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195142100 = 22521011392
BaseRepresentation
bin10111010000110…
…10000111010100
3111121012020122012
423220122013110
5344424021400
631210323352
74556452256
oct1350320724
9447166565
10195142100
11a017516a
1255429558
13315760ca
141bcb9cd6
15121e9d35
hexba1a1d4

195142100 has 54 divisors (see below), whose sum is σ = 430749774. Its totient is φ = 76728000.

The previous prime is 195142091. The next prime is 195142109. The reversal of 195142100 is 1241591.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (195142091) and next prime (195142109).

It can be written as a sum of positive squares in 3 ways, for example, as 52243984 + 142898116 = 7228^2 + 11954^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195142109) 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 17 ways as a sum of consecutive naturals, for example, 1403831 + ... + 1403969.

Almost surely, 2195142100 is an apocalyptic number.

195142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215374887).

195142100 is an abundant number, since it is smaller than the sum of its proper divisors (235607674).

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

195142100 is a wasteful number, since it uses less digits than its factorization.

195142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 195142100 is about 13969.3271133580. The cubic root of 195142100 is about 580.0298240708.

Adding to 195142100 its reverse (1241591), we get a palindrome (196383691).

The spelling of 195142100 in words is "one hundred ninety-five million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 139 202 278 404 505 556 695 1010 1390 2020 2525 2780 3475 5050 6950 10100 13900 14039 19321 28078 38642 56156 70195 77284 96605 140390 193210 280780 350975 386420 483025 701950 966050 1403900 1932100 1951421 3902842 7805684 9757105 19514210 39028420 48785525 97571050 195142100