Search a number
-
+
102014301300 = 223521459233069
BaseRepresentation
bin101111100000010000…
…1101011010001110100
3100202022112220110011120
41133000201223101310
53132411130120200
6114510440303540
710241003153022
oct1370041532164
9322275813146
10102014301300
113a29a46051a
1217930471bb0
139809c233c2
144d1a79d712
1529c0ec49a0
hex17c086b474

102014301300 has 72 divisors (see below), whose sum is σ = 295364949600. Its totient is φ = 27185051520.

The previous prime is 102014301299. The next prime is 102014301317. The reversal of 102014301300 is 3103410201.

102014301300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102014301300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321166 + ... + 554234.

Almost surely, 2102014301300 is an apocalyptic number.

102014301300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102014301300 is an abundant number, since it is smaller than the sum of its proper divisors (193350648300).

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

102014301300 is a wasteful number, since it uses less digits than its factorization.

102014301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234545 (or 234538 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102014301300 its reverse (3103410201), we get a palindrome (105117711501).

The spelling of 102014301300 in words is "one hundred two billion, fourteen million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1459 2918 4377 5836 7295 8754 14590 17508 21885 29180 36475 43770 72950 87540 109425 145900 218850 233069 437700 466138 699207 932276 1165345 1398414 2330690 2796828 3496035 4661380 5826725 6992070 11653450 13984140 17480175 23306900 34960350 69920700 340047671 680095342 1020143013 1360190684 1700238355 2040286026 3400476710 4080572052 5100715065 6800953420 8501191775 10201430130 17002383550 20402860260 25503575325 34004767100 51007150650 102014301300