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213502544442 = 23511173230849
BaseRepresentation
bin1100011011010110111…
…1100100101000111010
3202102002100201000100000
43012311233210220322
511444223122410232
6242025352253430
721265535453535
oct3066557445072
9672070630300
10213502544442
1182600690740
12354656a1276
1317196857145
14a4954a5a1c
155848a9327c
hex31b5be4a3a

213502544442 has 96 divisors (see below), whose sum is σ = 526360161600. Its totient is φ = 64323486720.

The previous prime is 213502544413. The next prime is 213502544471. The reversal of 213502544442 is 244445205312.

213502544442 is a `hidden beast` number, since 21 + 3 + 50 + 2 + 544 + 4 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (213502544413) and next prime (213502544471).

It is a junction number, because it is equal to n+sod(n) for n = 213502544397 and 213502544406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809434 + ... + 1040282.

It is an arithmetic number, because the mean of its divisors is an integer number (5482918350).

Almost surely, 2213502544442 is an apocalyptic number.

213502544442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213502544442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263180080800).

213502544442 is an abundant number, since it is smaller than the sum of its proper divisors (312857617158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213502544442 is a wasteful number, since it uses less digits than its factorization.

213502544442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231050 (or 231038 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 213502544442 its reverse (244445205312), we get a palindrome (457947749754).

The spelling of 213502544442 in words is "two hundred thirteen billion, five hundred two million, five hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 173 198 243 297 346 486 519 594 891 1038 1557 1782 1903 2673 3114 3806 4671 5346 5709 9342 11418 14013 17127 28026 34254 42039 51381 84078 102762 154143 230849 308286 461698 462429 692547 924858 1385094 2077641 2539339 4155282 5078678 6232923 7618017 12465846 15236034 18698769 22854051 37397538 39936877 45708102 56096307 68562153 79873754 112192614 119810631 137124306 205686459 239621262 359431893 411372918 439305647 617059377 718863786 878611294 1078295679 1234118754 1317916941 2156591358 2635833882 3234887037 3953750823 6469774074 7907501646 9704661111 11861252469 19409322222 23722504938 35583757407 71167514814 106751272221 213502544442