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212130040 = 2356779153
BaseRepresentation
bin11001010010011…
…01100011111000
3112210011022201011
430221031203320
5413301130130
633014403304
75154034633
oct1451154370
9483138634
10212130040
11a9818491
125b060534
1334c43545
142025cc1a
151395352a
hexca4d8f8

212130040 has 32 divisors (see below), whose sum is σ = 484422480. Its totient is φ = 83584512.

The previous prime is 212130031. The next prime is 212130047. The reversal of 212130040 is 40031212.

212130040 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-3 number, since 3×2121300403 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212130040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212130047) 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, 36897 + ... + 42256.

Almost surely, 2212130040 is an apocalyptic number.

212130040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212130040 is an abundant number, since it is smaller than the sum of its proper divisors (272292440).

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

212130040 is a wasteful number, since it uses less digits than its factorization.

212130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79231 (or 79227 counting only the distinct ones).

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

The square root of 212130040 is about 14564.6846859106. The cubic root of 212130040 is about 596.3950880977.

Adding to 212130040 its reverse (40031212), we get a palindrome (252161252).

The spelling of 212130040 in words is "two hundred twelve million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 79153 158306 316612 395765 633224 791530 1583060 3166120 5303251 10606502 21213004 26516255 42426008 53032510 106065020 212130040