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23313013200 = 2432526475837
BaseRepresentation
bin10101101101100100…
…000101100111010000
32020011201112202222100
4111231210011213100
5340221112410300
614413154440400
71453501225341
oct255544054720
966151482870
1023313013200
119983651964
124627593100
132276b95189
1411b22cc0c8
15916a3e700
hex56d9059d0

23313013200 has 90 divisors (see below), whose sum is σ = 80902644134. Its totient is φ = 6216802560.

The previous prime is 23313013193. The next prime is 23313013201. The reversal of 23313013200 is 231031332.

23313013200 is a `hidden beast` number, since 2 + 331 + 301 + 32 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 167650704 + 23145362496 = 12948^2 + 152136^2 .

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23313013201) 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, 3234319 + ... + 3241518.

Almost surely, 223313013200 is an apocalyptic number.

23313013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23313013200 is an abundant number, since it is smaller than the sum of its proper divisors (57589630934).

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

23313013200 is a wasteful number, since it uses less digits than its factorization.

23313013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6475861 (or 6475847 counting only the distinct ones).

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

Adding to 23313013200 its reverse (231031332), we get a palindrome (23544044532).

The spelling of 23313013200 in words is "twenty-three billion, three hundred thirteen million, 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 6475837 12951674 19427511 25903348 32379185 38855022 51806696 58282533 64758370 77710044 97137555 103613392 116565066 129516740 155420088 161895925 194275110 233130132 259033480 291412665 310840176 323791850 388550220 466260264 485687775 518066960 582825330 647583700 777100440 932520528 971375550 1165650660 1295167400 1457063325 1554200880 1942751100 2331301320 2590334800 2914126650 3885502200 4662602640 5828253300 7771004400 11656506600 23313013200