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135332444233531 = 10117919341992567
BaseRepresentation
bin11110110001010110001010…
…010000111101111100111011
3122202011122200201121021101001
4132301112022100331330323
5120214241321210433111
61155454511104105431
740335306061631356
oct3661261220757473
9582148621537331
10135332444233531
113a137192729926
1213218401905277
135a68a4404556c
14255c1a798729d
15109a4929651c1
hex7b158a43df3b

135332444233531 has 32 divisors (see below), whose sum is σ = 138479210150400. Its totient is φ = 132235788748800.

The previous prime is 135332444233397. The next prime is 135332444233543.

135332444233531 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 135332444233531 - 243 = 126536351211323 is a prime.

It is a super-2 number, since 2×1353324442335312 (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 (135332444230531) 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, 1461948210 + ... + 1462040776.

It is an arithmetic number, because the mean of its divisors is an integer number (4327475317200).

Almost surely, 2135332444233531 is an apocalyptic number.

135332444233531 is a deficient number, since it is larger than the sum of its proper divisors (3146765916869).

135332444233531 is a wasteful number, since it uses less digits than its factorization.

135332444233531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93459.

The product of its digits is 4665600, while the sum is 46.

The spelling of 135332444233531 in words is "one hundred thirty-five trillion, three hundred thirty-two billion, four hundred forty-four million, two hundred thirty-three thousand, five hundred thirty-one".

Divisors: 1 101 179 193 419 18079 19493 34547 42319 75001 80867 92567 3489247 7575101 8167567 9349267 14475193 16569493 17865431 38785573 1461994493 1673518793 1804408531 3197912149 3917342873 6942617567 7485615589 322989127049 701204374267 756047174489 1339925190431 135332444233531