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213120387027 = 32291733471179
BaseRepresentation
bin1100011001111011110…
…1110000011111010011
3202101002201121101220200
43012132331300133103
511442432304341102
6241523421310243
721253215254142
oct3063675603723
9671081541820
10213120387027
11824249a2169
1235379705383
1317135621cb2
14a45a827759
15582525651c
hex319ef707d3

213120387027 has 24 divisors (see below), whose sum is σ = 318640186800. Its totient is φ = 137101489728.

The previous prime is 213120386989. The next prime is 213120387041. The reversal of 213120387027 is 720783021312.

It is not a de Polignac number, because 213120387027 - 28 = 213120386771 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213120386982 and 213120387000.

It is not an unprimeable number, because it can be changed into a prime (213120387047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216724 + ... + 687902.

It is an arithmetic number, because the mean of its divisors is an integer number (13276674450).

Almost surely, 2213120387027 is an apocalyptic number.

213120387027 is a deficient number, since it is larger than the sum of its proper divisors (105519799773).

213120387027 is a wasteful number, since it uses less digits than its factorization.

213120387027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472947 (or 472944 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 213120387027 in words is "two hundred thirteen billion, one hundred twenty million, three hundred eighty-seven thousand, twenty-seven".

Divisors: 1 3 9 29 87 261 1733 5199 15597 50257 150771 452313 471179 1413537 4240611 13664191 40992573 122977719 816553207 2449659621 7348978863 23680043003 71040129009 213120387027