Search a number
-
+
42012103104 = 2632199366521
BaseRepresentation
bin100111001000000111…
…011101000111000000
311000102220011222001200
4213020013131013000
51142020044244404
631144453101200
73015045661416
oct471007350700
9130386158050
1042012103104
11168a9811974
128185927800
133c66ba680a
1420678d72b6
15115d48a839
hex9c81dd1c0

42012103104 has 84 divisors (see below), whose sum is σ = 121025564400. Its totient is φ = 13933624320.

The previous prime is 42012103103. The next prime is 42012103121. The reversal of 42012103104 is 40130121024.

42012103104 is a `hidden beast` number, since 420 + 1 + 210 + 31 + 0 + 4 = 666.

It is a super-2 number, since 2×420121031042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42012103103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68637 + ... + 297884.

Almost surely, 242012103104 is an apocalyptic number.

It is an amenable number.

42012103104 is an abundant number, since it is smaller than the sum of its proper divisors (79013461296).

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

42012103104 is a wasteful number, since it uses less digits than its factorization.

42012103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366738 (or 366725 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42012103104 its reverse (40130121024), we get a palindrome (82142224128).

The spelling of 42012103104 in words is "forty-two billion, twelve million, one hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 199 288 398 576 597 796 1194 1592 1791 2388 3184 3582 4776 6368 7164 9552 12736 14328 19104 28656 38208 57312 114624 366521 733042 1099563 1466084 2199126 2932168 3298689 4398252 5864336 6597378 8796504 11728672 13194756 17593008 23457344 26389512 35186016 52779024 70372032 72937679 105558048 145875358 211116096 218813037 291750716 437626074 583501432 656439111 875252148 1167002864 1312878222 1750504296 2334005728 2625756444 3501008592 4668011456 5251512888 7002017184 10503025776 14004034368 21006051552 42012103104