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212133031 = 1131622091
BaseRepresentation
bin11001010010011…
…10010010100111
3112210011110210221
430221032102213
5413301224111
633014425211
75154046435
oct1451162247
9483143727
10212133031
11a981a760
125b062207
1334c44a06
142025dd55
1513954371
hexca4e4a7

212133031 has 8 divisors (see below), whose sum is σ = 238883328. Its totient is φ = 186627000.

The previous prime is 212133029. The next prime is 212133037. The reversal of 212133031 is 130331212.

212133031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212133031 - 21 = 212133029 is a prime.

It is a super-2 number, since 2×2121330312 = 90000845682493922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212132996 and 212133014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133037) 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, 310705 + ... + 311386.

It is an arithmetic number, because the mean of its divisors is an integer number (29860416).

Almost surely, 2212133031 is an apocalyptic number.

212133031 is a deficient number, since it is larger than the sum of its proper divisors (26750297).

212133031 is a wasteful number, since it uses less digits than its factorization.

212133031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622133.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 212133031 is about 14564.7873654235. The cubic root of 212133031 is about 596.3978911100.

Adding to 212133031 its reverse (130331212), we get a palindrome (342464243).

The spelling of 212133031 in words is "two hundred twelve million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 11 31 341 622091 6843001 19284821 212133031