Search a number
-
+
23302121311200 = 253529709217213
BaseRepresentation
bin1010100110001011100101…
…01010011100101111100000
310001111122211220021120202110
411103011302222130233200
511023240221023424300
6121320502521515320
74623344201035164
oct523056252345740
9101448756246673
1023302121311200
117474412aa4566
122744135342b40
1310004c4282564
145a7b85cccca4
152a621d110550
hex153172a9cbe0

23302121311200 has 72 divisors (see below), whose sum is σ = 75848404875768. Its totient is φ = 6213899015680.

The previous prime is 23302121311187. The next prime is 23302121311207. The reversal of 23302121311200 is 211312120332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23302121311207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4854606207 + ... + 4854611006.

It is an arithmetic number, because the mean of its divisors is an integer number (1053450067719).

Almost surely, 223302121311200 is an apocalyptic number.

23302121311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23302121311200 is an abundant number, since it is smaller than the sum of its proper divisors (52546283564568).

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

23302121311200 is a wasteful number, since it uses less digits than its factorization.

23302121311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9709217236 (or 9709217223 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 23302121311200 its reverse (211312120332), we get a palindrome (23513433431532).

The spelling of 23302121311200 in words is "twenty-three trillion, three hundred two billion, one hundred twenty-one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 9709217213 19418434426 29127651639 38836868852 48546086065 58255303278 77673737704 97092172130 116510606556 145638258195 155347475408 194184344260 233021213112 242730430325 291276516390 310694950816 388368688520 466042426224 485460860650 582553032780 728191290975 776737377040 932084852448 970921721300 1165106065560 1456382581950 1553474754080 1941843442600 2330212131120 2912765163900 3883686885200 4660424262240 5825530327800 7767373770400 11651060655600 23302121311200