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142101200 = 2452563631
BaseRepresentation
bin10000111100001…
…00101011010000
3100220101111012102
420132010223100
5242334214300
622033415532
73343561133
oct1036045320
9326344172
10142101200
117323780a
123b70a5a8
1323594867
1414c3021a
15c71e0d5
hex8784ad0

142101200 has 60 divisors (see below), whose sum is σ = 342546528. Its totient is φ = 56649600.

The previous prime is 142101137. The next prime is 142101221. The reversal of 142101200 is 2101241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224885 + ... + 225515.

Almost surely, 2142101200 is an apocalyptic number.

142101200 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 142101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171273264).

142101200 is an abundant number, since it is smaller than the sum of its proper divisors (200445328).

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

142101200 is a wasteful number, since it uses less digits than its factorization.

142101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 142101200 is about 11920.6207892039. The cubic root of 142101200 is about 521.8342520207.

Adding to 142101200 its reverse (2101241), we get a palindrome (144202441).

The spelling of 142101200 in words is "one hundred forty-two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 563 631 1126 1262 2252 2524 2815 3155 4504 5048 5630 6310 9008 10096 11260 12620 14075 15775 22520 25240 28150 31550 45040 50480 56300 63100 112600 126200 225200 252400 355253 710506 1421012 1776265 2842024 3552530 5684048 7105060 8881325 14210120 17762650 28420240 35525300 71050600 142101200