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212131000 = 2353212131
BaseRepresentation
bin11001010010011…
…01110010111000
3112210011101000201
430221031302320
5413301143000
633014411544
75154040504
oct1451156270
9483141021
10212131000
11a9819184
125b060bb4
1334c43b03
142025d304
151395396a
hexca4dcb8

212131000 has 32 divisors (see below), whose sum is σ = 496388880. Its totient is φ = 84852000.

The previous prime is 212130983. The next prime is 212131009. The reversal of 212131000 is 131212.

212131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121310002 = 89999122322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212131009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105066 + ... + 107065.

Almost surely, 2212131000 is an apocalyptic number.

212131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212131000 is an abundant number, since it is smaller than the sum of its proper divisors (284257880).

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

212131000 is a wasteful number, since it uses less digits than its factorization.

212131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212152 (or 212138 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 212131000 is about 14564.7176423026. The cubic root of 212131000 is about 596.3959877635.

Adding to 212131000 its reverse (131212), we get a palindrome (212262212).

The spelling of 212131000 in words is "two hundred twelve million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 212131 424262 848524 1060655 1697048 2121310 4242620 5303275 8485240 10606550 21213100 26516375 42426200 53032750 106065500 212131000