Search a number
-
+
2301003013200 = 243521917502511
BaseRepresentation
bin100001011110111110011…
…101111001110001010000
322010222021212010020011020
4201132332131321301100
5300144423232410300
64521022144115440
7325145666621223
oct41367635716120
98128255106136
102301003013200
11807939239811
12311b49305b80
13138ca31167c8
147d524cc55ba
153ecc37658a0
hex217be779c50

2301003013200 has 60 divisors (see below), whose sum is σ = 7370879656128. Its totient is φ = 613600803200.

The previous prime is 2301003013159. The next prime is 2301003013213. The reversal of 2301003013200 is 23103001032.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×23010030132002 (a number of 26 digits) contains 22 as substring.

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 2301003013200.

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 11 ways as a sum of consecutive naturals, for example, 958750056 + ... + 958752455.

Almost surely, 22301003013200 is an apocalyptic number.

2301003013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301003013200 is an abundant number, since it is smaller than the sum of its proper divisors (5069876642928).

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

2301003013200 is a wasteful number, since it uses less digits than its factorization.

2301003013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917502532 (or 1917502521 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2301003013200 its reverse (23103001032), we get a palindrome (2324106014232).

The spelling of 2301003013200 in words is "two trillion, three hundred one billion, three million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1917502511 3835005022 5752507533 7670010044 9587512555 11505015066 15340020088 19175025110 23010030132 28762537665 30680040176 38350050220 46020060264 47937562775 57525075330 76700100440 92040120528 95875125550 115050150660 143812688325 153400200880 191750251100 230100301320 287625376650 383500502200 460200602640 575250753300 767001004400 1150501506600 2301003013200