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212232031 = 11411632887
BaseRepresentation
bin11001010011001…
…10011101011111
3112210100111121121
430221212131133
5413312411111
633020511411
75154641164
oct1451463537
9483314547
10212232031
11a9888080
125b0ab567
1334c7aaab
142028806b
1513973871
hexca6675f

212232031 has 16 divisors (see below), whose sum is σ = 238710528. Its totient is φ = 187012800.

The previous prime is 212231977. The next prime is 212232049. The reversal of 212232031 is 130232212.

It is a cyclic number.

It is not a de Polignac number, because 212232031 - 213 = 212223839 is a prime.

It is a super-2 number, since 2×2122320312 = 90084869964769922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212231996 and 212232014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212232091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72070 + ... + 74956.

It is an arithmetic number, because the mean of its divisors is an integer number (14919408).

Almost surely, 2212232031 is an apocalyptic number.

212232031 is a deficient number, since it is larger than the sum of its proper divisors (26478497).

212232031 is a wasteful number, since it uses less digits than its factorization.

212232031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 212232031 is about 14568.1855767971. The cubic root of 212232031 is about 596.4906539837.

Adding to 212232031 its reverse (130232212), we get a palindrome (342464243).

The spelling of 212232031 in words is "two hundred twelve million, two hundred thirty-two thousand, thirty-one".

Divisors: 1 11 41 163 451 1793 2887 6683 31757 73513 118367 470581 1302037 5176391 19293821 212232031