Search a number
-
+
22302132302331 = 327887399100451
BaseRepresentation
bin1010001001000100111101…
…01011000111000111111011
32220222001200221112120021100
411010202132223013013323
510410344231332133311
6115233242542542443
74461163425514230
oct504423653070773
986861627476240
1022302132302331
1171193102a6452
122602376b97a23
13c5a10b36475b
14571601107787
1528a1e281aa56
hex14489eac71fb

22302132302331 has 24 divisors (see below), whose sum is σ = 36857724943104. Its totient is φ = 12729707953200.

The previous prime is 22302132302309. The next prime is 22302132302341. The reversal of 22302132302331 is 13320323120322.

22302132302331 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 2 + 1 + 323 + 0 + 2 + 331 = 666.

It is not a de Polignac number, because 22302132302331 - 26 = 22302132302267 is a prime.

It is a super-2 number, since 2×223021323023312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22302132302295 and 22302132302304.

It is not an unprimeable number, because it can be changed into a prime (22302132302341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199494345 + ... + 199606106.

It is an arithmetic number, because the mean of its divisors is an integer number (1535738539296).

Almost surely, 222302132302331 is an apocalyptic number.

22302132302331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22302132302331 is a deficient number, since it is larger than the sum of its proper divisors (14555592640773).

22302132302331 is a wasteful number, since it uses less digits than its factorization.

22302132302331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399101351 (or 399101348 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 22302132302331 its reverse (13320323120322), we get a palindrome (35622455422653).

The spelling of 22302132302331 in words is "twenty-two trillion, three hundred two billion, one hundred thirty-two million, three hundred two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 887 2661 6209 7983 18627 55881 399100451 1197301353 2793703157 3591904059 8381109471 25143328413 354002100037 1062006300111 2478014700259 3186018900333 7434044100777 22302132302331