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105112531147 = 1349931619383
BaseRepresentation
bin110000111100100110…
…0011111000011001011
3101001022110202211112011
41201321030133003023
53210232301444042
6120142114200351
710410533526061
oct1417114370313
9331273684464
10105112531147
114063a313458
1218455b830b7
139bb1a7b7c0
145132056031
152b02ebda17
hex187931f0cb

105112531147 has 8 divisors (see below), whose sum is σ = 113220851744. Its totient is φ = 97007459328.

The previous prime is 105112531129. The next prime is 105112531163. The reversal of 105112531147 is 741135211501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-105112531147 is a prime.

It is a super-2 number, since 2×1051125311472 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105112531187) 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 7 ways as a sum of consecutive naturals, for example, 744783 + ... + 874600.

It is an arithmetic number, because the mean of its divisors is an integer number (14152606468).

Almost surely, 2105112531147 is an apocalyptic number.

105112531147 is a deficient number, since it is larger than the sum of its proper divisors (8108320597).

105112531147 is a wasteful number, since it uses less digits than its factorization.

105112531147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624389.

The product of its (nonzero) digits is 4200, while the sum is 31.

Adding to 105112531147 its reverse (741135211501), we get a palindrome (846247742648).

The spelling of 105112531147 in words is "one hundred five billion, one hundred twelve million, five hundred thirty-one thousand, one hundred forty-seven".

Divisors: 1 13 4993 64909 1619383 21051979 8085579319 105112531147