Search a number
-
+
230021010000 = 2432549912579
BaseRepresentation
bin1101011000111001010…
…0100001001001010000
3210222201120010000011200
43112032110201021100
512232040334310000
6253400432311200
722422064216335
oct3261624411120
9728646100150
10230021010000
1189607955371
12386b56a2500
13188c9b5c312
14b1c123898c
155eb3d4d500
hex358e521250

230021010000 has 300 divisors, whose sum is σ = 805540644480. Its totient is φ = 61253280000.

The previous prime is 230021009987. The next prime is 230021010007. The reversal of 230021010000 is 10120032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230021010007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 89188711 + ... + 89191289.

Almost surely, 2230021010000 is an apocalyptic number.

230021010000 is a gapful number since it is divisible by the number (20) 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 230021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402770322240).

230021010000 is an abundant number, since it is smaller than the sum of its proper divisors (575519634480).

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

230021010000 is a wasteful number, since it uses less digits than its factorization.

230021010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 230021010000 its reverse (10120032), we get a palindrome (230031130032).

The spelling of 230021010000 in words is "two hundred thirty billion, twenty-one million, ten thousand".