Search a number
-
+
10202323230000 = 2432541197131811
BaseRepresentation
bin1001010001110110100111…
…0110100001110100110000
31100010022222110002020202100
42110131221312201310300
52314123324221330000
633410514350020400
72102044036413516
oct224355166416460
940108873066670
1010202323230000
113283865542310
1211893414a7700
135900c88941b5
14273b1b9a84b6
1512a5bc326a00
hex94769da1d30

10202323230000 has 1200 divisors, whose sum is σ = 39672846525312. Its totient is φ = 2426112000000.

The previous prime is 10202323229971. The next prime is 10202323230031. The reversal of 10202323230000 is 3232320201.

It is a happy number.

10202323230000 is a `hidden beast` number, since 102 + 0 + 232 + 32 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 239 ways as a sum of consecutive naturals, for example, 12579929595 + ... + 12579930405.

Almost surely, 210202323230000 is an apocalyptic number.

10202323230000 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 10202323230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19836423262656).

10202323230000 is an abundant number, since it is smaller than the sum of its proper divisors (29470523295312).

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

10202323230000 is a wasteful number, since it uses less digits than its factorization.

10202323230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1060 counting only the distinct ones).

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

Adding to 10202323230000 its reverse (3232320201), we get a palindrome (10205555550201).

The spelling of 10202323230000 in words is "ten trillion, two hundred two billion, three hundred twenty-three million, two hundred thirty thousand".