Search a number
-
+
32102223000000 = 2635611099649
BaseRepresentation
bin1110100110010011000011…
…00110010011000111000000
311012122221110010011001102020
413103021201212103013000
513201430323042000000
6152135320241521440
76522211004144316
oct723114146230700
9135587403131366
1032102223000000
11a257526a8681a
123725761643280
1314bb2c3c0846a
147cda822040b6
153aa0bc252ba0
hex1d32619931c0

32102223000000 has 392 divisors, whose sum is σ = 106276803702000. Its totient is φ = 8551987200000.

The previous prime is 32102222999999. The next prime is 32102223000017. The reversal of 32102223000000 is 32220123.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3326995176 + ... + 3327004824.

Almost surely, 232102223000000 is an apocalyptic number.

32102223000000 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 32102223000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53138401851000).

32102223000000 is an abundant number, since it is smaller than the sum of its proper divisors (74174580702000).

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

32102223000000 is an frugal number, since it uses more digits than its factorization.

32102223000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10803 (or 10768 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 32102223000000 its reverse (32220123), we get a palindrome (32102255220123).

The spelling of 32102223000000 in words is "thirty-two trillion, one hundred two billion, two hundred twenty-three million", and thus it is an aban number.