Search a number
-
+
102302001310200 = 23352467936440123
BaseRepresentation
bin10111010000101100001010…
…011100101010100111111000
3111102012222100100220111110220
4113100230022130222213320
5101402103444313411300
61001324520211540040
730356034650342406
oct2720541234524770
9442188310814426
10102302001310200
112a66204280622a
12b5829912ba620
134511064021723
141b3962c520476
15bc619a9cbda0
hex5d0b0a72a9f8

102302001310200 has 96 divisors (see below), whose sum is σ = 317203991395200. Its totient is φ = 27274702514560.

The previous prime is 102302001310169. The next prime is 102302001310217. The reversal of 102302001310200 is 2013100203201.

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 102302001310200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15412662 + ... + 21027461.

It is an arithmetic number, because the mean of its divisors is an integer number (3304208243700).

Almost surely, 2102302001310200 is an apocalyptic number.

102302001310200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102302001310200 is an abundant number, since it is smaller than the sum of its proper divisors (214901990085000).

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

102302001310200 is a wasteful number, since it uses less digits than its factorization.

102302001310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36444821 (or 36444812 counting only the distinct ones).

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

Adding to 102302001310200 its reverse (2013100203201), we get a palindrome (104315101513401).

The spelling of 102302001310200 in words is "one hundred two trillion, three hundred two billion, one million, three hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 4679 9358 14037 18716 23395 28074 37432 46790 56148 70185 93580 112296 116975 140370 187160 233950 280740 350925 467900 561480 701850 935800 1403700 2807400 36440123 72880246 109320369 145760492 182200615 218640738 291520984 364401230 437281476 546601845 728802460 874562952 911003075 1093203690 1457604920 1822006150 2186407380 2733009225 3644012300 4372814760 5466018450 7288024600 10932036900 21864073800 170503335517 341006671034 511510006551 682013342068 852516677585 1023020013102 1364026684136 1705033355170 2046040026204 2557550032755 3410066710340 4092080052408 4262583387925 5115100065510 6820133420680 8525166775850 10230200131020 12787750163775 17050333551700 20460400262040 25575500327550 34100667103400 51151000655100 102302001310200