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2042314125 = 353172911047
BaseRepresentation
bin111100110111011…
…0011110110001101
312021022222022021220
41321232303312031
513140313023000
6534353513553
7101416245405
oct17156636615
95238868256
102042314125
11958918915
1248bb728b9
132671712c7
14155351805
15be4701a0
hex79bb3d8d

2042314125 has 64 divisors (see below), whose sum is σ = 3722734080. Its totient is φ = 989721600.

The previous prime is 2042314121. The next prime is 2042314207. The reversal of 2042314125 is 5214132402.

It is not a de Polignac number, because 2042314125 - 22 = 2042314121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2042314095 and 2042314104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042314121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179352 + ... + 190398.

It is an arithmetic number, because the mean of its divisors is an integer number (58167720).

Almost surely, 22042314125 is an apocalyptic number.

2042314125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2042314125 is a deficient number, since it is larger than the sum of its proper divisors (1680419955).

2042314125 is a wasteful number, since it uses less digits than its factorization.

2042314125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111 (or 11101 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2042314125 is about 45191.9696959537. The cubic root of 2042314125 is about 1268.7445226130.

Adding to 2042314125 its reverse (5214132402), we get a palindrome (7256446527).

The spelling of 2042314125 in words is "two billion, forty-two million, three hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 25 29 51 75 85 87 125 145 255 375 425 435 493 725 1275 1479 2125 2175 2465 3625 6375 7395 10875 11047 12325 33141 36975 55235 61625 165705 184875 187799 276175 320363 563397 828525 938995 961089 1380875 1601815 2816985 4142625 4694975 4805445 5446171 8009075 14084925 16338513 23474875 24027225 27230855 40045375 70424625 81692565 120136125 136154275 408462825 680771375 2042314125