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242013422511 = 347260975919
BaseRepresentation
bin1110000101100100011…
…1111100001110101111
3212010200022221200110000
43201121013330032233
512431120414010021
6303102431315343
723325214102200
oct3413107741657
9763608850400
10242013422511
11937012a4393
123aaa197bb53
1319a8b5683b3
14b9dbc3d5a7
156466ac0b26
hex38591fc3af

242013422511 has 30 divisors (see below), whose sum is σ = 420550920240. Its totient is φ = 138293382024.

The previous prime is 242013422477. The next prime is 242013422527. The reversal of 242013422511 is 115224310242.

242013422511 is a `hidden beast` number, since 2 + 420 + 1 + 3 + 4 + 225 + 11 = 666.

It is not a de Polignac number, because 242013422511 - 210 = 242013421487 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242013422531) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30483991 + ... + 30491928.

It is an arithmetic number, because the mean of its divisors is an integer number (14018364008).

Almost surely, 2242013422511 is an apocalyptic number.

242013422511 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242013422511 is a deficient number, since it is larger than the sum of its proper divisors (178537497729).

242013422511 is an equidigital number, since it uses as much as digits as its factorization.

242013422511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60975945 (or 60975929 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 242013422511 its reverse (115224310242), we get a palindrome (357237732753).

The spelling of 242013422511 in words is "two hundred forty-two billion, thirteen million, four hundred twenty-two thousand, five hundred eleven".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 60975919 182927757 426831433 548783271 1280494299 1646349813 2987820031 3841482897 4939049439 8963460093 11524448691 26890380279 34573346073 80671140837 242013422511