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100101000212 = 22291018543957
BaseRepresentation
bin101110100111001111…
…1000000110000010100
3100120101012200200111022
41131032133000300110
53120001324001322
6113552531500312
710142411314523
oct1351637006024
9316335620438
10100101000212
11394a8450054
1217497757698
139593713595
144bb86324ba
15290d03a942
hex174e7c0c14

100101000212 has 24 divisors (see below), whose sum is σ = 183011580360. Its totient is φ = 47846153600.

The previous prime is 100101000179. The next prime is 100101000221. The reversal of 100101000212 is 212000101001.

It can be written as a sum of positive squares in 4 ways, for example, as 19645946896 + 80455053316 = 140164^2 + 283646^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100101000212.

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 7 ways as a sum of consecutive naturals, for example, 4260263 + ... + 4283694.

It is an arithmetic number, because the mean of its divisors is an integer number (7625482515).

Almost surely, 2100101000212 is an apocalyptic number.

It is an amenable number.

100101000212 is a deficient number, since it is larger than the sum of its proper divisors (82910580148).

100101000212 is a wasteful number, since it uses less digits than its factorization.

100101000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8544091 (or 8544089 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100101000212 its reverse (212000101001), we get a palindrome (312101101213).

The spelling of 100101000212 in words is "one hundred billion, one hundred one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 29 58 101 116 202 404 2929 5858 11716 8543957 17087914 34175828 247774753 495549506 862939657 991099012 1725879314 3451758628 25025250053 50050500106 100101000212