Search a number
-
+
102110312000 = 265312763789
BaseRepresentation
bin101111100011000111…
…1111011011001000000
3100202120020120022002102
41133012033323121000
53133110214441000
6114524150205532
710243250221424
oct1370617733100
9322506508072
10102110312000
113a339677804
12179586538a8
139823a9b178
144d29432b84
1529c963c3d5
hex17c63fb640

102110312000 has 56 divisors (see below), whose sum is σ = 252876207480. Its totient is φ = 40844121600.

The previous prime is 102110311951. The next prime is 102110312027. The reversal of 102110312000 is 213011201.

It can be written as a sum of positive squares in 4 ways, for example, as 19474760704 + 82635551296 = 139552^2 + 287464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6373895 + ... + 6389894.

Almost surely, 2102110312000 is an apocalyptic number.

102110312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110312000 is an abundant number, since it is smaller than the sum of its proper divisors (150765895480).

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

102110312000 is an equidigital number, since it uses as much as digits as its factorization.

102110312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12763816 (or 12763796 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 102110312000 its reverse (213011201), we get a palindrome (102323323201).

The spelling of 102110312000 in words is "one hundred two billion, one hundred ten million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 12763789 25527578 51055156 63818945 102110312 127637890 204220624 255275780 319094725 408441248 510551560 638189450 816882496 1021103120 1276378900 1595473625 2042206240 2552757800 3190947250 4084412480 5105515600 6381894500 10211031200 12763789000 20422062400 25527578000 51055156000 102110312000