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212034100 = 22522120341
BaseRepresentation
bin11001010001101…
…10001000110100
3112202222110002211
430220312020310
5413240042400
633012343204
75153155135
oct1450661064
9482873084
10212034100
11a97623a3
125b014b04
1334c0b985
1420235c8c
1513934dba
hexca36234

212034100 has 18 divisors (see below), whose sum is σ = 460114214. Its totient is φ = 84813600.

The previous prime is 212034059. The next prime is 212034107. The reversal of 212034100 is 1430212.

It can be written as a sum of positive squares in 3 ways, for example, as 7086244 + 204947856 = 2662^2 + 14316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212034107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060071 + ... + 1060270.

Almost surely, 2212034100 is an apocalyptic number.

212034100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212034100 is an abundant number, since it is smaller than the sum of its proper divisors (248080114).

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

212034100 is a wasteful number, since it uses less digits than its factorization.

212034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120355 (or 2120348 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 212034100 is about 14561.3907302840. The cubic root of 212034100 is about 596.3051640541.

Adding to 212034100 its reverse (1430212), we get a palindrome (213464312).

The spelling of 212034100 in words is "two hundred twelve million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2120341 4240682 8481364 10601705 21203410 42406820 53008525 106017050 212034100