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103142103101 = 535921912927
BaseRepresentation
bin110000000001110111…
…1111001100000111101
3100212020011001201101122
41200003233321200331
53142213334244401
6115214405120325
710310646260642
oct1400357714075
9325204051348
10103142103101
113a819034724
1217ba60b90a5
13995978964b
144dc6497dc9
152a39eed21b
hex1803bf983d

103142103101 has 24 divisors (see below), whose sum is σ = 107495921664. Its totient is φ = 98926187360.

The previous prime is 103142103083. The next prime is 103142103131. The reversal of 103142103101 is 101301241301.

It is not a de Polignac number, because 103142103101 - 214 = 103142086717 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103142103101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103142103131) 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 23 ways as a sum of consecutive naturals, for example, 35236700 + ... + 35239626.

It is an arithmetic number, because the mean of its divisors is an integer number (4478996736).

Almost surely, 2103142103101 is an apocalyptic number.

It is an amenable number.

103142103101 is a deficient number, since it is larger than the sum of its proper divisors (4353818563).

103142103101 is an equidigital number, since it uses as much as digits as its factorization.

103142103101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 103142103101 its reverse (101301241301), we get a palindrome (204443344402).

The spelling of 103142103101 in words is "one hundred three billion, one hundred forty-two million, one hundred three thousand, one hundred one".

Divisors: 1 53 59 191 2927 3127 3481 10123 11269 155131 172693 184493 559057 597257 664871 9152729 10188887 29630021 32984363 35238163 540011011 1748171239 1946077417 103142103101