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242241412110201 = 32716372348870971
BaseRepresentation
bin110111000101000100111001…
…010100011001011101111001
31011202201001102111212202212200
4313011010321110121131321
5223222340403000011301
62215112100214100413
7102011236005065520
oct6705047124313571
91152631374782780
10242241412110201
1170205007a08769
122320401294a709
13a522361bbb09a
1443b67929c34b7
151d013c5b7cc86
hexdc5139519779

242241412110201 has 24 divisors (see below), whose sum is σ = 400134867822144. Its totient is φ = 138339104649120.

The previous prime is 242241412110193. The next prime is 242241412110239. The reversal of 242241412110201 is 102011214142242.

242241412110201 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 41 + 412 + 1 + 1 + 0 + 201 = 666.

It is not a de Polignac number, because 242241412110201 - 23 = 242241412110193 is a prime.

It is a super-2 number, since 2×2422414121102012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242241412110001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1174332355 + ... + 1174538616.

It is an arithmetic number, because the mean of its divisors is an integer number (16672286159256).

Almost surely, 2242241412110201 is an apocalyptic number.

242241412110201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242241412110201 is a deficient number, since it is larger than the sum of its proper divisors (157893455711943).

242241412110201 is a wasteful number, since it uses less digits than its factorization.

242241412110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348872621 (or 2348872618 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 242241412110201 its reverse (102011214142242), we get a palindrome (344252626252443).

The spelling of 242241412110201 in words is "two hundred forty-two trillion, two hundred forty-one billion, four hundred twelve million, one hundred ten thousand, two hundred one".

Divisors: 1 3 7 9 21 63 1637 4911 11459 14733 34377 103131 2348870971 7046612913 16442096797 21139838739 49326290391 147978871173 3845101779527 11535305338581 26915712456689 34605916015743 80747137370067 242241412110201