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10201312212 = 2237134724229
BaseRepresentation
bin10011000000000101…
…11010101111010100
3222022221120100120020
421200002322233110
5131343013442322
64404133305140
7510540503010
oct114002725724
928287510506
1010201312212
114365413943
121b884951b0
13c67613b20
146caba7540
153ea8c605c
hex2600babd4

10201312212 has 144 divisors (see below), whose sum is σ = 29939736960. Its totient is φ = 2632589568.

The previous prime is 10201312201. The next prime is 10201312237. The reversal of 10201312212 is 21221310201.

It is a junction number, because it is equal to n+sod(n) for n = 10201312191 and 10201312200.

It is a congruent number.

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, 2410114 + ... + 2414342.

It is an arithmetic number, because the mean of its divisors is an integer number (207914840).

Almost surely, 210201312212 is an apocalyptic number.

10201312212 is a gapful number since it is divisible by the number (12) 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 10201312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14969868480).

10201312212 is an abundant number, since it is smaller than the sum of its proper divisors (19738424748).

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

10201312212 is a wasteful number, since it uses less digits than its factorization.

10201312212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10201312212 its reverse (21221310201), we get a palindrome (31422622413).

The spelling of 10201312212 in words is "ten billion, two hundred one million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 47 52 78 84 91 94 141 156 182 188 273 282 329 364 546 564 611 658 987 1092 1222 1316 1833 1974 2209 2444 3666 3948 4229 4277 4418 6627 7332 8458 8554 8836 12687 12831 13254 15463 16916 17108 25374 25662 26508 28717 29603 30926 46389 50748 51324 54977 57434 59206 61852 86151 88809 92778 109954 114868 118412 164931 172302 177618 185556 198763 201019 219908 329862 344604 355236 384839 397526 402038 596289 603057 659724 769678 795052 804076 1154517 1192578 1206114 1391341 1539356 2309034 2385156 2412228 2583919 2782682 4174023 4618068 5167838 5565364 7751757 8348046 9341861 10335676 15503514 16696092 18087433 18683722 28025583 31007028 36174866 37367444 54262299 56051166 65393027 72349732 108524598 112102332 121444193 130786054 196179081 217049196 242888386 261572108 364332579 392358162 485776772 728665158 784716324 850109351 1457330316 1700218702 2550328053 3400437404 5100656106 10201312212