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131223231232 = 282961289763
BaseRepresentation
bin111101000110110000…
…0111001101100000000
3110112201011122211102021
41322031200321230000
54122221121344412
6140141053131224
712323556030112
oct1721540715400
9415634584367
10131223231232
1150719102935
1221522489b14
13c4b34410b2
1464cbb253b2
15363043c607
hex1e8d839b00

131223231232 has 72 divisors (see below), whose sum is σ = 275409091440. Its totient is φ = 62310420480.

The previous prime is 131223231199. The next prime is 131223231253. The reversal of 131223231232 is 232132322131.

It is a junction number, because it is equal to n+sod(n) for n = 131223231197 and 131223231206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307983 + ... + 597745.

It is an arithmetic number, because the mean of its divisors is an integer number (3825126270).

Almost surely, 2131223231232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131223231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137704545720).

131223231232 is an abundant number, since it is smaller than the sum of its proper divisors (144185860208).

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

131223231232 is an equidigital number, since it uses as much as digits as its factorization.

131223231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289869 (or 289855 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

Adding to 131223231232 its reverse (232132322131), we get a palindrome (363355553363).

The spelling of 131223231232 in words is "one hundred thirty-one billion, two hundred twenty-three million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 128 232 244 256 464 488 928 976 1769 1856 1952 3538 3712 3904 7076 7424 7808 14152 15616 28304 56608 113216 226432 289763 452864 579526 1159052 2318104 4636208 8403127 9272416 16806254 17675543 18544832 33612508 35351086 37089664 67225016 70702172 74179328 134450032 141404344 268900064 282808688 512590747 537800128 565617376 1025181494 1075600256 1131234752 2050362988 2151200512 2262469504 4100725976 4524939008 8201451952 16402903904 32805807808 65611615616 131223231232