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31212223232 = 282347112787
BaseRepresentation
bin11101000100011001…
…001011101100000000
32222120020022020000212
4131010121023230000
51002410312120412
622201054133252
72153316343241
oct350431135400
988506266025
1031212223232
1112267539313
126070ab1228
132c35579058
14172143acc8
15c2a27b222
hex74464bb00

31212223232 has 72 divisors (see below), whose sum is σ = 66395137536. Its totient is φ = 14609847296.

The previous prime is 31212223183. The next prime is 31212223249. The reversal of 31212223232 is 23232221213.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 31212223198 and 31212223207.

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, 220343 + ... + 333129.

It is an arithmetic number, because the mean of its divisors is an integer number (922154688).

Almost surely, 231212223232 is an apocalyptic number.

31212223232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31212223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33197568768).

31212223232 is an abundant number, since it is smaller than the sum of its proper divisors (35182914304).

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

31212223232 is a wasteful number, since it uses less digits than its factorization.

31212223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112873 (or 112859 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

Adding to 31212223232 its reverse (23232221213), we get a palindrome (54444444445).

The spelling of 31212223232 in words is "thirty-one billion, two hundred twelve million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 128 184 188 256 368 376 736 752 1081 1472 1504 2162 2944 3008 4324 5888 6016 8648 12032 17296 34592 69184 112787 138368 225574 276736 451148 902296 1804592 2594101 3609184 5188202 5300989 7218368 10376404 10601978 14436736 20752808 21203956 28873472 41505616 42407912 83011232 84815824 121922747 166022464 169631648 243845494 332044928 339263296 487690988 664089856 678526592 975381976 1357053184 1950763952 3901527904 7803055808 15606111616 31212223232