Search a number
-
+
13131023110440 = 23352329164055761
BaseRepresentation
bin1011111100010100110111…
…1101111101000100101000
31201111022110120121011120120
42333011031331331010220
53210114313404013230
643532150404323240
72523453664562124
oct277051575750450
951438416534516
1013131023110440
114202921247944
121580a690a3520
137433337cc231
1433578b336584
1517b87c244310
hexbf14df7d128

13131023110440 has 128 divisors (see below), whose sum is σ = 42523253510400. Its totient is φ = 3233867141120.

The previous prime is 13131023110433. The next prime is 13131023110451. The reversal of 13131023110440 is 4401132013131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13131023110440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81947841 + ... + 82107920.

It is an arithmetic number, because the mean of its divisors is an integer number (332212918050).

Almost surely, 213131023110440 is an apocalyptic number.

13131023110440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131023110440 is an abundant number, since it is smaller than the sum of its proper divisors (29392230399960).

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

13131023110440 is a wasteful number, since it uses less digits than its factorization.

13131023110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164055827 (or 164055823 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13131023110440 its reverse (4401132013131), we get a palindrome (17532155123571).

The spelling of 13131023110440 in words is "thirteen trillion, one hundred thirty-one billion, twenty-three million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 29 30 40 46 58 60 69 87 92 115 116 120 138 145 174 184 230 232 276 290 345 348 435 460 552 580 667 690 696 870 920 1160 1334 1380 1740 2001 2668 2760 3335 3480 4002 5336 6670 8004 10005 13340 16008 20010 26680 40020 80040 164055761 328111522 492167283 656223044 820278805 984334566 1312446088 1640557610 1968669132 2460836415 3281115220 3773282503 3937338264 4757617069 4921672830 6562230440 7546565006 9515234138 9843345660 11319847509 14272851207 15093130012 18866412515 19030468276 19686691320 22639695018 23788085345 28545702414 30186260024 37732825030 38060936552 45279390036 47576170690 56599237545 57091404828 71364256035 75465650060 90558780072 95152341380 109425192587 113198475090 114182809656 142728512070 150931300120 190304682760 218850385174 226396950180 285457024140 328275577761 437700770348 452793900360 547125962935 570914048280 656551155522 875401540696 1094251925870 1313102311044 1641377888805 2188503851740 2626204622088 3282755777610 4377007703480 6565511555220 13131023110440