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213021310131 = 3376611705139
BaseRepresentation
bin1100011001100100001…
…1110011110010110011
3202100211211011202222000
43012121003303302303
511442231423411011
6241505521545043
721250603155210
oct3063103636263
9670754152860
10213021310131
1182383a81233
12353504a5183
131711ac42706
14a44b5d6b07
15581b6d5356
hex31990f3cb3

213021310131 has 32 divisors (see below), whose sum is σ = 361216857600. Its totient is φ = 121542236640.

The previous prime is 213021310127. The next prime is 213021310133. The reversal of 213021310131 is 131013120312.

213021310131 is a `hidden beast` number, since 21 + 302 + 1 + 310 + 1 + 31 = 666.

It is not a de Polignac number, because 213021310131 - 22 = 213021310127 is a prime.

It is a super-2 number, since 2×2130213101312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213021310133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727641 + ... + 977498.

It is an arithmetic number, because the mean of its divisors is an integer number (11288026800).

Almost surely, 2213021310131 is an apocalyptic number.

213021310131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213021310131 is a deficient number, since it is larger than the sum of its proper divisors (148195547469).

213021310131 is a wasteful number, since it uses less digits than its factorization.

213021310131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705816 (or 1705810 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213021310131 its reverse (131013120312), we get a palindrome (344034430443).

The spelling of 213021310131 in words is "two hundred thirteen billion, twenty-one million, three hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 661 1983 4627 5949 13881 17847 41643 124929 1705139 5115417 11935973 15346251 35807919 46038753 107423757 322271271 1127096879 3381290637 7889678153 10143871911 23669034459 30431615733 71007103377 213021310131