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213202034314431 = 317317109111120863
BaseRepresentation
bin110000011110011111110111…
…100001010100110010111111
31000221212220201100100011010020
4300132133313201110302333
5210421100231241030211
62033235355030343223
762623224106403121
oct6036376741246277
91027786640304106
10213202034314431
1161a29525228838
121bab3b95abab13
1391c6b338664c6
143a91067d99211
15199ad1a58a306
hexc1e7f7854cbf

213202034314431 has 32 divisors (see below), whose sum is σ = 301945871536128. Its totient is φ = 133349500515840.

The previous prime is 213202034314411. The next prime is 213202034314433. The reversal of 213202034314431 is 134413430202312.

It is not a de Polignac number, because 213202034314431 - 211 = 213202034312383 is a prime.

It is a super-2 number, since 2×2132020343144312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213202034314392 and 213202034314401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213202034314433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1763937106 + ... + 1764057968.

It is an arithmetic number, because the mean of its divisors is an integer number (9435808485504).

Almost surely, 2213202034314431 is an apocalyptic number.

213202034314431 is a deficient number, since it is larger than the sum of its proper divisors (88743837221697).

213202034314431 is a wasteful number, since it uses less digits than its factorization.

213202034314431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230311.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 213202034314431 its reverse (134413430202312), we get a palindrome (347615464516743).

The spelling of 213202034314431 in words is "two hundred thirteen trillion, two hundred two billion, thirty-four million, three hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 17 51 317 951 5389 16167 109111 120863 327333 362589 1854887 2054671 5564661 6164013 34588187 38313571 103764561 114940713 587999179 651330707 1763997537 1953992121 13187482793 39562448379 224187207481 672561622443 4180432045381 12541296136143 71067344771477 213202034314431