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133423000100 = 225213182356299
BaseRepresentation
bin111110001000010100…
…0010110101000100100
3110202101110220200000022
41330100220112220210
54141222242000400
6141143233534312
712432226534325
oct1742050265044
9422343820008
10133423000100
1151647894835
1221a37114398
13c7740c1490
146659d4244c
15370d610b85
hex1f10a16a24

133423000100 has 72 divisors (see below), whose sum is σ = 311975865600. Its totient is φ = 49235978880.

The previous prime is 133423000031. The next prime is 133423000111. The reversal of 133423000100 is 1000324331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2341751 + ... + 2398049.

Almost surely, 2133423000100 is an apocalyptic number.

133423000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133423000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155987932800).

133423000100 is an abundant number, since it is smaller than the sum of its proper divisors (178552865500).

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

133423000100 is a wasteful number, since it uses less digits than its factorization.

133423000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58149 (or 58142 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 133423000100 its reverse (1000324331), we get a palindrome (134423324431).

The spelling of 133423000100 in words is "one hundred thirty-three billion, four hundred twenty-three million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1823 3646 7292 9115 18230 23699 36460 45575 47398 56299 91150 94796 112598 118495 182300 225196 236990 281495 473980 562990 592475 731887 1125980 1184950 1407475 1463774 2369900 2814950 2927548 3659435 5629900 7318870 14637740 18297175 36594350 73188700 102633077 205266154 410532308 513165385 1026330770 1334230001 2052661540 2565826925 2668460002 5131653850 5336920004 6671150005 10263307700 13342300010 26684600020 33355750025 66711500050 133423000100