Search a number
-
+
10332210000 = 24354749201
BaseRepresentation
bin10011001111101100…
…10000001101010000
3222200001212122120110
421213312100031100
5132130021210000
64425131041320
7514020223140
oct114766201520
928601778513
1010332210000
114422299332
1220042a0240
13c88785138
1470031c920
15407130850
hex267d90350

10332210000 has 200 divisors, whose sum is σ = 38119347904. Its totient is φ = 2361600000.

The previous prime is 10332209999. The next prime is 10332210001. The reversal of 10332210000 is 1223301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10332209999) and next prime (10332210001).

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332210001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185400 + ... + 234600.

Almost surely, 210332210000 is an apocalyptic number.

10332210000 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 10332210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19059673952).

10332210000 is an abundant number, since it is smaller than the sum of its proper divisors (27787137904).

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

10332210000 is an equidigital number, since it uses as much as digits as its factorization.

10332210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49239 (or 49218 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10332210000 its reverse (1223301), we get a palindrome (10333433301).

The spelling of 10332210000 in words is "ten billion, three hundred thirty-two million, two hundred ten thousand".