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101002212 = 223210327239
BaseRepresentation
bin1100000010100…
…10101111100100
321001001102222200
412001102233210
5201324032322
614004454500
72334335043
oct601225744
9231042880
10101002212
1152016503
12299aa430
1317c04a2c
14d5b255a
158d018ac
hex6052be4

101002212 has 36 divisors (see below), whose sum is σ = 257799360. Its totient is φ = 33339312.

The previous prime is 101002207. The next prime is 101002241. The reversal of 101002212 is 212200101.

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 = 101002194 and 101002203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9912 + ... + 17327.

Almost surely, 2101002212 is an apocalyptic number.

101002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002212 is an abundant number, since it is smaller than the sum of its proper divisors (156797148).

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

101002212 is a wasteful number, since it uses less digits than its factorization.

101002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27352 (or 27347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101002212 is about 10049.9856716316. The cubic root of 101002212 is about 465.7043505262.

Adding to 101002212 its reverse (212200101), we get a palindrome (313202313).

The spelling of 101002212 in words is "one hundred one million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 27239 54478 81717 108956 163434 245151 326868 490302 980604 2805617 5611234 8416851 11222468 16833702 25250553 33667404 50501106 101002212