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10111112012211 = 373477117091723
BaseRepresentation
bin1001001100100010110100…
…1111010110000110110011
31022210121112210002022011220
42103020231033112012303
52311130024133342321
633300551501040123
72062334532021000
oct223105517260663
938717483068156
1010111112012211
11324910a153391
121173726b56043
13584620b50802
1426d547c9a8a7
1512802e9959c6
hex9322d3d61b3

10111112012211 has 128 divisors (see below), whose sum is σ = 16301481984000. Its totient is φ = 5568704991360.

The previous prime is 10111112012207. The next prime is 10111112012219. The reversal of 10111112012211 is 11221021111101.

10111112012211 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 10111112012211 - 22 = 10111112012207 is a prime.

It is a super-2 number, since 2×101111120122112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10111112012219) 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, 5868317196 + ... + 5868318918.

It is an arithmetic number, because the mean of its divisors is an integer number (127355328000).

Almost surely, 210111112012211 is an apocalyptic number.

10111112012211 is a deficient number, since it is larger than the sum of its proper divisors (6190369971789).

10111112012211 is a wasteful number, since it uses less digits than its factorization.

10111112012211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10111112012211 its reverse (11221021111101), we get a palindrome (21332133123312).

The spelling of 10111112012211 in words is "ten trillion, one hundred eleven billion, one hundred twelve million, twelve thousand, two hundred eleven".

Divisors: 1 3 7 21 47 49 71 141 147 213 329 343 497 987 1029 1491 1709 1723 2303 3337 3479 5127 5169 6909 10011 10437 11963 12061 16121 23359 24353 35889 36183 48363 70077 73059 80323 80981 83741 84427 121339 122333 163513 240969 242943 251223 253281 364017 366999 490539 562261 566867 586187 590989 849373 856331 1144591 1686783 1700601 1758561 1772967 2548119 2568993 2944607 3433773 3935827 3968069 5702933 5749651 5945611 5994317 8833821 11807481 11904207 17108799 17248953 17836833 17982951 20612249 27550789 27776483 39920531 40247557 41619277 41960219 61836747 82652367 83329449 119761593 120742671 124857831 125880657 138396529 144285743 209067097 279443717 281732899 415189587 432857229 627201291 838331151 845198697 968775703 1010000201 1463469679 1956106019 1972130293 2906327109 3030000603 4390409037 5868318057 5916390879 6781429921 9826153559 10244287753 20344289763 29478460677 30732863259 47470009447 68783074913 71710014271 142410028341 206349224739 215130042813 481481524391 1444444573173 3370370670737 10111112012211