Search a number
-
+
10021330000 = 2454111723233
BaseRepresentation
bin10010101010101000…
…10101110001010000
3221212101220022101101
421111110111301100
5131010430030000
64334223514144
7503223620353
oct112524256120
927771808341
1010021330000
114282863610
121b38158954
13c39248086
146b0d1629a
153d9bc2e6a
hex255515c50

10021330000 has 400 divisors, whose sum is σ = 29369298816. Its totient is φ = 3266560000.

The previous prime is 10021329973. The next prime is 10021330019. The reversal of 10021330000 is 3312001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43009884 + ... + 43010116.

Almost surely, 210021330000 is an apocalyptic number.

10021330000 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 10021330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14684649408).

10021330000 is an abundant number, since it is smaller than the sum of its proper divisors (19347968816).

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

10021330000 is a wasteful number, since it uses less digits than its factorization.

10021330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10021330000 its reverse (3312001), we get a palindrome (10024642001).

The spelling of 10021330000 in words is "ten billion, twenty-one million, three hundred thirty thousand".