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11201885013 = 31129374753127
BaseRepresentation
bin10100110111010111…
…10011001101010101
31001220200022201102010
422123223303031111
5140420140310023
65051315134433
7544410310614
oct123353631525
931820281363
1011201885013
114829199010
1222075a4419
1310969c1937
14783a2387b
1545866c093
hex29baf3355

11201885013 has 128 divisors (see below), whose sum is σ = 18154782720. Its totient is φ = 6076062720.

The previous prime is 11201885011. The next prime is 11201885029. The reversal of 11201885013 is 31058810211.

It is not a de Polignac number, because 11201885013 - 21 = 11201885011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201885011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88203756 + ... + 88203882.

It is an arithmetic number, because the mean of its divisors is an integer number (141834240).

Almost surely, 211201885013 is an apocalyptic number.

It is an amenable number.

11201885013 is a deficient number, since it is larger than the sum of its proper divisors (6952897707).

11201885013 is a wasteful number, since it uses less digits than its factorization.

11201885013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307.

The product of its (nonzero) digits is 1920, while the sum is 30.

The spelling of 11201885013 in words is "eleven billion, two hundred one million, eight hundred eighty-five thousand, thirteen".

Divisors: 1 3 11 29 33 37 47 53 87 111 127 141 159 319 381 407 517 583 957 1073 1221 1363 1397 1537 1551 1739 1749 1961 2491 3219 3683 4089 4191 4611 4699 5217 5883 5969 6731 7473 11049 11803 14097 14993 16907 17907 19129 20193 21571 27401 35409 40513 44979 50431 50721 51689 56869 57387 64713 65659 72239 74041 82203 92167 121539 136271 151293 155067 170607 173101 195199 196977 216717 220853 222123 249047 276501 316357 408813 519303 554741 585597 625559 662559 747141 794629 949071 1013837 1498981 1664223 1876677 1904111 2147189 2383887 2429383 2672843 2739517 3041511 3479927 4496943 5712333 6404737 6441567 7222363 7288149 8018529 8218551 9174353 10439781 11705209 19214211 21667089 27523059 29401273 35115627 70452107 79445993 88203819 100917883 128757299 211356321 238337979 302753649 339451061 386271897 1018353183 3733961671 11201885013