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11201220000111 = 35319319912891423
BaseRepresentation
bin1010001011111111110010…
…1111010011100101101111
31110122211022021120210100010
42202333330233103211233
52432010044310000421
635453434110304303
72234155450025061
oct242777457234557
943584267523303
1011201220000111
113629457747269
12130aa55ab8093
1363336941ab8b
142aa1db6b1731
15146581cba076
hexa2ffcbd396f

11201220000111 has 64 divisors (see below), whose sum is σ = 15395194368000. Its totient is φ = 7241277947904.

The previous prime is 11201220000101. The next prime is 11201220000143. The reversal of 11201220000111 is 11100002210211.

It is not a de Polignac number, because 11201220000111 - 235 = 11166860261743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201220000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7871552346 + ... + 7871553768.

It is an arithmetic number, because the mean of its divisors is an integer number (240549912000).

Almost surely, 211201220000111 is an apocalyptic number.

11201220000111 is a deficient number, since it is larger than the sum of its proper divisors (4193974367889).

11201220000111 is a wasteful number, since it uses less digits than its factorization.

11201220000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11201220000111 its reverse (11100002210211), we get a palindrome (22301222210322).

The spelling of 11201220000111 in words is "eleven trillion, two hundred one billion, two hundred twenty million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 53 159 193 199 579 597 1289 1423 3867 4269 10229 10547 30687 31641 38407 68317 75419 115221 204951 226257 248777 256511 274639 283177 746331 769533 823917 849531 1834247 2035571 5502741 6106713 13185181 13595083 14555867 15008381 39555543 40785249 43667601 45025143 49506623 54653161 97215091 148519869 163959483 291645273 354009671 365015153 1062029013 1095045459 2623851019 2896617533 7871553057 8689852599 18762512563 19345803109 56287537689 58037409327 70447924529 211343773587 3733740000037 11201220000111