Search a number
-
+
32101212000 = 25353111321439
BaseRepresentation
bin11101111001011000…
…011001111101100000
310001212012002112100210
4131321120121331200
51011220402241000
622425212214120
72214332541234
oct357130317540
9101765075323
1032101212000
111268332a780
12627a76a340
1330477b8800
1417a752c5c4
15c7d330350
hex779619f60

32101212000 has 576 divisors, whose sum is σ = 124313978880. Its totient is φ = 7178496000.

The previous prime is 32101211993. The next prime is 32101212029. The reversal of 32101212000 is 21210123.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 22307281 + ... + 22308719.

It is an arithmetic number, because the mean of its divisors is an integer number (215822880).

Almost surely, 232101212000 is an apocalyptic number.

32101212000 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 32101212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62156989440).

32101212000 is an abundant number, since it is smaller than the sum of its proper divisors (92212766880).

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

32101212000 is a wasteful number, since it uses less digits than its factorization.

32101212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 32101212000 its reverse (21210123), we get a palindrome (32122422123).

The spelling of 32101212000 in words is "thirty-two billion, one hundred one million, two hundred twelve thousand".