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142377106200 = 233527311109001
BaseRepresentation
bin1000010010011001010…
…1100011101100011000
3111121111111122101102120
42010212111203230120
54313042014344300
6145223535301240
713200144302040
oct2044625435430
9447444571376
10142377106200
115542218a21a
122371597a820
13105701c3304
146c6920c720
153a847743a0
hex2126563b18

142377106200 has 192 divisors, whose sum is σ = 506048325120. Its totient is φ = 32438400000.

The previous prime is 142377106171. The next prime is 142377106213. The reversal of 142377106200 is 2601773241.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251700 + ... + 1360700.

It is an arithmetic number, because the mean of its divisors is an integer number (2635668360).

Almost surely, 2142377106200 is an apocalyptic number.

142377106200 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 142377106200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253024162560).

142377106200 is an abundant number, since it is smaller than the sum of its proper divisors (363671218920).

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

142377106200 is a wasteful number, since it uses less digits than its factorization.

142377106200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109338 (or 109329 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 142377106200 its reverse (2601773241), we get a palindrome (144978879441).

The spelling of 142377106200 in words is "one hundred forty-two billion, three hundred seventy-seven million, one hundred six thousand, two hundred".