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100110060006111 = 32172221072945941
BaseRepresentation
bin10110110000110010110000…
…100100001010101011011111
3111010110102120012122010120100
4112300302300210022223133
5101110200400330143421
6552525532054352143
730041466416563521
oct2660626044125337
9433412505563510
10100110060006111
1129997490011811
12b28a00065b653
1343b2451bc280c
141aa14d1d75a11
15b8915bcbbc26
hex5b0cb090aadf

100110060006111 has 24 divisors (see below), whose sum is σ = 153110244862224. Its totient is φ = 62813851165440.

The previous prime is 100110060006109. The next prime is 100110060006133. The reversal of 100110060006111 is 111600060011001.

100110060006111 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 0 + 0 + 600 + 0 + 61 + 1 + 1 = 666.

It is not a de Polignac number, because 100110060006111 - 21 = 100110060006109 is a prime.

It is a super-2 number, since 2×1001100600061112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110060006101) 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, 32509401 + ... + 35455341.

It is an arithmetic number, because the mean of its divisors is an integer number (6379593535926).

Almost surely, 2100110060006111 is an apocalyptic number.

100110060006111 is a deficient number, since it is larger than the sum of its proper divisors (53000184856113).

100110060006111 is a wasteful number, since it uses less digits than its factorization.

100110060006111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168071 (or 3168068 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 100110060006111 in words is "one hundred trillion, one hundred ten billion, sixty million, six thousand, one hundred eleven".

Divisors: 1 3 9 17 51 153 222107 666321 1998963 2945941 3775819 8837823 11327457 26513469 33982371 50080997 150242991 450728973 654314117687 1962942353061 5888827059183 11123340000679 33370020002037 100110060006111