Search a number
-
+
10332212000 = 255311432127
BaseRepresentation
bin10011001111101100…
…10000101100100000
3222200001212202022112
421213312100230200
5132130021241000
64425131054452
7514020232025
oct114766205440
928601782275
1010332212000
11442229a890
1220042a1428
13c88786016
1470031d54c
15407131235
hex267d90b20

10332212000 has 288 divisors, whose sum is σ = 28576364544. Its totient is φ = 3640896000.

The previous prime is 10332211979. The next prime is 10332212081. The reversal of 10332212000 is 21223301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81355937 + ... + 81356063.

It is an arithmetic number, because the mean of its divisors is an integer number (99223488).

Almost surely, 210332212000 is an apocalyptic number.

10332212000 is a gapful number since it is divisible by the number (10) 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 10332212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288182272).

10332212000 is an abundant number, since it is smaller than the sum of its proper divisors (18244152544).

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

10332212000 is a wasteful number, since it uses less digits than its factorization.

10332212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10332212000 its reverse (21223301), we get a palindrome (10353435301).

The spelling of 10332212000 in words is "ten billion, three hundred thirty-two million, two hundred twelve thousand".