Search a number
-
+
13012024424112 = 24327128310061383
BaseRepresentation
bin1011110101011001100100…
…0101111111011010110000
31201001221022100120120012200
42331112121011333122300
53201142111223032422
643401350321423200
72512042044461430
oct275263105773260
951057270516180
1013012024424112
11416740662358a
12156199879ab00
1373504abc1c7c
1432dadcda02c0
1517871512e2ac
hexbd59917f6b0

13012024424112 has 120 divisors (see below), whose sum is σ = 41650266188544. Its totient is φ = 3714823216512.

The previous prime is 13012024424111. The next prime is 13012024424141. The reversal of 13012024424112 is 21142442021031.

13012024424112 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 2 + 0 + 244 + 2 + 411 + 2 = 666.

It is a super-2 number, since 2×130120244241122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13012024424111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3737428 + ... + 6323955.

Almost surely, 213012024424112 is an apocalyptic number.

13012024424112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13012024424112 is an abundant number, since it is smaller than the sum of its proper divisors (28638241764432).

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

13012024424112 is a wasteful number, since it uses less digits than its factorization.

13012024424112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10062687 (or 10062678 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13012024424112 its reverse (21142442021031), we get a palindrome (34154466445143).

The spelling of 13012024424112 in words is "thirteen trillion, twelve billion, twenty-four million, four hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1283 2566 3849 5132 7698 8981 10264 11547 15396 17962 20528 23094 26943 30792 35924 46188 53886 61584 71848 80829 92376 107772 143696 161658 184752 215544 323316 431088 646632 1293264 10061383 20122766 30184149 40245532 60368298 70429681 80491064 90552447 120736596 140859362 160982128 181104894 211289043 241473192 281718724 362209788 422578086 482946384 563437448 633867129 724419576 845156172 1126874896 1267734258 1448839152 1690312344 2535468516 3380624688 5070937032 10141874064 12908754389 25817508778 38726263167 51635017556 77452526334 90361280723 103270035112 116178789501 154905052668 180722561446 206540070224 232357579002 271083842169 309810105336 361445122892 464715158004 542167684338 619620210672 722890245784 813251526507 929430316008 1084335368676 1445780491568 1626503053014 1858860632016 2168670737352 3253006106028 4337341474704 6506012212056 13012024424112