Search a number
-
+
133332120210100 = 225271079917638157
BaseRepresentation
bin11110010100001111001101…
…101010011000101010110100
3122111002102111201001022211011
4132110033031222120222310
5114434003140233210400
61151323532550122004
740040633143156510
oct3624171552305264
9574072451038734
10133332120210100
113953591a996489
1212b547a9350304
13595221b621866
1424cd44806d140
15106341b2d08ba
hex7943cda98ab4

133332120210100 has 72 divisors (see below), whose sum is σ = 330694296710400. Its totient is φ = 45709634037120.

The previous prime is 133332120209971. The next prime is 133332120210103. The reversal of 133332120210100 is 1012021233331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133332120210103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1259779 + ... + 16378378.

It is an arithmetic number, because the mean of its divisors is an integer number (4592976343200).

Almost surely, 2133332120210100 is an apocalyptic number.

133332120210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133332120210100 is an abundant number, since it is smaller than the sum of its proper divisors (197362176500300).

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

133332120210100 is a wasteful number, since it uses less digits than its factorization.

133332120210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17648977 (or 17648970 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 133332120210100 its reverse (1012021233331), we get a palindrome (134344141443431).

The spelling of 133332120210100 in words is "one hundred thirty-three trillion, three hundred thirty-two billion, one hundred twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 10799 21598 43196 53995 75593 107990 151186 215980 269975 302372 377965 539950 755930 1079900 1511860 1889825 3779650 7559300 17638157 35276314 70552628 88190785 123467099 176381570 246934198 352763140 440953925 493868396 617335495 881907850 1234670990 1763815700 2469341980 3086677475 6173354950 12346709900 190474457443 380948914886 761897829772 952372287215 1333321202101 1904744574430 2666642404202 3809489148860 4761861436075 5333284808404 6666606010505 9523722872150 13333212021010 19047445744300 26666424042020 33333030052525 66666060105050 133332120210100