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142311300 = 223524710093
BaseRepresentation
bin10000111101101…
…11111110000100
3100220210011101220
420132313332010
5242412430200
622042120340
73345424515
oct1036677604
9326704356
10142311300
117337064a
123b7b00b0
1323639391
1414c86a0c
15c7614a0
hex87b7f84

142311300 has 72 divisors (see below), whose sum is σ = 420556416. Its totient is φ = 37138560.

The previous prime is 142311269. The next prime is 142311313. The reversal of 142311300 is 3113241.

It is a super-2 number, since 2×1423113002 = 40505012215380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142311300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9054 + ... + 19146.

Almost surely, 2142311300 is an apocalyptic number.

142311300 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 142311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210278208).

142311300 is an abundant number, since it is smaller than the sum of its proper divisors (278245116).

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

142311300 is a wasteful number, since it uses less digits than its factorization.

142311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10157 (or 10150 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 142311300 is about 11929.4299947650. The cubic root of 142311300 is about 522.0913068212.

Adding to 142311300 its reverse (3113241), we get a palindrome (145424541).

The spelling of 142311300 in words is "one hundred forty-two million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 10093 14100 20186 30279 40372 50465 60558 100930 121116 151395 201860 252325 302790 474371 504650 605580 756975 948742 1009300 1423113 1513950 1897484 2371855 2846226 3027900 4743710 5692452 7115565 9487420 11859275 14231130 23718550 28462260 35577825 47437100 71155650 142311300