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11101222220022 = 2321131727256577
BaseRepresentation
bin1010000110001011010001…
…1010000011000011110110
31110022021012021010020020100
42201202310122003003312
52423340300342020042
635335455303014530
72224015430643444
oct241426432030366
943267167106210
1011101222220022
1135a0002598000
1212b35a8a3a446
13626ac12079bc
142a5432a6bb94
15143b7cd6d24c
hexa18b46830f6

11101222220022 has 96 divisors (see below), whose sum is σ = 28012348394784. Its totient is φ = 3166123868160.

The previous prime is 11101222220021. The next prime is 11101222220059. The reversal of 11101222220022 is 22002222210111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11101222219977 and 11101222220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101222220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13221003 + ... + 14035574.

It is an arithmetic number, because the mean of its divisors is an integer number (291795295779).

Almost surely, 211101222220022 is an apocalyptic number.

11101222220022 is an abundant number, since it is smaller than the sum of its proper divisors (16911126174762).

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

11101222220022 is a wasteful number, since it uses less digits than its factorization.

11101222220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27256635 (or 27256610 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11101222220022 its reverse (22002222210111), we get a palindrome (33103444430133).

The spelling of 11101222220022 in words is "eleven trillion, one hundred one billion, two hundred twenty-two million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 374 561 726 1089 1122 1331 1683 2057 2178 2662 3366 3993 4114 6171 7986 11979 12342 18513 22627 23958 37026 45254 67881 135762 203643 407286 27256577 54513154 81769731 163539462 245309193 299822347 463361809 490618386 599644694 899467041 926723618 1390085427 1798934082 2698401123 2780170854 3298045817 4170256281 5096979899 5396802246 6596091634 8340512562 9894137451 10193959798 15290939697 19788274902 29682412353 30581879394 36278503987 45872819091 56066778889 59364824706 72557007974 91745638182 108835511961 112133557778 168200336667 217671023922 326506535883 336400673334 504601010001 616734567779 653013071766 1009202020002 1233469135558 1850203703337 3700407406674 5550611110011 11101222220022