Search a number
-
+
133123040321331 = 3363712200810221
BaseRepresentation
bin11110010001001100011111…
…100001111001111100110011
3122110100102211120100111112010
4132101030133201321330303
5114422041441310240311
61151043514102334003
740016552016350544
oct3621143741717463
9573312746314463
10133123040321331
1139465189829485
1212b20178a2a303
1359385ab130848
1424c32920dc4cb
15105cc80b4dda6
hex79131f879f33

133123040321331 has 8 divisors (see below), whose sum is σ = 177546190350544. Its totient is φ = 88724291919840.

The previous prime is 133123040321287. The next prime is 133123040321407.

It is a happy number.

133123040321331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 133123040321331 - 218 = 133123040059187 is a prime.

It is a super-2 number, since 2×1331230403213312 (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 (133123040321431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6100394200 + ... + 6100416021.

It is an arithmetic number, because the mean of its divisors is an integer number (22193273793818).

Almost surely, 2133123040321331 is an apocalyptic number.

133123040321331 is a deficient number, since it is larger than the sum of its proper divisors (44423150029213).

133123040321331 is a wasteful number, since it uses less digits than its factorization.

133123040321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12200813861.

The product of its (nonzero) digits is 11664, while the sum is 30.

The spelling of 133123040321331 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, forty million, three hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 3637 10911 12200810221 36602430663 44374346773777 133123040321331