Search a number
-
+
213220541055225 = 352111493993117431
BaseRepresentation
bin110000011110110001000110…
…100110111100000011111001
31000221221200111010000222211110
4300132301012212330003321
5210421401132002231400
62033252055254150533
762624450530165464
oct6036610646740371
91027850433028743
10213220541055225
1161a36361861040
121bab769b952449
1391c87c2a6c0c2
143a91d01c142db
15199b55018de50
hexc1ec469bc0f9

213220541055225 has 96 divisors (see below), whose sum is σ = 384890734844928. Its totient is φ = 103294084320000.

The previous prime is 213220541055209. The next prime is 213220541055289. The reversal of 213220541055225 is 522550145022312.

213220541055225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213220541055225 - 24 = 213220541055209 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12232252260 + ... + 12232269690.

It is an arithmetic number, because the mean of its divisors is an integer number (4009278487968).

Almost surely, 2213220541055225 is an apocalyptic number.

213220541055225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213220541055225 is a deficient number, since it is larger than the sum of its proper divisors (171670193789703).

213220541055225 is a wasteful number, since it uses less digits than its factorization.

213220541055225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28879 (or 28874 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

Adding to 213220541055225 its reverse (522550145022312), we get a palindrome (735770686077537).

The spelling of 213220541055225 in words is "two hundred thirteen trillion, two hundred twenty billion, five hundred forty-one million, fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 1493 4479 7465 9931 16423 17431 22395 29793 37325 49269 49655 52293 82115 87155 109241 111975 148965 191741 246345 248275 261465 327723 410575 435775 546205 575223 744825 958705 1231725 1307325 1638615 2731025 2876115 4793525 8193075 14380575 14826983 26024483 44480949 74134915 78073449 130122415 163096813 173107261 222404745 286269313 370674575 390367245 489290439 519321783 650612075 815484065 858807939 865536305 1112023725 1431346565 1904179871 1951836225 2446452195 2596608915 4077420325 4294039695 4327681525 5712539613 7156732825 9520899355 12232260975 12983044575 21470198475 28562698065 47604496775 142813490325 258449140673 775347422019 1292245703365 2842940547403 3876737110095 6461228516825 8528821642209 14214702737015 19383685550475 42644108211045 71073513685075 213220541055225