Search a number
-
+
101412123354 = 23246112221273
BaseRepresentation
bin101111001110010100…
…0100011001011011010
3100200202120210122022200
41132130220203023122
53130143000421404
6114331005431030
710220041553133
oct1363450431332
9320676718280
10101412123354
113a0105552a3
12177a286b476
1397422443a9
144ca080ac8a
1529881c6839
hex179ca232da

101412123354 has 24 divisors (see below), whose sum is σ = 220202914932. Its totient is φ = 33730710720.

The previous prime is 101412123353. The next prime is 101412123361. The reversal of 101412123354 is 453321214101.

101412123354 is a `hidden beast` number, since 10 + 1 + 412 + 1 + 233 + 5 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90434322729 + 10977800625 = 300723^2 + 104775^2 .

It is not an unprimeable number, because it can be changed into a prime (101412123353) 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 11 ways as a sum of consecutive naturals, for example, 6102339 + ... + 6118934.

Almost surely, 2101412123354 is an apocalyptic number.

101412123354 is an abundant number, since it is smaller than the sum of its proper divisors (118790791578).

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

101412123354 is a wasteful number, since it uses less digits than its factorization.

101412123354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12221742 (or 12221739 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 101412123354 its reverse (453321214101), we get a palindrome (554733337455).

The spelling of 101412123354 in words is "one hundred one billion, four hundred twelve million, one hundred twenty-three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 461 922 1383 2766 4149 8298 12221273 24442546 36663819 73327638 109991457 219982914 5634006853 11268013706 16902020559 33804041118 50706061677 101412123354