Search a number
-
+
10320332418 = 2331117374297
BaseRepresentation
bin10011001110010001…
…11100011010000010
3222122020112012121000
421213020330122002
5132114001114133
64424024312430
7513514243464
oct114710743202
928566465530
1010320332418
114416616550
122000312716
13c86186a96
146dc90a134
15406086413
hex26723c682

10320332418 has 32 divisors (see below), whose sum is σ = 25018989120. Its totient is φ = 3127373280.

The previous prime is 10320332417. The next prime is 10320332431. The reversal of 10320332418 is 81423302301.

10320332418 is a `hidden beast` number, since 1 + 0 + 320 + 3 + 324 + 18 = 666.

It is a super-2 number, since 2×103203324182 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10320332391 and 10320332400.

It is not an unprimeable number, because it can be changed into a prime (10320332417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8686555 + ... + 8687742.

It is an arithmetic number, because the mean of its divisors is an integer number (781843410).

Almost surely, 210320332418 is an apocalyptic number.

10320332418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10320332418 is an abundant number, since it is smaller than the sum of its proper divisors (14698656702).

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

10320332418 is a wasteful number, since it uses less digits than its factorization.

10320332418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17374319 (or 17374313 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10320332418 its reverse (81423302301), we get a palindrome (91743634719).

The spelling of 10320332418 in words is "ten billion, three hundred twenty million, three hundred thirty-two thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 17374297 34748594 52122891 104245782 156368673 191117267 312737346 382234534 469106019 573351801 938212038 1146703602 1720055403 3440110806 5160166209 10320332418