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2142120401 = 191019110641
BaseRepresentation
bin111111110101110…
…0010100111010001
312112021202222202122
41333223202213101
513341340323101
6552321024025
7104040502661
oct17753424721
95467688678
102142120401
119aa197843
124b9485015
13281a47885
141646d21a1
15c80d751b
hex7fae29d1

2142120401 has 8 divisors (see below), whose sum is σ = 2257096800. Its totient is φ = 2027367360.

The previous prime is 2142120371. The next prime is 2142120503. The reversal of 2142120401 is 1040212412.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2142120401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2142120401.

It is not an unprimeable number, because it can be changed into a prime (2142120301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35960 + ... + 74681.

It is an arithmetic number, because the mean of its divisors is an integer number (282137100).

Almost surely, 22142120401 is an apocalyptic number.

It is an amenable number.

2142120401 is a deficient number, since it is larger than the sum of its proper divisors (114976399).

2142120401 is a wasteful number, since it uses less digits than its factorization.

2142120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111679.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2142120401 is about 46283.0465829552. The cubic root of 2142120401 is about 1289.0842209377.

Adding to 2142120401 its reverse (1040212412), we get a palindrome (3182332813).

The spelling of 2142120401 in words is "two billion, one hundred forty-two million, one hundred twenty thousand, four hundred one".

Divisors: 1 19 1019 19361 110641 2102179 112743179 2142120401