Search a number
-
+
32131221000 = 2335331477351
BaseRepresentation
bin11101111011001010…
…111000011000001000
310001221021120010222020
4131323022320120020
51011301043033000
622432203324440
72215145605104
oct357312703010
9101837503866
1032131221000
11126992669aa
126288820720
133050a94908
1417ab500904
15c80cabba0
hex77b2b8608

32131221000 has 256 divisors, whose sum is σ = 105699409920. Its totient is φ = 8114400000.

The previous prime is 32131220963. The next prime is 32131221019. The reversal of 32131221000 is 12213123.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 4367325 + ... + 4374675.

It is an arithmetic number, because the mean of its divisors is an integer number (412888320).

Almost surely, 232131221000 is an apocalyptic number.

32131221000 is a gapful number since it is divisible by the number (30) 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 32131221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52849704960).

32131221000 is an abundant number, since it is smaller than the sum of its proper divisors (73568188920).

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

32131221000 is a wasteful number, since it uses less digits than its factorization.

32131221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7453 (or 7439 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 32131221000 its reverse (12213123), we get a palindrome (32143434123).

The spelling of 32131221000 in words is "thirty-two billion, one hundred thirty-one million, two hundred twenty-one thousand".