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10501106060601 = 3213107818325113
BaseRepresentation
bin1001100011001111101010…
…1100100100110100111001
31101011220012010200122222100
42120303322230210310321
52334022231122414401
634200050323014013
72132452124521302
oct230637254446471
941156163618870
1010501106060601
113389548676192
12121722720a309
135b2333499710
142843831cb7a9
15133257c07b86
hex98cfab24d39

10501106060601 has 24 divisors (see below), whose sum is σ = 16336571004936. Its totient is φ = 6461618929920.

The previous prime is 10501106060591. The next prime is 10501106060623. The reversal of 10501106060601 is 10606060110501.

10501106060601 is a `hidden beast` number, since 1 + 0 + 50 + 1 + 1 + 0 + 6 + 0 + 6 + 0 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1475437784976 + 9025668275625 = 1214676^2 + 3004275^2 .

It is not a de Polignac number, because 10501106060601 - 233 = 10492516126009 is a prime.

It is a super-2 number, since 2×105011060606012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10501106060651) 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 23 ways as a sum of consecutive naturals, for example, 2901180 + ... + 5423933.

It is an arithmetic number, because the mean of its divisors is an integer number (680690458539).

Almost surely, 210501106060601 is an apocalyptic number.

It is an amenable number.

10501106060601 is a deficient number, since it is larger than the sum of its proper divisors (5835464944335).

10501106060601 is a wasteful number, since it uses less digits than its factorization.

10501106060601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335913 (or 8335910 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10501106060601 in words is "ten trillion, five hundred one billion, one hundred six million, sixty thousand, six hundred one".

Divisors: 1 3 9 13 39 117 10781 32343 97029 140153 420459 1261377 8325113 24975339 74926017 108226469 324679407 974038221 89753043253 269259129759 807777389277 1166789562289 3500368686867 10501106060601