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103542135323 = 11109244735291
BaseRepresentation
bin110000001101110010…
…1111001101000011011
3100220021000210110102212
41200123211321220123
53144023241312243
6115322215145335
710323604425434
oct1403345715033
9326230713385
10103542135323
113aa03921870
121809807524b
1399c160c7c3
14502366a48b
152a601bb318
hex181b979a1b

103542135323 has 16 divisors (see below), whose sum is σ = 114041157120. Its totient is φ = 93224887200.

The previous prime is 103542135317. The next prime is 103542135343. The reversal of 103542135323 is 323531245301.

It is a cyclic number.

It is not a de Polignac number, because 103542135323 - 26 = 103542135259 is a prime.

It is a super-3 number, since 3×1035421353233 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103542135323.

It is not an unprimeable number, because it can be changed into a prime (103542135313) 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 15 ways as a sum of consecutive naturals, for example, 2916308 + ... + 2951598.

It is an arithmetic number, because the mean of its divisors is an integer number (7127572320).

Almost surely, 2103542135323 is an apocalyptic number.

103542135323 is a deficient number, since it is larger than the sum of its proper divisors (10499021797).

103542135323 is a wasteful number, since it uses less digits than its factorization.

103542135323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37858.

The product of its (nonzero) digits is 32400, while the sum is 32.

The spelling of 103542135323 in words is "one hundred three billion, five hundred forty-two million, one hundred thirty-five thousand, three hundred twenty-three".

Divisors: 1 11 109 1199 2447 26917 35291 266723 388201 2933953 3846719 42313909 86357077 949927847 9412921393 103542135323