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133322141223331 = 23891012412675753
BaseRepresentation
bin11110010100000101111010…
…110111100100100110100011
3122111001110202020211021102121
4132110011322313210212203
5114433322221123121311
61151315202433525111
740040130642163564
oct3624057267444643
9574043666737377
10133322141223331
113953166a023a85
1212b52883413797
1359512bb0b0a68
1424ccb7ca1a16b
1510630351c3b71
hex79417ade49a3

133322141223331 has 32 divisors (see below), whose sum is σ = 142664353349760. Its totient is φ = 124326140928000.

The previous prime is 133322141223289. The next prime is 133322141223361.

133322141223331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 133322141223331 - 221 = 133322139126179 is a prime.

It is a super-2 number, since 2×1333221412233312 (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 (133322141223361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48488151 + ... + 51163903.

It is an arithmetic number, because the mean of its divisors is an integer number (4458261042180).

Almost surely, 2133322141223331 is an apocalyptic number.

133322141223331 is a deficient number, since it is larger than the sum of its proper divisors (9342212126429).

133322141223331 is a wasteful number, since it uses less digits than its factorization.

133322141223331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676207.

The product of its digits is 46656, while the sum is 34.

The spelling of 133322141223331 in words is "one hundred thirty-three trillion, three hundred twenty-two billion, one hundred forty-one million, two hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 23 89 101 241 2047 2323 5543 8989 21449 24341 206747 493327 559843 2166349 2675753 49826027 61542319 238142017 270251053 644856473 5477266391 6215774219 14831698879 24052343717 57392226097 65130503773 553203905491 1320021200231 1498001586779 5796614835797 133322141223331