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210012221003220 = 223253731533366517
BaseRepresentation
bin101111110000000101000111…
…110101001101010111010100
31000112120222020202211121011200
4233300011013311031113110
5210011320012034100340
62022354141001032500
762143611420541116
oct5760050765152724
91015528222747150
10210012221003220
1160a09756826a29
121b679937a85730
1390250b52ab14c
1439c0907c5d3b6
151942d76d5a330
hexbf0147d4d5d4

210012221003220 has 72 divisors (see below), whose sum is σ = 654254288515464. Its totient is φ = 54489657339648.

The previous prime is 210012221003213. The next prime is 210012221003243. The reversal of 210012221003220 is 22300122210012.

210012221003220 is a `hidden beast` number, since 2 + 10 + 0 + 122 + 210 + 0 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20630091025296 + 189382129977924 = 4542036^2 + 13761618^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210012221003193 and 210012221003202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15766676599 + ... + 15766689918.

Almost surely, 2210012221003220 is an apocalyptic number.

210012221003220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210012221003220 is an abundant number, since it is smaller than the sum of its proper divisors (444242067512244).

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

210012221003220 is a wasteful number, since it uses less digits than its factorization.

210012221003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31533366569 (or 31533366564 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 210012221003220 its reverse (22300122210012), we get a palindrome (232312343213232).

The spelling of 210012221003220 in words is "two hundred ten trillion, twelve billion, two hundred twenty-one million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 31533366517 63066733034 94600099551 126133466068 157666832585 189200199102 283800298653 315333665170 378400398204 473000497755 567600597306 630667330340 946000995510 1135201194612 1166734561129 1419001493265 1892001991020 2333469122258 2838002986530 3500203683387 4666938244516 5676005973060 5833672805645 7000407366774 10500611050161 11667345611290 14000814733548 17501018416935 21001222100322 23334691222580 35002036833870 42002444200644 52503055250805 70004073667740 105006110501610 210012221003220