Search a number
-
+
10332132000 = 253532273793
BaseRepresentation
bin10011001111101011…
…11101001010100000
3222200001201200120120
421213311331022200
5132130011211000
64425125240240
7514016446551
oct114765751240
928601650516
1010332132000
114422245773
122004263080
13c88758798
147002dc328
154071176a0
hex267d7d2a0

10332132000 has 192 divisors, whose sum is σ = 34006137984. Its totient is φ = 2742374400.

The previous prime is 10332131987. The next prime is 10332132023. The reversal of 10332132000 is 23123301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2722104 + ... + 2725896.

It is an arithmetic number, because the mean of its divisors is an integer number (177115302).

Almost surely, 210332132000 is an apocalyptic number.

10332132000 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 10332132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17003068992).

10332132000 is an abundant number, since it is smaller than the sum of its proper divisors (23674005984).

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

10332132000 is a wasteful number, since it uses less digits than its factorization.

10332132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10332132000 its reverse (23123301), we get a palindrome (10355255301).

The spelling of 10332132000 in words is "ten billion, three hundred thirty-two million, one hundred thirty-two thousand".