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142166100 = 22352473887
BaseRepresentation
bin10000111100101…
…00100001010100
3100220111210020010
420132110201110
5242343303400
622035040220
73344251266
oct1036244124
9326453203
10142166100
117328154a
123b740070
13235b826b
1414c49b36
15c733450
hex8794854

142166100 has 36 divisors (see below), whose sum is σ = 411334784. Its totient is φ = 37910880.

The previous prime is 142166081. The next prime is 142166107. The reversal of 142166100 is 1661241.

It is a super-2 number, since 2×1421661002 = 40422399978420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142166107) by changing a digit.

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, 236644 + ... + 237243.

Almost surely, 2142166100 is an apocalyptic number.

142166100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142166100 is an abundant number, since it is smaller than the sum of its proper divisors (269168684).

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

142166100 is a wasteful number, since it uses less digits than its factorization.

142166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473904 (or 473897 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 142166100 is about 11923.3426521257. The cubic root of 142166100 is about 521.9136834127.

The spelling of 142166100 in words is "one hundred forty-two million, one hundred sixty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 473887 947774 1421661 1895548 2369435 2843322 4738870 5686644 7108305 9477740 11847175 14216610 23694350 28433220 35541525 47388700 71083050 142166100