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106830261627 = 3432812947123
BaseRepresentation
bin110001101111110010…
…1000110110101111011
3101012202011222120202120
41203133211012311323
53222242021333002
6121024355132323
710501232145465
oct1433745066573
9335664876676
10106830261627
1141340996821
12188552a40a3
13a0c68c547b
145256235135
152ba3bc5cbc
hex18df946d7b

106830261627 has 16 divisors (see below), whose sum is σ = 146271658368. Its totient is φ = 69316309440.

The previous prime is 106830261623. The next prime is 106830261661. The reversal of 106830261627 is 726162038601.

It is not a de Polignac number, because 106830261627 - 22 = 106830261623 is a prime.

It is a super-2 number, since 2×1068302616272 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106830261623) 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, 1437313 + ... + 1509810.

It is an arithmetic number, because the mean of its divisors is an integer number (9141978648).

Almost surely, 2106830261627 is an apocalyptic number.

106830261627 is a deficient number, since it is larger than the sum of its proper divisors (39441396741).

106830261627 is a wasteful number, since it uses less digits than its factorization.

106830261627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947450.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 106830261627 in words is "one hundred six billion, eight hundred thirty million, two hundred sixty-one thousand, six hundred twenty-seven".

Divisors: 1 3 43 129 281 843 12083 36249 2947123 8841369 126726289 380178867 828141563 2484424689 35610087209 106830261627