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11211404205 = 3517294732257
BaseRepresentation
bin10100111000100000…
…00111001110101101
31001221100020100021210
422130100013032231
5140430104413310
65052255145033
7544554235431
oct123420071655
931840210253
1011211404205
1148335aaa11
12220a815179
1310989756b1
14784dc09c1
154593ec820
hex29c4073ad

11211404205 has 64 divisors (see below), whose sum is σ = 20067056640. Its totient is φ = 5317853184.

The previous prime is 11211404177. The next prime is 11211404209. The reversal of 11211404205 is 50240411211.

It is not a de Polignac number, because 11211404205 - 222 = 11207209901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211404209) 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, 331437 + ... + 363693.

It is an arithmetic number, because the mean of its divisors is an integer number (313547760).

Almost surely, 211211404205 is an apocalyptic number.

11211404205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11211404205 is a deficient number, since it is larger than the sum of its proper divisors (8855652435).

11211404205 is a wasteful number, since it uses less digits than its factorization.

11211404205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32358.

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 11211404205 its reverse (50240411211), we get a palindrome (61451815416).

It can be divided in two parts, 11211 and 404205, that added together give a triangular number (415416 = T911).

The spelling of 11211404205 in words is "eleven billion, two hundred eleven million, four hundred four thousand, two hundred five".

Divisors: 1 3 5 15 17 29 47 51 85 87 141 145 235 255 435 493 705 799 1363 1479 2397 2465 3995 4089 6815 7395 11985 20445 23171 32257 69513 96771 115855 161285 347565 483855 548369 935453 1516079 1645107 2741845 2806359 4548237 4677265 7580395 8225535 14031795 15902701 22741185 25773343 43966291 47708103 77320029 79513505 128866715 131898873 219831455 238540515 386600145 659494365 747426947 2242280841 3737134735 11211404205