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131002333323101 = 167339782855959
BaseRepresentation
bin11101110010010101011011…
…100010101101111101011101
3122011211200220211222210210222
4131302111123202231331131
5114132320234312314401
61142341350251411125
736410414641320662
oct3562253342557535
9564750824883728
10131002333323101
1138817860a34319
1212839168453aa5
13581360c092586
14244c792469a69
151022a10ab4c1b
hex77255b8adf5d

131002333323101 has 4 divisors (see below), whose sum is σ = 131003116346400. Its totient is φ = 131001550299804.

The previous prime is 131002333322977. The next prime is 131002333323149. The reversal of 131002333323101 is 101323333200131.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131002333323101 is a prime.

It is a super-3 number, since 3×1310023333231013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002333223101) 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 3 ways as a sum of consecutive naturals, for example, 391260641 + ... + 391595318.

It is an arithmetic number, because the mean of its divisors is an integer number (32750779086600).

Almost surely, 2131002333323101 is an apocalyptic number.

It is an amenable number.

131002333323101 is a deficient number, since it is larger than the sum of its proper divisors (783023299).

131002333323101 is an equidigital number, since it uses as much as digits as its factorization.

131002333323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783023298.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 131002333323101 its reverse (101323333200131), we get a palindrome (232325666523232).

The spelling of 131002333323101 in words is "one hundred thirty-one trillion, two billion, three hundred thirty-three million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 167339 782855959 131002333323101