Search a number
-
+
31242012012 = 2234619155777
BaseRepresentation
bin11101000110001010…
…110100010101101100
32222122022100122120000
4131012022310111230
51002440423341022
622204040424300
72154130502061
oct350612642554
988568318500
1031242012012
1112282335042
12607aa78090
132c3b7a8b53
141725392c68
15c2cbb26ac
hex7462b456c

31242012012 has 60 divisors (see below), whose sum is σ = 81805258920. Its totient is φ = 10397113344.

The previous prime is 31242012007. The next prime is 31242012049. The reversal of 31242012012 is 21021024213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 122668 + ... + 278444.

It is an arithmetic number, because the mean of its divisors is an integer number (1363420982).

Almost surely, 231242012012 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 31242012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40902629460).

31242012012 is an abundant number, since it is smaller than the sum of its proper divisors (50563246908).

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

31242012012 is a wasteful number, since it uses less digits than its factorization.

31242012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156412 (or 156401 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31242012012 its reverse (21021024213), we get a palindrome (52263036225).

It can be divided in two parts, 3124201 and 2012, that added together give a palindrome (3126213).

The spelling of 31242012012 in words is "thirty-one billion, two hundred forty-two million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 619 1238 1857 2476 3714 5571 7428 11142 16713 22284 33426 50139 66852 100278 155777 200556 311554 467331 623108 934662 1401993 1869324 2803986 4205979 5607972 8411958 12617937 16823916 25235874 50471748 96425963 192851926 289277889 385703852 578555778 867833667 1157111556 1735667334 2603501001 3471334668 5207002002 7810503003 10414004004 15621006006 31242012012