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133023320331 = 31122123182209
BaseRepresentation
bin111101111100011001…
…1101100100100001011
3110201100121211211102220
41323320303230210023
54134412432222311
6141035435225123
712416304365226
oct1737063544413
9421317754386
10133023320331
1151462218480
12219452a81a3
13c70c362885
14661cc225bd
1536d84b2206
hex1ef8cec90b

133023320331 has 16 divisors (see below), whose sum is σ = 193498273920. Its totient is φ = 80616107520.

The previous prime is 133023320299. The next prime is 133023320347.

133023320331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133023320331 - 25 = 133023320299 is a prime.

It is a super-2 number, since 2×1330233203312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133023320231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638955 + ... + 821163.

It is an arithmetic number, because the mean of its divisors is an integer number (12093642120).

Almost surely, 2133023320331 is an apocalyptic number.

133023320331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133023320331 is a deficient number, since it is larger than the sum of its proper divisors (60474953589).

133023320331 is a wasteful number, since it uses less digits than its factorization.

133023320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204346.

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 133023 and 320331, that added together give a palindrome (453354).

The spelling of 133023320331 in words is "one hundred thirty-three billion, twenty-three million, three hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 11 33 22123 66369 182209 243353 546627 730059 2004299 6012897 4031009707 12093029121 44341106777 133023320331