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133322202223331 = 1122933760533727
BaseRepresentation
bin11110010100000101111110…
…100000010001001011100011
3122111001110220111121101200212
4132110011332200101023203
5114433322332232121311
61151315212453204335
740040132312524262
oct3624057640211343
9574043814541625
10133322202223331
11395316a04a8200
1212b5289b9306ab
1359512ca91ac34
1424ccb86b785d9
15106303a722c8b
hex79417e8112e3

133322202223331 has 12 divisors (see below), whose sum is σ = 147044389832256. Its totient is φ = 120788343279120.

The previous prime is 133322202223303. The next prime is 133322202223337.

133322202223331 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-133322202223331 is a prime.

It is a super-2 number, since 2×1333222022233312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133322202223337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1880231411 + ... + 1880302316.

It is an arithmetic number, because the mean of its divisors is an integer number (12253699152688).

Almost surely, 2133322202223331 is an apocalyptic number.

133322202223331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133322202223331 is a deficient number, since it is larger than the sum of its proper divisors (13722187608925).

133322202223331 is a wasteful number, since it uses less digits than its factorization.

133322202223331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760534042 (or 3760534031 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 13332220 and 2223331, that added together give a palindrome (15555551).

The spelling of 133322202223331 in words is "one hundred thirty-three trillion, three hundred twenty-two billion, two hundred two million, two hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 11 121 293 3223 35453 3760533727 41365870997 455024580967 1101836382011 12120200202121 133322202223331