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142122600 = 23345231283
BaseRepresentation
bin10000111100010…
…01111001101000
3100220102120120000
420132021321220
5242340410400
622034103000
73344010414
oct1036117150
9326376500
10142122600
11732518a4
123b71aa60
13235a1519
1414c37d44
15c725600
hex8789e68

142122600 has 240 divisors, whose sum is σ = 511336320. Its totient is φ = 36547200.

The previous prime is 142122581. The next prime is 142122623. The reversal of 142122600 is 6221241.

142122600 is a `hidden beast` number, since 1 + 42 + 1 + 22 + 600 = 666.

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 502059 + ... + 502341.

It is an arithmetic number, because the mean of its divisors is an integer number (2130568).

Almost surely, 2142122600 is an apocalyptic number.

142122600 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 142122600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255668160).

142122600 is an abundant number, since it is smaller than the sum of its proper divisors (369213720).

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

142122600 is a wasteful number, since it uses less digits than its factorization.

142122600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 142122600 is about 11921.5183596721. The cubic root of 142122600 is about 521.8604462457.

Adding to 142122600 its reverse (6221241), we get a palindrome (148343841).

The spelling of 142122600 in words is "one hundred forty-two million, one hundred twenty-two thousand, six hundred".