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213122331331 = 71319131224257
BaseRepresentation
bin1100011001111100010…
…1001011001011000011
3202101002212021011222221
43012133011023023003
511442433304100311
6241523531111511
721253240632520
oct3063705131303
9671085234887
10213122331331
1182425aaaa28
123537a2a2597
1317135b52c80
14a45abb2147
1558254dc671
hex319f14b2c3

213122331331 has 16 divisors (see below), whose sum is σ = 262441738944. Its totient is φ = 168535977984.

The previous prime is 213122331283. The next prime is 213122331347. The reversal of 213122331331 is 133133221312.

213122331331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 213122331331 - 217 = 213122200259 is a prime.

It is a super-2 number, since 2×2131223313312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213122331296 and 213122331305.

It is not an unprimeable number, because it can be changed into a prime (213122331391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438046 + ... + 786211.

It is an arithmetic number, because the mean of its divisors is an integer number (16402608684).

Almost surely, 2213122331331 is an apocalyptic number.

213122331331 is a deficient number, since it is larger than the sum of its proper divisors (49319407613).

213122331331 is a wasteful number, since it uses less digits than its factorization.

213122331331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226190.

The product of its digits is 1944, while the sum is 25.

Adding to 213122331331 its reverse (133133221312), we get a palindrome (346255552643).

The spelling of 213122331331 in words is "two hundred thirteen billion, one hundred twenty-two million, three hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 7 13 91 1913 13391 24869 174083 1224257 8569799 15915341 111407387 2342003641 16394025487 30446047333 213122331331