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133242242331 = 31115432616749
BaseRepresentation
bin111110000010111011…
…0110100010100011011
3110201220212210012222010
41330011312310110123
54140340003223311
6141113255401003
712424603241622
oct1740566642433
9421825705863
10133242242331
1151564854850
12219a6683163
13c745813713
14663dd2c6b9
1536ec807da6
hex1f05db451b

133242242331 has 16 divisors (see below), whose sum is σ = 193932576000. Its totient is φ = 80700508320.

The previous prime is 133242242279. The next prime is 133242242359.

It is a happy number.

133242242331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133242242331 - 211 = 133242240283 is a prime.

It is a super-2 number, since 2×1332422423312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133242242531) 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, 1257456 + ... + 1359293.

It is an arithmetic number, because the mean of its divisors is an integer number (12120786000).

Almost surely, 2133242242331 is an apocalyptic number.

133242242331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133242242331 is a deficient number, since it is larger than the sum of its proper divisors (60690333669).

133242242331 is a wasteful number, since it uses less digits than its factorization.

133242242331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618306.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 133242 and 242331, that added together give a palindrome (375573).

The spelling of 133242242331 in words is "one hundred thirty-three billion, two hundred forty-two million, two hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 11 33 1543 4629 16973 50919 2616749 7850247 28784239 86352717 4037643707 12112931121 44414080777 133242242331