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103542054112 = 2572232072831
BaseRepresentation
bin110000001101110010…
…1100101110011100000
3100220021000122100001001
41200123211211303200
53144023231212422
6115322213321344
710323603636610
oct1403345456340
9326230570031
10103542054112
113aa03876852
1218098036254
1399c15b1853
145023648a40
152a601a2227
hex181b965ce0

103542054112 has 48 divisors (see below), whose sum is σ = 234014441472. Its totient is φ = 44176152960.

The previous prime is 103542054107. The next prime is 103542054113. The reversal of 103542054112 is 211450245301.

It is a super-3 number, since 3×1035420541123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103542054113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 986464 + ... + 1086367.

It is an arithmetic number, because the mean of its divisors is an integer number (4875300864).

Almost surely, 2103542054112 is an apocalyptic number.

It is an amenable number.

103542054112 is an abundant number, since it is smaller than the sum of its proper divisors (130472387360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103542054112 is a wasteful number, since it uses less digits than its factorization.

103542054112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073071 (or 2073063 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 103542054112 its reverse (211450245301), we get a palindrome (314992299413).

The spelling of 103542054112 in words is "one hundred three billion, five hundred forty-two million, fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 223 224 446 892 1561 1784 3122 3568 6244 7136 12488 24976 49952 2072831 4145662 8291324 14509817 16582648 29019634 33165296 58039268 66330592 116078536 232157072 462241313 464314144 924482626 1848965252 3235689191 3697930504 6471378382 7395861008 12942756764 14791722016 25885513528 51771027056 103542054112