Search a number
-
+
21321133113332 = 22135411369755333
BaseRepresentation
bin1001101100100001101101…
…00100001011111111110100
32210111021120102111100102002
410312100312210023333310
510243311140034111312
6113202443205434432
74330254361136513
oct466206644137764
983437512440362
1021321133113332
116880272890048
12248421840ba18
13bb876075b860
14539d3c3aa67a
1526e92924e4c2
hex13643690bff4

21321133113332 has 48 divisors (see below), whose sum is σ = 40260075951312. Its totient is φ = 9821438853120.

The previous prime is 21321133113317. The next prime is 21321133113367. The reversal of 21321133113332 is 23331133112312.

It can be written as a sum of positive squares in 8 ways, for example, as 9666652047376 + 11654481065956 = 3109124^2 + 3413866^2 .

It is a super-2 number, since 2×213211331133322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21321133113295 and 21321133113304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385296338 + ... + 385351670.

It is an arithmetic number, because the mean of its divisors is an integer number (838751582319).

Almost surely, 221321133113332 is an apocalyptic number.

It is an amenable number.

21321133113332 is a deficient number, since it is larger than the sum of its proper divisors (18938942837980).

21321133113332 is a wasteful number, since it uses less digits than its factorization.

21321133113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69588 (or 69586 counting only the distinct ones).

The product of its digits is 5832, while the sum is 29.

Adding to 21321133113332 its reverse (23331133112312), we get a palindrome (44652266225644).

The spelling of 21321133113332 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 52 541 1082 2164 7033 13697 14066 27394 28132 54788 55333 110666 178061 221332 356122 712244 719329 1438658 2877316 7410077 14820154 29640308 29935153 59870306 96331001 119740612 192662002 385324004 389156989 757896101 778313978 1515792202 1556627956 3031584404 9852649313 19705298626 39410597252 410021790641 820043581282 1640087162564 5330283278333 10660566556666 21321133113332