Search a number
-
+
10003103300322 = 23211461711094209
BaseRepresentation
bin1001000110010000011101…
…1010110011101011100010
31022102021202110122020120100
42101210013122303223202
52302342323421102242
633135210123323230
72051462140066146
oct221440732635342
938367673566510
1010003103300322
11320732403a530
121156803080516
1357739a06a7c2
1426821d345226
1512530c5de54c
hex919076b3ae2

10003103300322 has 48 divisors (see below), whose sum is σ = 23644232408160. Its totient is φ = 3031175001600.

The previous prime is 10003103300317. The next prime is 10003103300339. The reversal of 10003103300322 is 22300330130001.

10003103300322 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 3 + 10 + 330 + 0 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10003103300295 and 10003103300304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8594754 + ... + 9688962.

It is an arithmetic number, because the mean of its divisors is an integer number (492588175170).

Almost surely, 210003103300322 is an apocalyptic number.

10003103300322 is an abundant number, since it is smaller than the sum of its proper divisors (13641129107838).

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

10003103300322 is a wasteful number, since it uses less digits than its factorization.

10003103300322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140399 (or 1140396 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10003103300322 its reverse (22300330130001), we get a palindrome (32303433430323).

The spelling of 10003103300322 in words is "ten trillion, three billion, one hundred three million, three hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 46171 92342 138513 277026 415539 507881 831078 1015762 1094209 1523643 2188418 3047286 3282627 4570929 6565254 9141858 9847881 12036299 19695762 24072598 36108897 72217794 108326691 216653382 50520723739 101041447478 151562171217 303124342434 454686513651 555727961129 909373027302 1111455922258 1667183883387 3334367766774 5001551650161 10003103300322