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221239121257 = 71131349926489
BaseRepresentation
bin1100111000001011100…
…0010001010101101001
3210011001112102211120001
43032002320101111221
512111044203340012
6245345202103001
721661340334220
oct3160270212551
9704045384501
10221239121257
1185910797380
1236a6464aa61
1317b2a637b4b
14a9cab9bcb7
155b4cda7357
hex3382e11569

221239121257 has 32 divisors (see below), whose sum is σ = 284820480000. Its totient is φ = 166779043200.

The previous prime is 221239121237. The next prime is 221239121321. The reversal of 221239121257 is 752121932122.

It is a de Polignac number, because none of the positive numbers 2k-221239121257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221239121227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8338869 + ... + 8365357.

It is an arithmetic number, because the mean of its divisors is an integer number (8900640000).

Almost surely, 2221239121257 is an apocalyptic number.

It is an amenable number.

221239121257 is a deficient number, since it is larger than the sum of its proper divisors (63581358743).

221239121257 is a wasteful number, since it uses less digits than its factorization.

221239121257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30037.

The product of its digits is 30240, while the sum is 37.

The spelling of 221239121257 in words is "two hundred twenty-one billion, two hundred thirty-nine million, one hundred twenty-one thousand, two hundred fifty-seven".

Divisors: 1 7 11 31 77 217 341 2387 3499 24493 26489 38489 108469 185423 269423 291379 759283 821159 1193159 2039653 5748113 8352113 9032749 63229243 92685011 648795077 1019535121 2873235341 7136745847 20112647387 31605588751 221239121257