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202212332031 = 3378382326669
BaseRepresentation
bin1011110001010011001…
…0110101000111111111
3201022221112011210111210
42330110302311013333
511303112324111111
6232521200015503
720416003314423
oct2742462650777
9638845153453
10202212332031
1178837653a86
1233234601593
13160b777a998
149b03c4cb83
1553d77ca0a6
hex2f14cb51ff

202212332031 has 32 divisors (see below), whose sum is σ = 280590589440. Its totient is φ = 129422150784.

The previous prime is 202212332011. The next prime is 202212332083. The reversal of 202212332031 is 130233212202.

It is a happy number.

It is not a de Polignac number, because 202212332031 - 27 = 202212331903 is a prime.

It is a super-2 number, since 2×2022123320312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202212331989 and 202212332007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202212332011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7568965 + ... + 7595633.

It is an arithmetic number, because the mean of its divisors is an integer number (8768455920).

Almost surely, 2202212332031 is an apocalyptic number.

202212332031 is a deficient number, since it is larger than the sum of its proper divisors (78378257409).

202212332031 is a wasteful number, since it uses less digits than its factorization.

202212332031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27615.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 202212332031 its reverse (130233212202), we get a palindrome (332445544233).

The spelling of 202212332031 in words is "two hundred two billion, two hundred twelve million, three hundred thirty-two thousand, thirty-one".

Divisors: 1 3 37 83 111 249 823 2469 3071 9213 26669 30451 68309 80007 91353 204927 986753 2213527 2527433 2960259 6640581 7582299 21948587 65845761 81900499 245701497 812097719 1821732721 2436293157 5465198163 67404110677 202212332031