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132622134030301 = 4135936761133157
BaseRepresentation
bin11110001001111001111111…
…001100000010111111011101
3122101120112220112210102201011
4132021321333030002333131
5114340340112302432201
61150021433422215221
736635430054211246
oct3611717714027735
9571515815712634
10132622134030301
1139291805232133
1212a5b084424511
1359002a12c5ab6
1424a6d347a1ccd
15104ec1569a151
hex789e7f302fdd

132622134030301 has 16 divisors (see below), whose sum is σ = 135915752247408. Its totient is φ = 129331333580800.

The previous prime is 132622134030293. The next prime is 132622134030329. The reversal of 132622134030301 is 103030431226231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35591950878201 + 97030183152100 = 5965899^2 + 9850390^2 .

It is a cyclic number.

It is not a de Polignac number, because 132622134030301 - 23 = 132622134030293 is a prime.

It is a super-2 number, since 2×1326221340303012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132622134031301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 995916615 + ... + 996049771.

It is an arithmetic number, because the mean of its divisors is an integer number (8494734515463).

Almost surely, 2132622134030301 is an apocalyptic number.

It is an amenable number.

132622134030301 is a deficient number, since it is larger than the sum of its proper divisors (3293618217107).

132622134030301 is a wasteful number, since it uses less digits than its factorization.

132622134030301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143552.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 132622134030301 its reverse (103030431226231), we get a palindrome (235652565256532).

The spelling of 132622134030301 in words is "one hundred thirty-two trillion, six hundred twenty-two billion, one hundred thirty-four million, thirty thousand, three hundred one".

Divisors: 1 41 3593 6761 133157 147313 277201 5459437 24292273 478433101 900274477 995983193 19615757141 36911253557 3234686195861 132622134030301