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21225303233505 = 325732033367631
BaseRepresentation
bin1001101001101111001101…
…01010001101001111100001
32210011010012212200001121200
410310313212222031033201
510240223410111433010
6113050434130511413
74320322541454000
oct464674652151741
983133185601550
1021225303233505
116843667372a58
122469733135569
13bac6cab95757
1453544b104c37
1526c1bb190cc0
hex134de6a8d3e1

21225303233505 has 96 divisors (see below), whose sum is σ = 42907147545600. Its totient is φ = 9702375096960.

The previous prime is 21225303233501. The next prime is 21225303233507. The reversal of 21225303233505 is 50533230352212.

21225303233505 is a `hidden beast` number, since 2 + 12 + 2 + 5 + 303 + 2 + 335 + 0 + 5 = 666.

It is not a de Polignac number, because 21225303233505 - 22 = 21225303233501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21225303233505.

It is not an unprimeable number, because it can be changed into a prime (21225303233501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313806040 + ... + 313873670.

It is an arithmetic number, because the mean of its divisors is an integer number (446949453600).

Almost surely, 221225303233505 is an apocalyptic number.

It is an amenable number.

21225303233505 is an abundant number, since it is smaller than the sum of its proper divisors (21681844312095).

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

21225303233505 is a wasteful number, since it uses less digits than its factorization.

21225303233505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87996 (or 87979 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 21225303233505 its reverse (50533230352212), we get a palindrome (71758533585717).

The spelling of 21225303233505 in words is "twenty-one trillion, two hundred twenty-five billion, three hundred three million, two hundred thirty-three thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 343 441 735 1029 1715 2205 3087 5145 15435 20333 60999 67631 101665 142331 182997 202893 304995 338155 426993 473417 608679 711655 914985 996317 1014465 1280979 1420251 2134965 2367085 2988951 3043395 3313919 4260753 4981585 6404895 6974219 7101255 8966853 9941757 14944755 16569595 20922657 21303765 23197433 29825271 34871095 44834265 49708785 62767971 69592299 104613285 115987165 149126355 208776897 313839855 347961495 1043884485 1375141123 4125423369 6875705615 9625987861 12376270107 20627116845 28877963583 48129939305 61881350535 67381915027 86633890749 144389817915 202145745081 336909575135 433169453745 471673405189 606437235243 1010728725405 1415020215567 2358367025945 3032186176215 4245060646701 7075101077835 21225303233505