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12102101022 = 23111571995869
BaseRepresentation
bin10110100010101011…
…10110100000011110
31011020102020102121210
423101111312200132
5144241114213042
65320514005250
7605621106234
oct132125664036
934212212553
1012102101022
115150358690
122418b76826
1311ab36272b
1482b3d8954
154ac6dca9c
hex2d157681e

12102101022 has 64 divisors (see below), whose sum is σ = 26710848000. Its totient is φ = 3625015680.

The previous prime is 12102101021. The next prime is 12102101047. The reversal of 12102101022 is 22010120121.

12102101022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12102100989 and 12102101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102101021) by changing a digit.

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, 2059104 + ... + 2064972.

It is an arithmetic number, because the mean of its divisors is an integer number (417357000).

Almost surely, 212102101022 is an apocalyptic number.

12102101022 is an abundant number, since it is smaller than the sum of its proper divisors (14608746978).

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

12102101022 is a wasteful number, since it uses less digits than its factorization.

12102101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6241.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102101022 its reverse (22010120121), we get a palindrome (34112221143).

The spelling of 12102101022 in words is "twelve billion, one hundred two million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 157 199 314 398 471 597 942 1194 1727 2189 3454 4378 5181 5869 6567 10362 11738 13134 17607 31243 35214 62486 64559 93729 129118 187458 193677 343673 387354 687346 921433 1031019 1167931 1842866 2062038 2335862 2764299 3503793 5528598 7007586 10135763 12847241 20271526 25694482 30407289 38541723 60814578 77083446 183365167 366730334 550095501 1100191002 2017016837 4034033674 6051050511 12102101022