Search a number
-
+
2302321000000 = 26567674909
BaseRepresentation
bin100001100000001101000…
…001100111111001000000
322011002200201010220011011
4201200031001213321000
5300210123134000000
64521401025130304
7325223442414310
oct41401501477100
98132621126134
102302321000000
118084552017aa
12312256789994
131391531ab758
147d60bd69440
153ed4e30a2ba
hex2180d067e40

2302321000000 has 392 divisors, whose sum is σ = 6625346444480. Its totient is φ = 777427200000.

The previous prime is 2302320999917. The next prime is 2302321000027. The reversal of 2302321000000 is 1232032.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 468997546 + ... + 469002454.

Almost surely, 22302321000000 is an apocalyptic number.

2302321000000 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 2302321000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312673222240).

2302321000000 is an abundant number, since it is smaller than the sum of its proper divisors (4323025444480).

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

2302321000000 is an frugal number, since it uses more digits than its factorization.

2302321000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 2302321000000 its reverse (1232032), we get a palindrome (2302322232032).

The spelling of 2302321000000 in words is "two trillion, three hundred two billion, three hundred twenty-one million", and thus it is an aban number.