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2142100031 = 31478314447
BaseRepresentation
bin111111110101101…
…1101101000111111
312112021201221211012
41333223131220333
513341334200111
6552320345435
7104040356411
oct17753355077
95467657735
102142100031
119aa183505
124b947527b
13281a3b516
141646c89b1
15c80d148b
hex7fadda3f

2142100031 has 8 divisors (see below), whose sum is σ = 2211815424. Its totient is φ = 2072423160.

The previous prime is 2142100027. The next prime is 2142100039. The reversal of 2142100031 is 1300012412.

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

It is not a de Polignac number, because 2142100031 - 22 = 2142100027 is a prime.

It is a super-2 number, since 2×21421000312 = 9177185085620401922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2142099979 and 2142100015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142100039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141050 + ... + 155496.

It is an arithmetic number, because the mean of its divisors is an integer number (276476928).

Almost surely, 22142100031 is an apocalyptic number.

2142100031 is a deficient number, since it is larger than the sum of its proper divisors (69715393).

2142100031 is a wasteful number, since it uses less digits than its factorization.

2142100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19261.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2142100031 is about 46282.8265234525. The cubic root of 2142100031 is about 1289.0801348417.

Adding to 2142100031 its reverse (1300012412), we get a palindrome (3442112443).

The spelling of 2142100031 in words is "two billion, one hundred forty-two million, one hundred thousand, thirty-one".

Divisors: 1 31 4783 14447 148273 447857 69100001 2142100031