Search a number
-
+
133302200111100 = 223252449332965403
BaseRepresentation
bin11110010011110011010110…
…010010010000111111111100
3122110222120021112002211000100
4132103303112102100333330
5114433010401212023400
61151302104010401100
740035523533422256
oct3623632622207774
9573876245084010
10133302200111100
1139524166866239
1212b4aa39130190
13594c460983a77
1424cbc0a4a2cd6
1510627696db100
hex793cd6490ffc

133302200111100 has 108 divisors (see below), whose sum is σ = 417921348649896. Its totient is φ = 35539340588160.

The previous prime is 133302200111083. The next prime is 133302200111111. The reversal of 133302200111100 is 1111002203331.

133302200111100 is a `hidden beast` number, since 1 + 3 + 330 + 220 + 0 + 1 + 1 + 110 + 0 = 666.

133302200111100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12439002 + ... + 20526401.

Almost surely, 2133302200111100 is an apocalyptic number.

133302200111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133302200111100 is an abundant number, since it is smaller than the sum of its proper divisors (284619148538796).

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

133302200111100 is a wasteful number, since it uses less digits than its factorization.

133302200111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32969916 (or 32969906 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133302200111100 its reverse (1111002203331), we get a palindrome (134413202314431).

The spelling of 133302200111100 in words is "one hundred thirty-three trillion, three hundred two billion, two hundred million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4493 8986 13479 17972 22465 26958 40437 44930 53916 67395 80874 89860 112325 134790 161748 202185 224650 269580 336975 404370 449300 673950 808740 1010925 1347900 2021850 4043700 32965403 65930806 98896209 131861612 164827015 197792418 296688627 329654030 395584836 494481045 593377254 659308060 824135075 988962090 1186754508 1483443135 1648270150 1977924180 2472405225 2966886270 3296540300 4944810450 5933772540 7417215675 9889620900 14834431350 29668862700 148113555679 296227111358 444340667037 592454222716 740567778395 888681334074 1333022001111 1481135556790 1777362668148 2221703335185 2666044002222 2962271113580 3702838891975 4443406670370 5332088004444 6665110005555 7405677783950 8886813340740 11108516675925 13330220011110 14811355567900 22217033351850 26660440022220 33325550027775 44434066703700 66651100055550 133302200111100