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10210001220 = 22325415932333
BaseRepresentation
bin10011000001001000…
…00100000101000100
3222100112220210122100
421200210010011010
5131402230014340
64405043432100
7511004402256
oct114044040504
928315823570
1010210001220
11436a309041
121b8b385630
13c69366a53
146cbdc9cd6
153eb540830
hex260904144

10210001220 has 144 divisors (see below), whose sum is σ = 31792833072. Its totient is φ = 2650644480.

The previous prime is 10210001201. The next prime is 10210001237. The reversal of 10210001220 is 2210001201.

It can be written as a sum of positive squares in 8 ways, for example, as 1371369024 + 8838632196 = 37032^2 + 94014^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4375174 + ... + 4377506.

It is an arithmetic number, because the mean of its divisors is an integer number (220783563).

Almost surely, 210210001220 is an apocalyptic number.

10210001220 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 10210001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896416536).

10210001220 is an abundant number, since it is smaller than the sum of its proper divisors (21582831852).

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

10210001220 is a wasteful number, since it uses less digits than its factorization.

10210001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10210001220 its reverse (2210001201), we get a palindrome (12420002421).

The spelling of 10210001220 in words is "ten billion, two hundred ten million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 593 615 738 820 1186 1230 1476 1779 1845 2333 2372 2460 2965 3558 3690 4666 5337 5930 6999 7116 7380 8895 9332 10674 11665 11860 13998 17790 20997 21348 23330 24313 26685 27996 34995 35580 41994 46660 48626 53370 69990 72939 83988 95653 97252 104985 106740 121565 139980 145878 191306 209970 218817 243130 286959 291756 364695 382612 419940 437634 478265 486260 573918 729390 860877 875268 956530 1094085 1147836 1383469 1434795 1458780 1721754 1913060 2188170 2766938 2869590 3443508 4150407 4304385 4376340 5533876 5739180 6917345 8300814 8608770 12451221 13834690 16601628 17217540 20752035 24902442 27669380 41504070 49804884 56722229 62256105 83008140 113444458 124512210 170166687 226888916 249024420 283611145 340333374 510500061 567222290 680666748 850833435 1021000122 1134444580 1701666870 2042000244 2552500305 3403333740 5105000610 10210001220