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2142203201 = 171237101869
BaseRepresentation
bin111111110101111…
…0110110101000001
312112021221012100022
41333223312311001
513341401000301
6552322503225
7104041266245
oct17753666501
95467835308
102142203201
119aa243a76
124b9504b15
13281a76478
14164714425
15c8101d1b
hex7faf6d41

2142203201 has 8 divisors (see below), whose sum is σ = 2270071080. Its totient is φ = 2014541568.

The previous prime is 2142203183. The next prime is 2142203209. The reversal of 2142203201 is 1023022412.

It can be written as a sum of positive squares in 4 ways, for example, as 556252225 + 1585950976 = 23585^2 + 39824^2 .

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-2142203201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2142203201.

It is not an unprimeable number, because it can be changed into a prime (2142203209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29906 + ... + 71963.

It is an arithmetic number, because the mean of its divisors is an integer number (283758885).

Almost surely, 22142203201 is an apocalyptic number.

It is an amenable number.

2142203201 is a deficient number, since it is larger than the sum of its proper divisors (127867879).

2142203201 is a wasteful number, since it uses less digits than its factorization.

2142203201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103123.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2142203201 is about 46283.9410703108. The cubic root of 2142203201 is about 1289.1008298389.

Adding to 2142203201 its reverse (1023022412), we get a palindrome (3165225613).

The spelling of 2142203201 in words is "two billion, one hundred forty-two million, two hundred three thousand, two hundred one".

Divisors: 1 17 1237 21029 101869 1731773 126011953 2142203201