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10212102110 = 2576110192347
BaseRepresentation
bin10011000001011000…
…00100111111011110
3222100200212112112002
421200230010333132
5131403244231420
64405200442302
7511031302310
oct114054047736
928320775462
1010212102110
114370513511
121b90019392
13c69921092
146cc3b57b0
153eb808075
hex260b04fde

10212102110 has 64 divisors (see below), whose sum is σ = 21382202880. Its totient is φ = 3439048320.

The previous prime is 10212102077. The next prime is 10212102127. The reversal of 10212102110 is 1120121201.

10212102110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10212102091 and 10212102100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4349957 + ... + 4352303.

It is an arithmetic number, because the mean of its divisors is an integer number (334096920).

Almost surely, 210212102110 is an apocalyptic number.

10212102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10212102110 is an abundant number, since it is smaller than the sum of its proper divisors (11170100770).

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

10212102110 is a wasteful number, since it uses less digits than its factorization.

10212102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10212102110 its reverse (1120121201), we get a palindrome (11332223311).

The spelling of 10212102110 in words is "ten billion, two hundred twelve million, one hundred two thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 61 70 122 305 427 610 854 1019 2038 2135 2347 4270 4694 5095 7133 10190 11735 14266 16429 23470 32858 35665 62159 71330 82145 124318 143167 164290 286334 310795 435113 621590 715835 870226 1002169 1431670 2004338 2175565 2391593 4351130 4783186 5010845 10021690 11957965 16741151 23915930 33482302 83705755 145887173 167411510 291774346 729435865 1021210211 1458871730 2042420422 5106051055 10212102110