Search a number
-
+
12101044056048 = 2432174943236951
BaseRepresentation
bin1011000000010111111001…
…1011101010111111110000
31120211211220120021222200200
42300011332123222333300
53041230414234243143
641423050510515200
72356162103222133
oct260057633527760
946754816258620
1012101044056048
113946029994742
12143531b205b00
1369a17b5c326c
142db99d57821a
1515eb98b401d3
hexb017e6eaff0

12101044056048 has 60 divisors (see below), whose sum is σ = 35858240849808. Its totient is φ = 3796405977600.

The previous prime is 12101044055999. The next prime is 12101044056091. The reversal of 12101044056048 is 84065044010121.

12101044056048 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 1 + 0 + 4 + 40 + 5 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2471616028 + ... + 2471620923.

Almost surely, 212101044056048 is an apocalyptic number.

12101044056048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12101044056048 is an abundant number, since it is smaller than the sum of its proper divisors (23757196793760).

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

12101044056048 is a wasteful number, since it uses less digits than its factorization.

12101044056048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943236982 (or 4943236973 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 12101044056048 its reverse (84065044010121), we get a palindrome (96166088066169).

The spelling of 12101044056048 in words is "twelve trillion, one hundred one billion, forty-four million, fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 4943236951 9886473902 14829710853 19772947804 29659421706 39545895608 44489132559 59318843412 79091791216 84035028167 88978265118 118637686824 168070056334 177956530236 237275373648 252105084501 336140112668 355913060472 504210169002 672280225336 711826120944 756315253503 1008420338004 1344560450672 1512630507006 2016840676008 3025261014012 4033681352016 6050522028024 12101044056048