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6106105001106 = 2331133730503377
BaseRepresentation
bin101100011011011000000…
…1110000011010010010010
3210121201220221211002021000
41120312300032003102102
51300020300340013411
620553034513242430
71200102655066545
oct130666016032222
923551827732230
106106105001106
111a446480a6210
128274a2263416
13353a59910216
1417177399285c
15a8c7914b956
hex58db0383492

6106105001106 has 64 divisors (see below), whose sum is σ = 14846604140160. Its totient is φ = 1844844180480.

The previous prime is 6106105001063. The next prime is 6106105001107. The reversal of 6106105001106 is 6011005016016.

It is a super-2 number, since 2×61061050011062 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6106105001106.

It is not an unprimeable number, because it can be changed into a prime (6106105001107) 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, 15051511 + ... + 15451866.

It is an arithmetic number, because the mean of its divisors is an integer number (231978189690).

Almost surely, 26106105001106 is an apocalyptic number.

6106105001106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6106105001106 is an abundant number, since it is smaller than the sum of its proper divisors (8740499139054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6106105001106 is a wasteful number, since it uses less digits than its factorization.

6106105001106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30503736 (or 30503730 counting only the distinct ones).

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

The spelling of 6106105001106 in words is "six trillion, one hundred six billion, one hundred five million, one thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 337 594 674 1011 2022 3033 3707 6066 7414 9099 11121 18198 22242 33363 66726 100089 200178 30503377 61006754 91510131 183020262 274530393 335537147 549060786 671074294 823591179 1006611441 1647182358 2013222882 3019834323 6039668646 9059502969 10279638049 18119005938 20559276098 30838914147 61677828294 92516742441 113076018539 185033484882 226152037078 277550227323 339228055617 555100454646 678456111234 1017684166851 2035368333702 3053052500553 6106105001106