Search a number
-
+
21320112200 = 2352235718117
BaseRepresentation
bin10011110110110001…
…110001100001001000
32001000211112220202012
4103312301301201020
5322130422042300
613443323555052
71353221651342
oct236661614110
961024486665
1021320112200
119050713942
12417008ba88
13201a03510a
141063760292
1584bad0435
hex4f6c71848

21320112200 has 96 divisors (see below), whose sum is σ = 51821415360. Its totient is φ = 8141971200.

The previous prime is 21320112197. The next prime is 21320112221. The reversal of 21320112200 is 221102312.

It is a happy number.

It is a super-3 number, since 3×213201122003 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2622542 + ... + 2630658.

It is an arithmetic number, because the mean of its divisors is an integer number (539806410).

Almost surely, 221320112200 is an apocalyptic number.

21320112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21320112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25910707680).

21320112200 is an abundant number, since it is smaller than the sum of its proper divisors (30501303160).

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

21320112200 is a wasteful number, since it uses less digits than its factorization.

21320112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8727 (or 8718 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21320112200 its reverse (221102312), we get a palindrome (21541214512).

The spelling of 21320112200 in words is "twenty-one billion, three hundred twenty million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 571 575 920 1142 1150 2284 2300 2855 4568 4600 5710 8117 11420 13133 14275 16234 22840 26266 28550 32468 40585 52532 57100 64936 65665 81170 105064 114200 131330 162340 186691 202925 262660 324680 328325 373382 405850 525320 656650 746764 811700 933455 1313300 1493528 1623400 1866910 2626600 3733820 4634807 4667275 7467640 9269614 9334550 18539228 18669100 23174035 37078456 37338200 46348070 92696140 106600561 115870175 185392280 213201122 231740350 426402244 463480700 533002805 852804488 926961400 1066005610 2132011220 2665014025 4264022440 5330028050 10660056100 21320112200