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22111202011122 = 23275572063152717
BaseRepresentation
bin1010000011100001010100…
…10101110110011111110010
32220021210212200111211021100
411001300222111312133302
510344232220203323442
6115005425044105230
74441324125023010
oct501605225663762
986253780454240
1022111202011122
117055343108754
122591370995216
13c45101091993
1456628b7c58b0
1528526a74284c
hex141c2a5767f2

22111202011122 has 96 divisors (see below), whose sum is σ = 54876791803392. Its totient is φ = 6303046246272.

The previous prime is 22111202011091. The next prime is 22111202011141. The reversal of 22111202011122 is 22111020211122.

22111202011122 is a `hidden beast` number, since 221 + 1 + 120 + 201 + 1 + 122 = 666.

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 = 22111202011095 and 22111202011104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 144709108 + ... + 144861824.

It is an arithmetic number, because the mean of its divisors is an integer number (571633247952).

Almost surely, 222111202011122 is an apocalyptic number.

22111202011122 is an abundant number, since it is smaller than the sum of its proper divisors (32765589792270).

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

22111202011122 is a wasteful number, since it uses less digits than its factorization.

22111202011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155352 (or 155349 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22111202011122 its reverse (22111020211122), we get a palindrome (44222222222244).

The spelling of 22111202011122 in words is "twenty-two trillion, one hundred eleven billion, two hundred two million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 557 1114 1671 2063 3342 3899 4126 5013 6189 7798 10026 11697 12378 14441 18567 23394 28882 35091 37134 43323 70182 86646 129969 152717 259938 305434 458151 916302 1069019 1149091 1374453 2138038 2298182 2748906 3207057 3447273 6414114 6894546 8043637 9621171 10341819 16087274 19242342 20683638 24130911 48261822 72392733 85063369 144785466 170126738 255190107 315055171 510380214 595443583 630110342 765570321 945165513 1190887166 1531140642 1786330749 1890331026 2205386197 2835496539 3572661498 4410772394 5358992247 5670993078 6616158591 10717984494 13232317182 19848475773 39696951546 175485730247 350971460494 526457190741 1052914381482 1228400111729 1579371572223 2456800223458 3158743144446 3685200335187 7370400670374 11055601005561 22111202011122