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212013302319 = 327131999129499
BaseRepresentation
bin1100010101110011111…
…0100100001000101111
3202021020120102200012100
43011130332210020233
511433200401133234
6241221512510143
721213613223010
oct3053476441057
9667216380170
10212013302319
1181a06a89025
123510a9ab353
1316cba1606a0
14a3937a3007
1557ace71399
hex315cfa422f

212013302319 has 48 divisors (see below), whose sum is σ = 377104000000. Its totient is φ = 111774385728.

The previous prime is 212013302309. The next prime is 212013302329. The reversal of 212013302319 is 913203310212.

212013302319 is a `hidden beast` number, since 2 + 12 + 0 + 1 + 330 + 2 + 319 = 666.

It is an interprime number because it is at equal distance from previous prime (212013302309) and next prime (212013302329).

It is not a de Polignac number, because 212013302319 - 29 = 212013301807 is a prime.

It is a super-2 number, since 2×2120133023192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212013302292 and 212013302301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212013302309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1572432 + ... + 1701930.

Almost surely, 2212013302319 is an apocalyptic number.

212013302319 is a deficient number, since it is larger than the sum of its proper divisors (165090697681).

212013302319 is a wasteful number, since it uses less digits than its factorization.

212013302319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131524 (or 131521 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 212013302319 in words is "two hundred twelve billion, thirteen million, three hundred two thousand, three hundred nineteen".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1999 5997 13993 17991 25987 41979 77961 125937 129499 181909 233883 388497 545727 906493 1165491 1637181 1683487 2719479 5050461 8158437 11784409 15151383 35353227 106059681 258868501 776605503 1812079507 2329816509 3365290513 5436238521 10095871539 16308715563 23557033591 30287614617 70671100773 212013302319