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142105213215 = 3357150375887
BaseRepresentation
bin1000010001011000100…
…0010111100100011111
3111120210120000210101000
42010112020113210133
54312012413310330
6145140543521343
713160333245110
oct2042610274437
9446716023330
10142105213215
11552a2762a79
122365a8b9253
1310528a869a4
146c41074207
153a6a968560
hex211621791f

142105213215 has 32 divisors (see below), whose sum is σ = 288721704960. Its totient is φ = 64962382752.

The previous prime is 142105213163. The next prime is 142105213219. The reversal of 142105213215 is 512312501241.

It is a happy number.

142105213215 is a `hidden beast` number, since 1 + 421 + 0 + 5 + 21 + 3 + 215 = 666.

It is not a de Polignac number, because 142105213215 - 215 = 142105180447 is a prime.

It is a super-2 number, since 2×1421052132152 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142105213219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75186999 + ... + 75188888.

It is an arithmetic number, because the mean of its divisors is an integer number (9022553280).

Almost surely, 2142105213215 is an apocalyptic number.

142105213215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142105213215 is an abundant number, since it is smaller than the sum of its proper divisors (146616491745).

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

142105213215 is a wasteful number, since it uses less digits than its factorization.

142105213215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150375908 (or 150375902 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 142105213215 its reverse (512312501241), we get a palindrome (654417714456).

The spelling of 142105213215 in words is "one hundred forty-two billion, one hundred five million, two hundred thirteen thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 150375887 451127661 751879435 1052631209 1353382983 2255638305 3157893627 4060148949 5263156045 6766914915 9473680881 15789468135 20300744745 28421042643 47368404405 142105213215