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132141303141231 = 3216192392206163
BaseRepresentation
bin11110000010111010001011…
…011011110001001101101111
3122022212120210121122110012010
4132002322023123301031233
5114310000342101004411
61145012513203412303
736555615451121436
oct3602721333611557
9568776717573163
10132141303141231
11391168a278547a
12129a1a53084093
135896b43676217
14248b95d37811d
1510424728a87a6
hex782e8b6f136f

132141303141231 has 16 divisors (see below), whose sum is σ = 176289093953280. Its totient is φ = 88043866081920.

The previous prime is 132141303141203. The next prime is 132141303141259.

It is a happy number.

132141303141231 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (132141303141203) and next prime (132141303141259).

It is not a de Polignac number, because 132141303141231 - 226 = 132141236032367 is a prime.

It is a super-2 number, since 2×1321413031412312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132141303141931) 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, 58793356 + ... + 60999518.

It is an arithmetic number, because the mean of its divisors is an integer number (11018068372080).

Almost surely, 2132141303141231 is an apocalyptic number.

132141303141231 is a deficient number, since it is larger than the sum of its proper divisors (44147790812049).

132141303141231 is a wasteful number, since it uses less digits than its factorization.

132141303141231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217566.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 13214130 and 3141231, that added together give a palindrome (16355361).

The spelling of 132141303141231 in words is "one hundred thirty-two trillion, one hundred forty-one billion, three hundred three million, one hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 3 2161 6483 9239 27717 2206163 6618489 19965479 59896437 4767518243 14302554729 20382739957 61148219871 44047101047077 132141303141231