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100006110061 = 11135382316033
BaseRepresentation
bin101110100100011010…
…1000010001101101101
3100120010121010202200021
41131020311002031231
53114303031010221
6113535302002141
710140146624044
oct1351065021555
9316117122607
10100006110061
1139459929740
121746ba16351
139579b6b870
144ba9bb155b
152904a45041
hex1748d4236d

100006110061 has 32 divisors (see below), whose sum is σ = 119859409152. Its totient is φ = 82232616960.

The previous prime is 100006110059. The next prime is 100006110079. The reversal of 100006110061 is 160011600001.

It is not a de Polignac number, because 100006110061 - 21 = 100006110059 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100006110091) 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, 6229501 + ... + 6245533.

It is an arithmetic number, because the mean of its divisors is an integer number (3745606536).

Almost surely, 2100006110061 is an apocalyptic number.

100006110061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100006110061 is a deficient number, since it is larger than the sum of its proper divisors (19853299091).

100006110061 is a wasteful number, since it uses less digits than its factorization.

100006110061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16933.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100006110061 its reverse (160011600001), we get a palindrome (260017710062).

The spelling of 100006110061 in words is "one hundred billion, six million, one hundred ten thousand, sixty-one".

Divisors: 1 11 13 53 143 583 689 823 7579 9053 10699 16033 43619 117689 176363 208429 479809 567047 849749 2292719 6237517 9347239 11046737 13195159 121514107 145146749 171537067 699343427 1886907737 7692777697 9091464551 100006110061