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242100133113 = 37925112773187
BaseRepresentation
bin1110000101111001001…
…0101101110011111001
3212010220101010001000210
43201132102231303321
512431310113224423
6303115210021333
723330316114606
oct3413622556371
9763811101023
10242100133113
1193746239343
123ab06a17849
1319aa3508047
14ba095716ad
15646e4ecb93
hex385e4adcf9

242100133113 has 32 divisors (see below), whose sum is σ = 328548648960. Its totient is φ = 158548104000.

The previous prime is 242100133091. The next prime is 242100133123. The reversal of 242100133113 is 311331001242.

It is not a de Polignac number, because 242100133113 - 25 = 242100133081 is a prime.

It is a super-2 number, since 2×2421001331132 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 242100133113.

It is not an unprimeable number, because it can be changed into a prime (242100133123) 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, 75963306 + ... + 75966492.

It is an arithmetic number, because the mean of its divisors is an integer number (10267145280).

Almost surely, 2242100133113 is an apocalyptic number.

It is an amenable number.

242100133113 is a deficient number, since it is larger than the sum of its proper divisors (86448515847).

242100133113 is a wasteful number, since it uses less digits than its factorization.

242100133113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 242100133113 its reverse (311331001242), we get a palindrome (553431134355).

The spelling of 242100133113 in words is "two hundred forty-two billion, one hundred million, one hundred thirty-three thousand, one hundred thirteen".

Divisors: 1 3 79 237 251 753 1277 3187 3831 9561 19829 59487 100883 251773 302649 320527 755319 799937 961581 2399811 4069799 12209397 25321633 63195023 75964899 189585069 321514121 964542363 1021519549 3064558647 80700044371 242100133113