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242013010031 = 133717911232503
BaseRepresentation
bin1110000101100100011…
…0010111100001101111
3212010200022011201121222
43201121012113201233
512431120312310111
6303102414413555
723325210433502
oct3413106274157
9763608151558
10242013010031
11937010424a1
123aaa18012bb
1319a8b452720
14b9dbb73139
156466a3d7db
hex385919786f

242013010031 has 32 divisors (see below), whose sum is σ = 269516136960. Its totient is φ = 215865834624.

The previous prime is 242013010027. The next prime is 242013010033. The reversal of 242013010031 is 130010310242.

It is a cyclic number.

It is not a de Polignac number, because 242013010031 - 22 = 242013010027 is a prime.

It is a super-2 number, since 2×2420130100312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242013009991 and 242013010009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242013010033) 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, 96687926 + ... + 96690428.

It is an arithmetic number, because the mean of its divisors is an integer number (8422379280).

Almost surely, 2242013010031 is an apocalyptic number.

242013010031 is a deficient number, since it is larger than the sum of its proper divisors (27503126929).

242013010031 is a wasteful number, since it uses less digits than its factorization.

242013010031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 242013010031 its reverse (130010310242), we get a palindrome (372023320273).

The spelling of 242013010031 in words is "two hundred forty-two billion, thirteen million, ten thousand, thirty-one".

Divisors: 1 13 37 179 481 1123 2327 2503 6623 14599 32539 41551 86099 92611 201017 448037 540163 1203943 2613221 2810869 5824481 7437629 16577369 36541297 96689177 104002153 215505797 503145551 1352027989 6540892163 18616385387 242013010031