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133001220222200 = 23521125495918191
BaseRepresentation
bin11110001111011011000010…
…011111000110110011111000
3122102220210101201100021101202
4132033123002133012303320
5114413042444334102300
61150511530031033332
740005010136526641
oct3617330237066370
9572823351307352
10133001220222200
1139418556531a00
1212b0063b66b848
135929c65b39b55
1424bb41716a6c8
151059a00ebead5
hex78f6c27c6cf8

133001220222200 has 72 divisors (see below), whose sum is σ = 339895060584240. Its totient is φ = 48364080072000.

The previous prime is 133001220222187. The next prime is 133001220222203. The reversal of 133001220222200 is 2222022100331.

It is a happy number.

133001220222200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1330012202222003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133001220222203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2747934896 + ... + 2747983295.

Almost surely, 2133001220222200 is an apocalyptic number.

133001220222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133001220222200 is an abundant number, since it is smaller than the sum of its proper divisors (206893840362040).

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

133001220222200 is a wasteful number, since it uses less digits than its factorization.

133001220222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495918229 (or 5495918209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 133001220222200 its reverse (2222022100331), we get a palindrome (135223242322531).

The spelling of 133001220222200 in words is "one hundred thirty-three trillion, one billion, two hundred twenty million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 5495918191 10991836382 21983672764 27479590955 43967345528 54959181910 60455100101 109918363820 120910200202 137397954775 219836727640 241820400404 274795909550 302275500505 483640800808 549591819100 604551001010 665006101111 1099183638200 1209102002020 1330012202222 1511377502525 2418204004040 2660024404444 3022755005050 3325030505555 5320048808888 6045510010100 6650061011110 12091020020200 13300122022220 16625152527775 26600244044440 33250305055550 66500610111100 133001220222200