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2142104020 = 225715300743
BaseRepresentation
bin111111110101101…
…1110100111010100
312112021202011021221
41333223132213110
513341334312040
6552320420124
7104040404140
oct17753364724
95467664257
102142104020
119aa186501
124b9477644
13281a40294
141646ca220
15c80d274a
hex7fade9d4

2142104020 has 24 divisors (see below), whose sum is σ = 5141049984. Its totient is φ = 734435616.

The previous prime is 2142103991. The next prime is 2142104071. The reversal of 2142104020 is 204012412.

It is a junction number, because it is equal to n+sod(n) for n = 2142103985 and 2142104003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7650232 + ... + 7650511.

It is an arithmetic number, because the mean of its divisors is an integer number (214210416).

Almost surely, 22142104020 is an apocalyptic number.

2142104020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142104020 is an abundant number, since it is smaller than the sum of its proper divisors (2998945964).

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

2142104020 is a wasteful number, since it uses less digits than its factorization.

2142104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15300759 (or 15300757 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2142104020 is about 46282.8696171705. The cubic root of 2142104020 is about 1289.0809350125.

Adding to 2142104020 its reverse (204012412), we get a palindrome (2346116432).

The spelling of 2142104020 in words is "two billion, one hundred forty-two million, one hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 15300743 30601486 61202972 76503715 107105201 153007430 214210402 306014860 428420804 535526005 1071052010 2142104020