Search a number
-
+
21100304114334 = 23283101653138937
BaseRepresentation
bin1001100110000110011000…
…01000011010001010011110
32202201011120110202212211100
410303003030020122022132
510231201410323124314
6112513202413533530
74305306130463064
oct463031410321236
982634513685740
1021100304114334
1167a5652652695
1224494691a42a6
13ba099a09a703
1452d38dc8a034
15268d023a9c09
hex1330cc21a29e

21100304114334 has 48 divisors (see below), whose sum is σ = 46268924908752. Its totient is φ = 6948576157824.

The previous prime is 21100304114321. The next prime is 21100304114387. The reversal of 21100304114334 is 43341140300112.

21100304114334 is a `hidden beast` number, since 2 + 1 + 10 + 0 + 304 + 1 + 14 + 334 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21100304114298 and 21100304114307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151800114 + ... + 151939050.

It is an arithmetic number, because the mean of its divisors is an integer number (963935935599).

Almost surely, 221100304114334 is an apocalyptic number.

21100304114334 is an abundant number, since it is smaller than the sum of its proper divisors (25168620794418).

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

21100304114334 is a wasteful number, since it uses less digits than its factorization.

21100304114334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240681 (or 240678 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 21100304114334 its reverse (43341140300112), we get a palindrome (64441444414446).

The spelling of 21100304114334 in words is "twenty-one trillion, one hundred billion, three hundred four million, one hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 83 166 249 498 747 1494 101653 138937 203306 277874 304959 416811 609918 833622 914877 1250433 1829754 2500866 8437199 11531771 16874398 23063542 25311597 34595313 50623194 69190626 75934791 103785939 151869582 207571878 14123362861 28246725722 42370088583 84740177166 127110265749 254220531498 1172239117463 2344478234926 3516717352389 7033434704778 10550152057167 21100304114334