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242234002031 = 7174173367733
BaseRepresentation
bin1110000110011001000…
…1011000101001101111
3212011020201000021122212
43201212101120221233
512432043401031111
6303140351201035
723333533021160
oct3414621305157
9764221007585
10242234002031
119380486300a
123ab4381617b
1319ac5179818
14ba1d25b767
15647b14298b
hex3866458a6f

242234002031 has 32 divisors (see below), whose sum is σ = 300686940288. Its totient is φ = 190386524160.

The previous prime is 242234002001. The next prime is 242234002061. The reversal of 242234002031 is 130200432242.

242234002031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242234002001) and next prime (242234002061).

It is not a de Polignac number, because 242234002031 - 230 = 241160260207 is a prime.

It is a super-2 number, since 2×2422340020312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242234001988 and 242234002006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242234002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3542441 + ... + 3610173.

It is an arithmetic number, because the mean of its divisors is an integer number (9396466884).

Almost surely, 2242234002031 is an apocalyptic number.

242234002031 is a deficient number, since it is larger than the sum of its proper divisors (58452938257).

242234002031 is a wasteful number, since it uses less digits than its factorization.

242234002031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68531.

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 242234002031 its reverse (130200432242), we get a palindrome (372434434273).

The spelling of 242234002031 in words is "two hundred forty-two billion, two hundred thirty-four million, two thousand, thirty-one".

Divisors: 1 7 17 41 119 287 697 733 4879 5131 12461 30053 67733 87227 210371 474131 510901 1151461 2777053 3576307 8060227 19439371 47209901 49648289 330469307 347538023 844020913 2035579849 5908146391 14249058943 34604857433 242234002031