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106000111051 = 3115723991127
BaseRepresentation
bin110001010111000011…
…0010101010111001011
3101010121022220120020221
41202232012111113023
53214042012023201
6120410142130511
710441532035432
oct1425606252713
9333538816227
10106000111051
1140a5533236a
1218663280a37
139cc3916c03
1451b7c9c119
152b55d954a1
hex18ae1955cb

106000111051 has 16 divisors (see below), whose sum is σ = 110578360320. Its totient is φ = 101499783840.

The previous prime is 106000111031. The next prime is 106000111057. The reversal of 106000111051 is 150111000601.

It is a cyclic number.

It is not a de Polignac number, because 106000111051 - 223 = 105991722443 is a prime.

It is a super-2 number, since 2×1060001110512 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106000111057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117650 + ... + 1208776.

It is an arithmetic number, because the mean of its divisors is an integer number (6911147520).

Almost surely, 2106000111051 is an apocalyptic number.

106000111051 is a deficient number, since it is larger than the sum of its proper divisors (4578249269).

106000111051 is a wasteful number, since it uses less digits than its factorization.

106000111051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91554.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 106000111051 its reverse (150111000601), we get a palindrome (256111111652).

The spelling of 106000111051 in words is "one hundred six billion, one hundred eleven thousand, fifty-one".

Divisors: 1 31 157 239 4867 7409 37523 91127 1163213 2824937 14306939 21779353 443515109 675159943 3419358421 106000111051