Search a number
-
+
21230302302000 = 24325311431248779
BaseRepresentation
bin1001101001111000100001…
…01000001000111100110000
32210011121010021022001101200
410310330100220020330300
510240314124342131000
6113053022150131200
74320560453031501
oct464742050107460
983147107261350
1021230302302000
1168457a21a4120
12246a6a9350b00
13bb001678934c
145357a3002ba8
1526c3aeeb1500
hex134f10a08f30

21230302302000 has 480 divisors, whose sum is σ = 81079320591360. Its totient is φ = 5134777920000.

The previous prime is 21230302301969. The next prime is 21230302302019. The reversal of 21230302302000 is 20320303212.

It is a happy number.

21230302302000 is a `hidden beast` number, since 2 + 1 + 230 + 3 + 0 + 230 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85213611 + ... + 85462389.

It is an arithmetic number, because the mean of its divisors is an integer number (168915251232).

Almost surely, 221230302302000 is an apocalyptic number.

21230302302000 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 21230302302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40539660295680).

21230302302000 is an abundant number, since it is smaller than the sum of its proper divisors (59849018289360).

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

21230302302000 is a wasteful number, since it uses less digits than its factorization.

21230302302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249250 (or 249231 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21230302302000 its reverse (20320303212), we get a palindrome (21250622605212).

The spelling of 21230302302000 in words is "twenty-one trillion, two hundred thirty billion, three hundred two million, three hundred two thousand".