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242231411030401 = 1319137157229199103
BaseRepresentation
bin110111000100111011100101…
…001101010011100110000001
31011202200002121112002021112201
4313010323211031103212001
5223222204412210433101
62215103323552153201
7102010433115235462
oct6704734515234601
91152602545067481
10242231411030401
1170200845626461
12232020a1538801
13a521429c132a0
1443b60c465cd69
151d00edcb59e01
hexdc4ee5353981

242231411030401 has 64 divisors (see below), whose sum is σ = 279577376870400. Its totient is φ = 208030842279936.

The previous prime is 242231411030387. The next prime is 242231411030461. The reversal of 242231411030401 is 104030114132242.

It is a happy number.

242231411030401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242231411030401 - 215 = 242231410997633 is a prime.

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 242231411030401.

It is not an unprimeable number, because it can be changed into a prime (242231411030461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1216514016 + ... + 1216713118.

It is an arithmetic number, because the mean of its divisors is an integer number (4368396513600).

Almost surely, 2242231411030401 is an apocalyptic number.

It is an amenable number.

242231411030401 is a deficient number, since it is larger than the sum of its proper divisors (37345965839999).

242231411030401 is a wasteful number, since it uses less digits than its factorization.

242231411030401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199658.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 242231411030401 its reverse (104030114132242), we get a palindrome (346261525162643).

The spelling of 242231411030401 in words is "two hundred forty-two trillion, two hundred thirty-one billion, four hundred eleven million, thirty thousand, four hundred one".

Divisors: 1 13 19 137 157 229 247 1781 2041 2603 2977 2983 4351 21509 31373 33839 35953 38779 56563 199103 279617 407849 408671 467389 596087 683107 2588339 3782957 4925561 5312723 7749131 8880391 27277111 31259171 45594587 49178441 64032293 93585659 354602443 406369223 518265109 592729631 593924249 866297153 1216613567 4282506427 6246458419 6737446417 7158350159 7721015237 11261862989 55672583551 81203959447 81367622113 93058552067 118682709961 136008653021 980693971783 1057779087469 1542875229493 1768112489273 12749021633179 18633185463877 242231411030401