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132212202010213 = 1314845016850901
BaseRepresentation
bin11110000011111100001101…
…010101011111011001100101
3122100010100210200101011111111
4132003330031111133121211
5114312131042203311323
61145105240324305021
736564005421426403
oct3603741525373145
9570110720334444
10132212202010213
11391439752a7076
12129b373ab42171
1358a07320ac4c0
1424911674d4473
151044221d70c0d
hex783f0d55f665

132212202010213 has 8 divisors (see below), whose sum is σ = 142382488091256. Its totient is φ = 122041932600000.

The previous prime is 132212202010177. The next prime is 132212202010253. The reversal of 132212202010213 is 312010202212231.

It can be written as a sum of positive squares in 4 ways, for example, as 9950132110689 + 122262069899524 = 3154383^2 + 11057218^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 132212202010213 - 225 = 132212168455781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132212202010253) 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, 15873063 + ... + 22723963.

It is an arithmetic number, because the mean of its divisors is an integer number (17797811011407).

Almost surely, 2132212202010213 is an apocalyptic number.

132212202010213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132212202010213 is a deficient number, since it is larger than the sum of its proper divisors (10170286081043).

132212202010213 is a wasteful number, since it uses less digits than its factorization.

132212202010213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335415.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 132212202010213 its reverse (312010202212231), we get a palindrome (444222404222444).

The spelling of 132212202010213 in words is "one hundred thirty-two trillion, two hundred twelve billion, two hundred two million, ten thousand, two hundred thirteen".

Divisors: 1 13 1484501 6850901 19298513 89061713 10170169385401 132212202010213