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101426384057771 = 3723891147448147
BaseRepresentation
bin10111000011111100101011…
…100101111011010110101011
3111022010021020002120022220102
4113003330223211323112223
5101243232213304322041
6555414345415220015
730235546230450443
oct2703745345732653
9438107202508812
10101426384057771
112a354762690593
12b46114297760b
13447960bc42606
141b090c5527123
15bad4edd9809b
hex5c3f2b97b5ab

101426384057771 has 8 divisors (see below), whose sum is σ = 104211240801360. Its totient is φ = 98643822215328.

The previous prime is 101426384057711. The next prime is 101426384057813. The reversal of 101426384057771 is 177750483624101.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101426384057771 is a prime.

It is a super-3 number, since 3×1014263840577713 (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 not an unprimeable number, because it can be changed into a prime (101426384057711) 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 7 ways as a sum of consecutive naturals, for example, 573635681 + ... + 573812466.

It is an arithmetic number, because the mean of its divisors is an integer number (13026405100170).

Almost surely, 2101426384057771 is an apocalyptic number.

101426384057771 is a deficient number, since it is larger than the sum of its proper divisors (2784856743589).

101426384057771 is a wasteful number, since it uses less digits than its factorization.

101426384057771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147450573.

The product of its (nonzero) digits is 7902720, while the sum is 56.

The spelling of 101426384057771 in words is "one hundred one trillion, four hundred twenty-six billion, three hundred eighty-four million, fifty-seven thousand, seven hundred seventy-one".

Divisors: 1 37 2389 88393 1147448147 42455581439 2741253623183 101426384057771