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10132341322313 = 7192329631117889
BaseRepresentation
bin1001001101110001111010…
…0110101111001001001001
31022212122100021202222212102
42103130132212233021021
52312002013334303223
633314422222523145
72064015602126240
oct223343646571111
938778307688772
1010132341322313
113257113588271
1211778707364b5
13586625112872
1427059d541957
151288735db928
hex9371e9af249

10132341322313 has 32 divisors (see below), whose sum is σ = 12723555686400. Its totient is φ = 7867373792256.

The previous prime is 10132341322309. The next prime is 10132341322321. The reversal of 10132341322313 is 31322314323101.

It is a cyclic number.

It is not a de Polignac number, because 10132341322313 - 22 = 10132341322309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10132341322333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8504873 + ... + 9622761.

It is an arithmetic number, because the mean of its divisors is an integer number (397611115200).

Almost surely, 210132341322313 is an apocalyptic number.

It is an amenable number.

10132341322313 is a deficient number, since it is larger than the sum of its proper divisors (2591214364087).

10132341322313 is a wasteful number, since it uses less digits than its factorization.

10132341322313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120901.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 10132341322313 its reverse (31322314323101), we get a palindrome (41454655645414).

The spelling of 10132341322313 in words is "ten trillion, one hundred thirty-two billion, three hundred forty-one million, three hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 7 19 23 133 161 437 2963 3059 20741 56297 68149 394079 477043 1117889 1294831 7825223 9063817 21239891 25711447 148679237 179980129 488517493 3312305107 3419622451 23186135749 62933797033 76183017461 440536579231 533281122227 1447477331759 10132341322313