Search a number
-
+
129517241112 = 23337372315123
BaseRepresentation
bin111100010011111010…
…1000100001100011000
3110101022021112112221000
41320213311010030120
54110222403203422
6135255511545000
712233362246020
oct1704765041430
9411267475830
10129517241112
114aa23119246
122112708b160
13c2a0b7819c
1463a9320a80
1535807a3cac
hex1e27d44318

129517241112 has 128 divisors (see below), whose sum is σ = 422278617600. Its totient is φ = 36004777344.

The previous prime is 129517241111. The next prime is 129517241167. The reversal of 129517241112 is 211142715921.

It is a happy number.

129517241112 is a `hidden beast` number, since 1 + 2 + 9 + 517 + 24 + 1 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129517241111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101618 + ... + 1213505.

It is an arithmetic number, because the mean of its divisors is an integer number (3299051700).

Almost surely, 2129517241112 is an apocalyptic number.

129517241112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129517241112 is an abundant number, since it is smaller than the sum of its proper divisors (292761376488).

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

129517241112 is a wasteful number, since it uses less digits than its factorization.

129517241112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315182 (or 2315172 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The spelling of 129517241112 in words is "one hundred twenty-nine billion, five hundred seventeen million, two hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 999 1036 1332 1512 1554 1998 2072 2331 2664 3108 3996 4662 6216 6993 7992 9324 13986 18648 27972 55944 2315123 4630246 6945369 9260492 13890738 16205861 18520984 20836107 27781476 32411722 41672214 48617583 55562952 62508321 64823444 83344428 85659551 97235166 125016642 129646888 145852749 166688856 171319102 194470332 250033284 256978653 291705498 342638204 388940664 437558247 500066568 513957306 583410996 599616857 685276408 770935959 875116494 1027914612 1166821992 1199233714 1541871918 1750232988 1798850571 2055829224 2312807877 2398467428 3083743836 3500465976 3597701142 4625615754 4796934856 5396551713 6167487672 7195402284 9251231508 10793103426 14390804568 16189655139 18502463016 21586206852 32379310278 43172413704 64758620556 129517241112