5
hex94940034ee4

10210211221220 has 96 divisors (see below), whose sum is σ = 22348445343840. Its totient is φ = 3915874160640.

The previous prime is 10210211221213. The next prime is 10210211221247. The reversal of 10210211221220 is 2212211201201.

It can be written as a sum of positive squares in 16 ways, for example, as 415952763136 + 9794258458084 = 644944^2 + 3129578^2 .

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, 7829150 + ... + 9039690.

It is an arithmetic number, because the mean of its divisors is an integer number (232796305665).

Almost surely, 210210211221220 is an apocalyptic number.

10210211221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210211221220 is an abundant number, since it is smaller than the sum of its proper divisors (12138234122620).

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

10210211221220 is a wasteful number, since it uses less digits than its factorization.

10210211221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210785 (or 1210783 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10210211221220 its reverse (2212211201201), we get a palindrome (12422422422421).

The spelling of 10210211221220 in words is "ten trillion, two hundred ten billion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 73 106 109 146 212 218 265 292 365 436 530 545 730 1060 1090 1460 2180 3869 5777 7738 7957 11554 15476 15914 19345 23108 28885 31828 38690 39785 57770 77380 79570 115540 159140 421721 843442 1210541 1686884 2108605 2421082 4217210 4842164 6052705 8434420 12105410 24210820 64158673 88369493 128317346 131948969 176738986 256634692 263897938 320793365 353477972 441847465 527795876 641586730 659744845 883694930 1283173460 1319489690 1767389860 2638979380 4683583129 6993295357 9367166258 9632274737 13986590714 18734332516 19264549474 23417915645 27973181428 34966476785 38529098948 46835831290 48161373685 69932953570 93671662580 96322747370 139865907140 192645494740 510510561061 1021021122122 2042042244244 2552552805305 5105105610610 10210211221220