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100202102212 = 22113909219917
BaseRepresentation
bin101110101010010000…
…0101011110111000100
3100120122020221012100211
41131110200223313010
53120203214232322
6114010542445204
710145046546532
oct1352440536704
9316566835324
10100202102212
113954a524523
1217505593804
1395ab651854
144bc7c2d152
152916d5bb77
hex175482bdc4

100202102212 has 12 divisors (see below), whose sum is σ = 175356015660. Its totient is φ = 50100383456.

The previous prime is 100202102183. The next prime is 100202102227. The reversal of 100202102212 is 212201202001.

It is a happy number.

100202102212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35409454276 + 64792647936 = 188174^2 + 254544^2 .

It is a super-2 number, since 2×1002021022122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100202102192 and 100202102201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 345678 + ... + 565594.

It is an arithmetic number, because the mean of its divisors is an integer number (14613001305).

Almost surely, 2100202102212 is an apocalyptic number.

It is an amenable number.

100202102212 is a deficient number, since it is larger than the sum of its proper divisors (75153913448).

100202102212 is a wasteful number, since it uses less digits than its factorization.

100202102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333830 (or 333828 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100202102212 its reverse (212201202001), we get a palindrome (312403304213).

The spelling of 100202102212 in words is "one hundred billion, two hundred two million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 4 113909 219917 227818 439834 455636 879668 25050525553 50101051106 100202102212