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242101309 = 29431491303
BaseRepresentation
bin11100110111000…
…10110000111101
3121212120000120011
432123202300331
5443434220214
640005023221
75666553502
oct1633426075
9555500504
10242101309
1111472932a
12690b4b11
133b208418
14242214a9
15163c3ac4
hexe6e2c3d

242101309 has 16 divisors (see below), whose sum is σ = 258192000. Its totient is φ = 226610496.

The previous prime is 242101291. The next prime is 242101313. The reversal of 242101309 is 903101242.

It is a cyclic number.

It is not a de Polignac number, because 242101309 - 29 = 242100797 is a prime.

It is a super-2 number, since 2×2421013092 = 117226087639026962, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242101309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242101339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185152 + ... + 186454.

It is an arithmetic number, because the mean of its divisors is an integer number (16137000).

Almost surely, 2242101309 is an apocalyptic number.

242101309 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

242101309 is a deficient number, since it is larger than the sum of its proper divisors (16090691).

242101309 is a wasteful number, since it uses less digits than its factorization.

242101309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 242101309 is about 15559.6050399745. The cubic root of 242101309 is about 623.2549157042.

The spelling of 242101309 in words is "two hundred forty-two million, one hundred one thousand, three hundred nine".

Divisors: 1 29 43 149 1247 1303 4321 6407 37787 56029 185803 194147 1624841 5630263 8348321 242101309