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6005110010061 = 33175185980127
BaseRepresentation
bin101011101100010110001…
…1100101111000011001101
3210021002020102220221220010
41113120230130233003031
51241341431130310221
620434413124143433
71156566136611531
oct127305434570315
923232212827803
106005110010061
111a05831058668
1280b9b7237b79
13347382c284a6
1416a912729bc1
15a63178bec76
hex5762c72f0cd

6005110010061 has 16 divisors (see below), whose sum is σ = 8276103200768. Its totient is φ = 3869105670000.

The previous prime is 6005110010059. The next prime is 6005110010129. The reversal of 6005110010061 is 1600100115006.

It is not a de Polignac number, because 6005110010061 - 21 = 6005110010059 is a prime.

It is a super-2 number, since 2×60051100100612 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005110010021) 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 15 ways as a sum of consecutive naturals, for example, 42920221 + ... + 43059906.

It is an arithmetic number, because the mean of its divisors is an integer number (517256450048).

Almost surely, 26005110010061 is an apocalyptic number.

It is an amenable number.

6005110010061 is a deficient number, since it is larger than the sum of its proper divisors (2270993190707).

6005110010061 is a wasteful number, since it uses less digits than its factorization.

6005110010061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85980912.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 6005110010061 its reverse (1600100115006), we get a palindrome (7605210125067).

The spelling of 6005110010061 in words is "six trillion, five billion, one hundred ten million, ten thousand, sixty-one".

Divisors: 1 3 31 93 751 2253 23281 69843 85980127 257940381 2665383937 7996151811 64571075377 193713226131 2001703336687 6005110010061