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11122232211132 = 2237177998590861
BaseRepresentation
bin1010000111011001100010…
…1100110011011010111100
31110101021102111010100211020
42201312120230303122330
52424211312421224012
635353252152024140
72225361165633030
oct241663054633274
943337374110736
1011122232211132
1135a8a04144319
1212b7691092050
13628a8bc0a2c3
142a64671421c0
151444ac5e0a8c
hexa1d98b336bc

11122232211132 has 96 divisors (see below), whose sum is σ = 31801468446720. Its totient is φ = 2952993438720.

The previous prime is 11122232211089. The next prime is 11122232211133. The reversal of 11122232211132 is 23111223222111.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122232211133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49182619 + ... + 49408242.

It is an arithmetic number, because the mean of its divisors is an integer number (331265296320).

Almost surely, 211122232211132 is an apocalyptic number.

11122232211132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11122232211132 is an abundant number, since it is smaller than the sum of its proper divisors (20679236235588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11122232211132 is a wasteful number, since it uses less digits than its factorization.

11122232211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98590971 (or 98590969 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 11122232211132 its reverse (23111223222111), we get a palindrome (34233455433243).

The spelling of 11122232211132 in words is "eleven trillion, one hundred twenty-two billion, two hundred thirty-two million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 79 84 102 119 158 204 237 238 316 357 474 476 553 714 948 1106 1343 1428 1659 2212 2686 3318 4029 5372 6636 8058 9401 16116 18802 28203 37604 56406 112812 98590861 197181722 295772583 394363444 591545166 690136027 1183090332 1380272054 1676044637 2070408081 2760544108 3352089274 4140816162 5028133911 6704178548 7788678019 8281632324 10056267822 11732312459 15577356038 20112535644 23366034057 23464624918 31154712076 35196937377 46732068114 46929249836 54520746133 70393874754 93464136228 109041492266 132407526323 140787749508 163562238399 218082984532 264815052646 327124476798 397222578969 529630105292 654248953596 794445157938 926852684261 1588890315876 1853705368522 2780558052783 3707410737044 5561116105566 11122232211132