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213012122031 = 3322934451257
BaseRepresentation
bin1100011001100010000…
…0110000100110101111
3202100211011212222021000
43012120200300212233
511442222100401111
6241504553011343
721250432106562
oct3063040604657
9670734788230
10213012122031
1182379876065
12353493b3b53
1317119076577
14a44a2c44d9
15581a9bcc56
hex31988309af

213012122031 has 16 divisors (see below), whose sum is σ = 316951573600. Its totient is φ = 141387954624.

The previous prime is 213012122009. The next prime is 213012122077. The reversal of 213012122031 is 130221210312.

It is not a de Polignac number, because 213012122031 - 26 = 213012121967 is a prime.

It is a super-2 number, since 2×2130121220312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213012121995 and 213012122013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213012132031) 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, 17219446 + ... + 17231811.

It is an arithmetic number, because the mean of its divisors is an integer number (19809473350).

Almost surely, 2213012122031 is an apocalyptic number.

213012122031 is a deficient number, since it is larger than the sum of its proper divisors (103939451569).

213012122031 is a wasteful number, since it uses less digits than its factorization.

213012122031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34451495 (or 34451489 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213012122031 its reverse (130221210312), we get a palindrome (343233332343).

The spelling of 213012122031 in words is "two hundred thirteen billion, twelve million, one hundred twenty-two thousand, thirty-one".

Divisors: 1 3 9 27 229 687 2061 6183 34451257 103353771 310061313 930183939 7889337853 23668013559 71004040677 213012122031