Search a number
-
+
22012200012213 = 3343139514726501
BaseRepresentation
bin1010000000101000111010…
…10111001100100110110101
32212221100100001210012011000
411000110131113030212311
510341121441200342323
6114452133131433513
74431220556641455
oct500243527144665
985840301705130
1022012200012213
11701735a060644
1225761412b5899
13c3898426c638
14561579111d65
152828c3e41e43
hex14051d5cc9b5

22012200012213 has 64 divisors (see below), whose sum is σ = 33616917734400. Its totient is φ = 14227105032000.

The previous prime is 22012200012181. The next prime is 22012200012221. The reversal of 22012200012213 is 31221000221022.

22012200012213 is a `hidden beast` number, since 220 + 1 + 220 + 0 + 0 + 1 + 221 + 3 = 666.

It is not a de Polignac number, because 22012200012213 - 25 = 22012200012181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012200012233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 830604463 + ... + 830630963.

It is an arithmetic number, because the mean of its divisors is an integer number (525264339600).

Almost surely, 222012200012213 is an apocalyptic number.

It is an amenable number.

22012200012213 is a deficient number, since it is larger than the sum of its proper divisors (11604717722187).

22012200012213 is a wasteful number, since it uses less digits than its factorization.

22012200012213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31839 (or 31833 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22012200012213 its reverse (31221000221022), we get a palindrome (53233200233235).

The spelling of 22012200012213 in words is "twenty-two trillion, twelve billion, two hundred million, twelve thousand, two hundred thirteen".

Divisors: 1 3 9 27 43 129 139 387 417 1161 1251 3753 5147 5977 15441 17931 26501 46323 53793 79503 138969 161379 221321 238509 663963 715433 715527 1139543 1991889 2146299 3418629 3683639 5975667 6438897 10255887 11050917 19316691 30763619 30767661 33152751 92290857 99458253 136400647 158396477 276872571 409201941 475189431 830617713 1227605823 1425568293 3682817469 4276704879 5865227821 17595683463 18959689933 52787050389 56879069799 158361151167 170637209397 511911628191 815266667119 2445800001357 7337400004071 22012200012213