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210202111212120 = 233255311016882139
BaseRepresentation
bin101111110010110101111110…
…001010110111101001011000
31000120021010101112202200110200
4233302311332022313221120
5210022422410432241440
62023021303343142200
762163413161641366
oct5762657612675130
91016233345680420
10210202111212120
1160a8223a904475
121b6aa6b18a4960
139039c87c4b8c1
1439c9b9d39c636
151947c8c985c30
hexbf2d7e2b7a58

210202111212120 has 96 divisors (see below), whose sum is σ = 696046613605200. Its totient is φ = 54996275632896.

The previous prime is 210202111211977. The next prime is 210202111212131. The reversal of 210202111212120 is 21212111202012.

210202111212120 is a `hidden beast` number, since 21 + 0 + 202 + 111 + 212 + 120 = 666.

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 = 210202111212093 and 210202111212102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5508421990 + ... + 5508460149.

Almost surely, 2210202111212120 is an apocalyptic number.

210202111212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210202111212120 is an abundant number, since it is smaller than the sum of its proper divisors (485844502393080).

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

210202111212120 is a wasteful number, since it uses less digits than its factorization.

210202111212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11016882209 (or 11016882202 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210202111212120 its reverse (21212111202012), we get a palindrome (231414222414132).

The spelling of 210202111212120 in words is "two hundred ten trillion, two hundred two billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 11016882139 22033764278 33050646417 44067528556 55084410695 66101292834 88135057112 99151939251 110168821390 132202585668 165253232085 198303878502 220337642780 264405171336 330506464170 396607757004 440675285560 495759696255 583894753367 661012928340 793215514008 991519392510 1167789506734 1322025856680 1751684260101 1983038785020 2335579013468 2919473766835 3503368520202 3966077570040 4671158026936 5255052780303 5838947533670 7006737040404 8758421300505 10510105560606 11677895067340 14013474080808 17516842601010 21020211121212 23355790134680 26275263901515 35033685202020 42040422242424 52550527803030 70067370404040 105101055606060 210202111212120