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192000100 = 22521920001
BaseRepresentation
bin10110111000110…
…11000001100100
3111101021121121211
423130123001210
5343123000400
631015121204
74520655025
oct1334330144
9441247554
10192000100
1199419576
1254373204
1330a15c36
141b6dcc4c
1511cc8dba
hexb71b064

192000100 has 18 divisors (see below), whose sum is σ = 416640434. Its totient is φ = 76800000.

The previous prime is 192000077. The next prime is 192000103. The reversal of 192000100 is 1000291.

It can be written as a sum of positive squares in 3 ways, for example, as 7257636 + 184742464 = 2694^2 + 13592^2 .

It is not an unprimeable number, because it can be changed into a prime (192000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 959901 + ... + 960100.

Almost surely, 2192000100 is an apocalyptic number.

192000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

192000100 is an abundant number, since it is smaller than the sum of its proper divisors (224640334).

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

192000100 is a wasteful number, since it uses less digits than its factorization.

192000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920015 (or 1920008 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 192000100 is about 13856.4100689897. The cubic root of 192000100 is about 576.8999282792.

Adding to 192000100 its reverse (1000291), we get a palindrome (193000391).

The spelling of 192000100 in words is "one hundred ninety-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 1920001 3840002 7680004 9600005 19200010 38400020 48000025 96000050 192000100