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142343100 = 2232521091451
BaseRepresentation
bin10000111101111…
…11101110111100
3100220211210000200
420132333232330
5242414434400
622042523500
73345616314
oct1036775674
9326753020
10142343100
1173392529
123b806590
132364a9b3
1414c94444
15c76ab00
hex87bfbbc

142343100 has 108 divisors (see below), whose sum is σ = 450570120. Its totient is φ = 37584000.

The previous prime is 142343093. The next prime is 142343111. The reversal of 142343100 is 1343241.

It is a super-2 number, since 2×1423431002 = 40523116235220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 97375 + ... + 98825.

Almost surely, 2142343100 is an apocalyptic number.

142343100 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 142343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225285060).

142343100 is an abundant number, since it is smaller than the sum of its proper divisors (308227020).

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

142343100 is a wasteful number, since it uses less digits than its factorization.

142343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 142343100 is about 11930.7627585163. The cubic root of 142343100 is about 522.1301916862.

Adding to 142343100 its reverse (1343241), we get a palindrome (143686341).

The spelling of 142343100 in words is "one hundred forty-two million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 109 150 180 218 225 300 327 436 450 545 654 900 981 1090 1308 1451 1635 1962 2180 2725 2902 3270 3924 4353 4905 5450 5804 6540 7255 8175 8706 9810 10900 13059 14510 16350 17412 19620 21765 24525 26118 29020 32700 36275 43530 49050 52236 65295 72550 87060 98100 108825 130590 145100 158159 217650 261180 316318 326475 435300 474477 632636 652950 790795 948954 1305900 1423431 1581590 1897908 2372385 2846862 3163180 3953975 4744770 5693724 7117155 7907950 9489540 11861925 14234310 15815900 23723850 28468620 35585775 47447700 71171550 142343100