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102401142311 = 132612162839
BaseRepresentation
bin101111101011110010…
…1010110111000100111
3100210022111211000021102
41133113211112320213
53134204143023221
6115013055510315
710253411230256
oct1372745267047
9323274730242
10102401142311
113a478858936
1217a19b2839b
13986c108300
144d55cda79d
1529e4e3930b
hex17d7956e27

102401142311 has 18 divisors (see below), whose sum is σ = 112732340760. Its totient is φ = 92973984480.

The previous prime is 102401142301. The next prime is 102401142343. The reversal of 102401142311 is 113241104201.

It is not a de Polignac number, because 102401142311 - 214 = 102401125927 is a prime.

It is a super-3 number, since 3×1024011423113 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102401142301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 547430 + ... + 710268.

It is an arithmetic number, because the mean of its divisors is an integer number (6262907820).

Almost surely, 2102401142311 is an apocalyptic number.

102401142311 is a deficient number, since it is larger than the sum of its proper divisors (10331198449).

102401142311 is an equidigital number, since it uses as much as digits as its factorization.

102401142311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162987 (or 162913 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 102401142311 its reverse (113241104201), we get a palindrome (215642246512).

The spelling of 102401142311 in words is "one hundred two billion, four hundred one million, one hundred forty-two thousand, three hundred eleven".

Divisors: 1 13 61 169 793 3721 10309 48373 162839 628849 2116907 9933179 27519791 129131327 605923919 1678707251 7877010947 102401142311