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242102091 = 3731173293
BaseRepresentation
bin11100110111000…
…10111101001011
3121212120001122010
432123202331023
5443434231331
640005031003
75666556000
oct1633427513
9555501563
10242102091
11114729980
12690b5463
133b20889a
14242218a7
15163c3e46
hexe6e2f4b

242102091 has 64 divisors (see below), whose sum is σ = 417715200. Its totient is φ = 123621120.

The previous prime is 242102059. The next prime is 242102099. The reversal of 242102091 is 190201242.

It is not a de Polignac number, because 242102091 - 25 = 242102059 is a prime.

It is a super-2 number, since 2×2421020912 = 117226844933144562, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (242102099) 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 63 ways as a sum of consecutive naturals, for example, 826141 + ... + 826433.

It is an arithmetic number, because the mean of its divisors is an integer number (6526800).

Almost surely, 2242102091 is an apocalyptic number.

242102091 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242102091 is a deficient number, since it is larger than the sum of its proper divisors (175613109).

242102091 is a wasteful number, since it uses less digits than its factorization.

242102091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 242102091 is about 15559.6301691268. The cubic root of 242102091 is about 623.2555867522.

The spelling of 242102091 in words is "two hundred forty-two million, one hundred two thousand, ninety-one".

Divisors: 1 3 7 11 21 33 49 73 77 147 219 231 293 343 511 539 803 879 1029 1533 1617 2051 2409 3223 3577 3773 5621 6153 9669 10731 11319 14357 16863 21389 22561 25039 39347 43071 64167 67683 75117 100499 118041 149723 157927 235279 275429 301497 449169 473781 705837 826287 1048061 1105489 1646953 3144183 3316467 4940859 7336427 11528671 22009281 34586013 80700697 242102091