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211341509457 = 313311481118033
BaseRepresentation
bin1100010011010011101…
…1111000001101010001
3202012111202100001122020
43010310323320031101
511430311411300312
6241031114002053
721161145122151
oct3046473701521
9665452301566
10211341509457
11816a1855111
1234b61a16329
1316c10c19210
14a32c48c761
15576dec178c
hex3134ef8351

211341509457 has 32 divisors (see below), whose sum is σ = 313468087296. Its totient is φ = 125774899200.

The previous prime is 211341509443. The next prime is 211341509459. The reversal of 211341509457 is 754905143112.

211341509457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211341509457 - 27 = 211341509329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211341509459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1731513 + ... + 1849545.

It is an arithmetic number, because the mean of its divisors is an integer number (9795877728).

Almost surely, 2211341509457 is an apocalyptic number.

It is an amenable number.

211341509457 is a deficient number, since it is larger than the sum of its proper divisors (102126577839).

211341509457 is a wasteful number, since it uses less digits than its factorization.

211341509457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119561.

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 211341509457 in words is "two hundred eleven billion, three hundred forty-one million, five hundred nine thousand, four hundred fifty-seven".

Divisors: 1 3 13 31 39 93 403 1209 1481 4443 19253 45911 57759 118033 137733 354099 596843 1534429 1790529 3659023 4603287 10977069 47567299 142701897 174806873 524420619 2272489349 5419013063 6817468047 16257039189 70447169819 211341509457