Search a number
-
+
230103313200 = 24325263917587
BaseRepresentation
bin1101011001001100111…
…0011110101100110000
3210222221021222102221100
43112103032132230300
512232222422010300
6253412532324400
722424113614345
oct3262316365460
9728837872840
10230103313200
118964a359a42
1238719173700
1318910c17b37
14b1cc1407cc
155ebb1a9700
hex359339eb30

230103313200 has 90 divisors (see below), whose sum is σ = 798522426884. Its totient is φ = 61360882560.

The previous prime is 230103313189. The next prime is 230103313201. The reversal of 230103313200 is 2313301032.

230103313200 is a `hidden beast` number, since 2 + 3 + 0 + 10 + 331 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (230103313201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31955194 + ... + 31962393.

Almost surely, 2230103313200 is an apocalyptic number.

230103313200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230103313200 is an abundant number, since it is smaller than the sum of its proper divisors (568419113684).

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

230103313200 is a wasteful number, since it uses less digits than its factorization.

230103313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63917611 (or 63917597 counting only the distinct ones).

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

Adding to 230103313200 its reverse (2313301032), we get a palindrome (232416614232).

The spelling of 230103313200 in words is "two hundred thirty billion, one hundred three million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 63917587 127835174 191752761 255670348 319587935 383505522 511340696 575258283 639175870 767011044 958763805 1022681392 1150516566 1278351740 1534022088 1597939675 1917527610 2301033132 2556703480 2876291415 3068044176 3195879350 3835055220 4602066264 4793819025 5113406960 5752582830 6391758700 7670110440 9204132528 9587638050 11505165660 12783517400 14381457075 15340220880 19175276100 23010331320 25567034800 28762914150 38350552200 46020662640 57525828300 76701104400 115051656600 230103313200