Search a number
-
+
33401310100 = 22524159138079
BaseRepresentation
bin11111000110110111…
…111000101110010100
310012012210110100200021
4133012313320232110
51021401213410400
623202213554524
72261500310554
oct370667705624
9105183410607
1033401310100
1113190194714
126582045a44
1331c3c59322
14188c077164
15d0753e71a
hex7c6df8b94

33401310100 has 72 divisors (see below), whose sum is σ = 75507667200. Its totient is φ = 12813638400.

The previous prime is 33401310083. The next prime is 33401310113. The reversal of 33401310100 is 101310433.

It is a super-2 number, since 2×334013101002 (a number of 22 digits) contains 22 as substring.

It is a congruent 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, 172861 + ... + 310939.

It is an arithmetic number, because the mean of its divisors is an integer number (1048717600).

Almost surely, 233401310100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33401310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37753833600).

33401310100 is an abundant number, since it is smaller than the sum of its proper divisors (42106357100).

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

33401310100 is a wasteful number, since it uses less digits than its factorization.

33401310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138193 (or 138186 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 33401310100 its reverse (101310433), we get a palindrome (33502620533).

The spelling of 33401310100 in words is "thirty-three billion, four hundred one million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 59 82 100 118 164 205 236 295 410 590 820 1025 1180 1475 2050 2419 2950 4100 4838 5900 9676 12095 24190 48380 60475 120950 138079 241900 276158 552316 690395 1380790 2761580 3451975 5661239 6903950 8146661 11322478 13807900 16293322 22644956 28306195 32586644 40733305 56612390 81466610 113224780 141530975 162933220 203666525 283061950 334013101 407333050 566123900 668026202 814666100 1336052404 1670065505 3340131010 6680262020 8350327525 16700655050 33401310100