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100212110102212 = 22337521142689689
BaseRepresentation
bin10110110010010001110011…
…001110011000111011000100
3111010211011222020220010222021
4112302101303032120323010
5101113333400141232322
6553044450254212524
730052041336231553
oct2662216316307304
9433734866803867
10100212110102212
1129a267986a0409
12b2a5940ab4144
1343bbc66369674
141aa64133b1d9a
15b8bb30eb24c7
hex5b2473398ec4

100212110102212 has 24 divisors (see below), whose sum is σ = 176229187013880. Its totient is φ = 49861484574720.

The previous prime is 100212110102197. The next prime is 100212110102231. The reversal of 100212110102212 is 212201011212001.

It can be written as a sum of positive squares in 4 ways, for example, as 5000259487876 + 95211850614336 = 2236126^2 + 9757656^2 .

It is a super-2 number, since 2×1002121101022122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70642537 + ... + 72047152.

It is an arithmetic number, because the mean of its divisors is an integer number (7342882792245).

Almost surely, 2100212110102212 is an apocalyptic number.

It is an amenable number.

100212110102212 is a deficient number, since it is larger than the sum of its proper divisors (76017076911668).

100212110102212 is a wasteful number, since it uses less digits than its factorization.

100212110102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142690551 (or 142690549 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100212110102212 its reverse (212201011212001), we get a palindrome (312413121314213).

The spelling of 100212110102212 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 4 337 521 674 1042 1348 2084 175577 351154 702308 142689689 285379378 570758756 48086425193 74341327969 96172850386 148682655938 192345700772 297365311876 25053027525553 50106055051106 100212110102212