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216101961 = 32314318013
BaseRepresentation
bin11001110000101…
…11010001001001
3120001122010011100
430320113101021
5420310230321
633235452013
75232556605
oct1470272111
9501563140
10216101961
11100a90669
1260457009
1335a043aa
14209b4505
1513e8a326
hexce17449

216101961 has 24 divisors (see below), whose sum is σ = 329728256. Its totient is φ = 136170720.

The previous prime is 216101959. The next prime is 216101969. The reversal of 216101961 is 169101612.

It is not a de Polignac number, because 216101961 - 21 = 216101959 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216101969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2991 + ... + 21003.

Almost surely, 2216101961 is an apocalyptic number.

It is an amenable number.

216101961 is a deficient number, since it is larger than the sum of its proper divisors (113626295).

216101961 is a wasteful number, since it uses less digits than its factorization.

216101961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18093 (or 18090 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 216101961 is about 14700.4068311050. The cubic root of 216101961 is about 600.0943934823.

The spelling of 216101961 in words is "two hundred sixteen million, one hundred one thousand, nine hundred sixty-one".

Divisors: 1 3 9 31 43 93 129 279 387 1333 3999 11997 18013 54039 162117 558403 774559 1675209 2323677 5025627 6971031 24011329 72033987 216101961