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242100441 = 3311887919
BaseRepresentation
bin11100110111000…
…10100011011001
3121212112222101000
432123202203121
5443434203231
640005015213
75666551122
oct1633424331
9555488330
10242100441
11114728710
12690b4509
133b207bcb
1424221049
15163c36e6
hexe6e28d9

242100441 has 32 divisors (see below), whose sum is σ = 392140800. Its totient is φ = 146402640.

The previous prime is 242100427. The next prime is 242100479. The reversal of 242100441 is 144001242.

It is not a de Polignac number, because 242100441 - 211 = 242098393 is a prime.

It is a super-2 number, since 2×2421004412 = 117225247064788962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242100241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262980 + ... + 263898.

It is an arithmetic number, because the mean of its divisors is an integer number (12254400).

Almost surely, 2242100441 is an apocalyptic number.

It is an amenable number.

242100441 is a deficient number, since it is larger than the sum of its proper divisors (150040359).

242100441 is a wasteful number, since it uses less digits than its factorization.

242100441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 242100441 is about 15559.5771472107. The cubic root of 242100441 is about 623.2541708563.

Adding to 242100441 its reverse (144001242), we get a palindrome (386101683).

The spelling of 242100441 in words is "two hundred forty-two million, one hundred thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 887 919 2661 2757 7983 8271 9757 10109 23949 24813 29271 30327 87813 90981 263439 272943 815153 2445459 7336377 8966683 22009131 26900049 80700147 242100441