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142113311241 = 31125120878221
BaseRepresentation
bin1000010001011010011…
…1010000101000001001
3111120211010021012202220
42010112213100220021
54312022001424431
6145141433244253
713160462133366
oct2042647205011
9446733235686
10142113311241
11552a7294160
1223661563689
131052a660915
146c4218146d
153a6b517b96
hex21169d0a09

142113311241 has 32 divisors (see below), whose sum is σ = 207658515456. Its totient is φ = 85734600000.

The previous prime is 142113311177. The next prime is 142113311273.

142113311241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142113311241 - 26 = 142113311177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (142113311141) 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, 17282511 + ... + 17290731.

It is an arithmetic number, because the mean of its divisors is an integer number (6489328608).

Almost surely, 2142113311241 is an apocalyptic number.

142113311241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142113311241 is a deficient number, since it is larger than the sum of its proper divisors (65545204215).

142113311241 is a wasteful number, since it uses less digits than its factorization.

142113311241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10573.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 142113 and 311241, that added together give a palindrome (453354).

The spelling of 142113311241 in words is "one hundred forty-two billion, one hundred thirteen million, three hundred eleven thousand, two hundred forty-one".

Divisors: 1 3 11 33 251 753 2087 2761 6261 8221 8283 22957 24663 68871 90431 271293 523837 1571511 2063471 5762207 6190413 17157227 17286621 22698181 51471681 68094543 188729497 566188491 4306463977 12919391931 47371103747 142113311241