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210122000010 = 232513745124103
BaseRepresentation
bin1100001110110000111…
…1110100011010001010
3202002100202121120011200
43003230033310122022
511420312213000020
6240310111405030
721116006350056
oct3035417643212
9662322546150
10210122000010
118112643366a
1234881523776
1316a783839b0
14a254520c66
1556ebdd0590
hex30ec3f468a

210122000010 has 96 divisors (see below), whose sum is σ = 588444974208. Its totient is φ = 51713251200.

The previous prime is 210121999993. The next prime is 210122000041. The reversal of 210122000010 is 10000221012.

210122000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 210121999956 and 210122000001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8705619 + ... + 8729721.

It is an arithmetic number, because the mean of its divisors is an integer number (6129635148).

Almost surely, 2210122000010 is an apocalyptic number.

210122000010 is an abundant number, since it is smaller than the sum of its proper divisors (378322974198).

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

210122000010 is a wasteful number, since it uses less digits than its factorization.

210122000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31580 (or 31577 counting only the distinct ones).

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

Adding to 210122000010 its reverse (10000221012), we get a palindrome (220122221022).

The spelling of 210122000010 in words is "two hundred ten billion, one hundred twenty-two million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 7451 14902 22353 24103 37255 44706 48206 67059 72309 74510 96863 111765 120515 134118 144618 193726 216927 223530 241030 290589 313339 335295 361545 433854 484315 581178 626678 670590 723090 871767 940017 968630 1084635 1452945 1566695 1743534 1880034 2169270 2820051 2905890 3133390 4358835 4700085 5640102 8717670 9400170 14100255 28200510 179591453 359182906 538774359 897957265 1077548718 1616323077 1795914530 2334688889 2693871795 3232646154 4669377778 5387743590 7004066667 8081615385 11673444445 14008133334 16163230770 21012200001 23346888890 35020333335 42024400002 70040666670 105061000005 210122000010