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100111212 = 22327013967
BaseRepresentation
bin1011111011110…
…01001101101100
320222101011202200
411331321031230
5201112024322
613533421500
72323634265
oct575711554
9228334680
10100111212
1151568043
122963a890
1317982306
14d41d96c
158bc78ac
hex5f7936c

100111212 has 36 divisors (see below), whose sum is σ = 253483776. Its totient is φ = 33314400.

The previous prime is 100111189. The next prime is 100111229. The reversal of 100111212 is 212111001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100111194 and 100111203.

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 11 ways as a sum of consecutive naturals, for example, 23253 + ... + 27219.

It is an arithmetic number, because the mean of its divisors is an integer number (7041216).

Almost surely, 2100111212 is an apocalyptic number.

100111212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111212 is an abundant number, since it is smaller than the sum of its proper divisors (153372564).

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

100111212 is a wasteful number, since it uses less digits than its factorization.

100111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 100111212 is about 10005.5590548455. The cubic root of 100111212 is about 464.3308864068.

Adding to 100111212 its reverse (212111001), we get a palindrome (312222213).

The spelling of 100111212 in words is "one hundred million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 701 1402 2103 2804 3967 4206 6309 7934 8412 11901 12618 15868 23802 25236 35703 47604 71406 142812 2780867 5561734 8342601 11123468 16685202 25027803 33370404 50055606 100111212