Search a number
-
+
21216416500323 = 32111719234920521
BaseRepresentation
bin1001101001011110101001…
…11110000000101001100011
32210010021021112201020110200
410310233110332000221203
510240102210111002243
6113042404233200243
74316556402461622
oct464572476005143
983107245636420
1021216416500323
11683a917004870
122467a72b60083
13bab912a22755
14534c46b756b9
1526bd4add9ad3
hex134bd4f80a63

21216416500323 has 72 divisors (see below), whose sum is σ = 37359650620656. Its totient is φ = 11465105126400.

The previous prime is 21216416500309. The next prime is 21216416500393. The reversal of 21216416500323 is 32300561461212.

21216416500323 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 641 + 6 + 5 + 0 + 0 + 3 + 2 + 3 = 666.

It is not a de Polignac number, because 21216416500323 - 236 = 21147697023587 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21216416500393) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16852698 + ... + 18067823.

It is an arithmetic number, because the mean of its divisors is an integer number (518884036398).

Almost surely, 221216416500323 is an apocalyptic number.

21216416500323 is a deficient number, since it is larger than the sum of its proper divisors (16143234120333).

21216416500323 is a wasteful number, since it uses less digits than its factorization.

21216416500323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34920593 (or 34920571 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 21216416500323 its reverse (32300561461212), we get a palindrome (53516977961535).

The spelling of 21216416500323 in words is "twenty-one trillion, two hundred sixteen billion, four hundred sixteen million, five hundred thousand, three hundred twenty-three".

Divisors: 1 3 9 11 17 19 33 51 57 99 153 171 187 209 323 361 561 627 969 1083 1683 1881 2907 3249 3553 3971 6137 10659 11913 18411 31977 35739 55233 67507 202521 607563 34920521 104761563 314284689 384125731 593648857 663489899 1152377193 1780946571 1990469697 3457131579 5342839713 5971409091 6530137427 7298388889 11279328283 12606308081 19590412281 21895166667 33837984849 37818924243 58771236843 65685500001 101513954547 113456772729 124072611113 138669388891 214307237377 372217833339 416008166673 642921712131 1116653500017 1248024500019 1928765136393 2357379611147 7072138833441 21216416500323