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83155126306201 = 1972893491458817
BaseRepresentation
bin10010111010000100001111…
…110000111100010110011001
3101220102112220201122011001021
4102322010033300330112121
541344403144313244301
6452504534311122441
723341521356201005
oct2272041760742631
9356375821564037
1083155126306201
112454a988a4a764
1293b002b673421
133752657cc4541
141676a2ddbb705
159930c7d128a1
hex4ba10fc3c599

83155126306201 has 8 divisors (see below), whose sum is σ = 83577579683400. Its totient is φ = 82732676425728.

The previous prime is 83155126306151. The next prime is 83155126306243. The reversal of 83155126306201 is 10260362155138.

It can be written as a sum of positive squares in 4 ways, for example, as 19217527088400 + 63937599217801 = 4383780^2 + 7996099^2 .

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 83155126306201 - 245 = 47970754217369 is a prime.

It is a super-2 number, since 2×831551263062012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83155126303201) 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 7 ways as a sum of consecutive naturals, for example, 56272345 + ... + 57731161.

It is an arithmetic number, because the mean of its divisors is an integer number (10447197460425).

Almost surely, 283155126306201 is an apocalyptic number.

It is an amenable number.

83155126306201 is a deficient number, since it is larger than the sum of its proper divisors (422453377199).

83155126306201 is a wasteful number, since it uses less digits than its factorization.

83155126306201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748363.

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 83155126306201 in words is "eighty-three trillion, one hundred fifty-five billion, one hundred twenty-six million, three hundred six thousand, two hundred one".

Divisors: 1 197 289349 1458817 57001753 287386949 422107240133 83155126306201