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212100031 = 11137971861
BaseRepresentation
bin11001010010001…
…10001110111111
3112210002210112201
430221012032333
5413244200111
633014012331
75153551303
oct1451061677
9483083481
10212100031
11a97a7990
125b0470a7
1334c329a0
1420251d03
15139496c1
hexca463bf

212100031 has 16 divisors (see below), whose sum is σ = 249627168. Its totient is φ = 177667200.

The previous prime is 212100023. The next prime is 212100067. The reversal of 212100031 is 130001212.

It is a cyclic number.

It is not a de Polignac number, because 212100031 - 23 = 212100023 is a prime.

It is a super-2 number, since 2×2121000312 = 89972846300401922, 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 = 212099990 and 212100017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113041 + ... + 114901.

It is an arithmetic number, because the mean of its divisors is an integer number (15601698).

Almost surely, 2212100031 is an apocalyptic number.

212100031 is a deficient number, since it is larger than the sum of its proper divisors (37527137).

212100031 is a wasteful number, since it uses less digits than its factorization.

212100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682.

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

The square root of 212100031 is about 14563.6544520941. The cubic root of 212100031 is about 596.3669637387.

Adding to 212100031 its reverse (130001212), we get a palindrome (342101243).

The spelling of 212100031 in words is "two hundred twelve million, one hundred thousand, thirty-one".

Divisors: 1 11 13 143 797 1861 8767 10361 20471 24193 113971 266123 1483217 16315387 19281821 212100031