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61050100085 = 5132937875333
BaseRepresentation
bin111000110110110111…
…101001100101110101
312211120200112102020222
4320312313221211311
52000012311200320
644013535304125
74260610200662
oct706667514565
9184520472228
1061050100085
112398920a877
12b9b967b045
1359ac1891a0
142d52122a69
1518c4a2d825
hexe36de9975

61050100085 has 32 divisors (see below), whose sum is σ = 83821983840. Its totient is φ = 42352063488.

The previous prime is 61050100073. The next prime is 61050100087. The reversal of 61050100085 is 58000105016.

It can be written as a sum of positive squares in 16 ways, for example, as 28682132164 + 32367967921 = 169358^2 + 179911^2 .

It is a cyclic number.

It is not a de Polignac number, because 61050100085 - 214 = 61050083701 is a prime.

It is a super-2 number, since 2×610501000852 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61050100087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367922 + ... + 507411.

It is an arithmetic number, because the mean of its divisors is an integer number (2619436995).

Almost surely, 261050100085 is an apocalyptic number.

61050100085 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61050100085 is a deficient number, since it is larger than the sum of its proper divisors (22771883755).

61050100085 is a wasteful number, since it uses less digits than its factorization.

61050100085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875417.

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 61050100085 in words is "sixty-one billion, fifty million, one hundred thousand, eighty-five".

Divisors: 1 5 13 29 37 65 145 185 377 481 1073 1885 2405 5365 13949 69745 875333 4376665 11379329 25384657 32387321 56896645 126923285 161936605 330000541 421035173 939232309 1650002705 2105175865 4696161545 12210020017 61050100085