Search a number
-
+
31230112032 = 2533713993691
BaseRepresentation
bin11101000101011101…
…011011000100100000
32222121110222001212000
4131011131123010200
51002424402041112
622202533404000
72153624400210
oct350535330440
988543861760
1031230112032
1112276647449
126076a99600
132c391a0542
141723976240
15c2bb117dc
hex74575b120

31230112032 has 192 divisors, whose sum is σ = 104203008000. Its totient is φ = 8914095360.

The previous prime is 31230111959. The next prime is 31230112037. The reversal of 31230112032 is 23021103213.

31230112032 is a `hidden beast` number, since 312 + 301 + 1 + 20 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31230111996 and 31230112014.

It is not an unprimeable number, because it can be changed into a prime (31230112037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8459307 + ... + 8462997.

It is an arithmetic number, because the mean of its divisors is an integer number (542724000).

Almost surely, 231230112032 is an apocalyptic number.

31230112032 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 31230112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52101504000).

31230112032 is an abundant number, since it is smaller than the sum of its proper divisors (72972895968).

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

31230112032 is a wasteful number, since it uses less digits than its factorization.

31230112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31230112032 its reverse (23021103213), we get a palindrome (54251215245).

The spelling of 31230112032 in words is "thirty-one billion, two hundred thirty million, one hundred twelve thousand, thirty-two".