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11023211311112 = 23711137331877933
BaseRepresentation
bin1010000001101000101010…
…0110000011000000001000
31110000210211112211110020202
42200122022212003000020
52421101014043423422
635235554322311332
72215254311110310
oct240321246030010
943023745743222
1011023211311112
11356aa10457560
1212a04571b8548
1361c63b1caa80
142a175214c440
15141b14309b92
hexa068a983008

11023211311112 has 128 divisors (see below), whose sum is σ = 27788615688960. Its totient is φ = 3958981125120.

The previous prime is 11023211311097. The next prime is 11023211311127. The reversal of 11023211311112 is 21111311232011.

It is an interprime number because it is at equal distance from previous prime (11023211311097) and next prime (11023211311127).

It is a super-2 number, since 2×110232113111122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4930898 + ... + 6808830.

It is an arithmetic number, because the mean of its divisors is an integer number (217098560070).

Almost surely, 211023211311112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11023211311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13894307844480).

11023211311112 is an abundant number, since it is smaller than the sum of its proper divisors (16765404377848).

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

11023211311112 is a wasteful number, since it uses less digits than its factorization.

11023211311112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878703 (or 1878699 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 11023211311112 its reverse (21111311232011), we get a palindrome (32134522543123).

The spelling of 11023211311112 in words is "eleven trillion, twenty-three billion, two hundred eleven million, three hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 733 1001 1144 1466 2002 2932 4004 5131 5864 8008 8063 9529 10262 16126 19058 20524 32252 38116 41048 56441 64504 66703 76232 104819 112882 133406 209638 225764 266812 419276 451528 533624 733733 838552 1467466 1877933 2934932 3755866 5869864 7511732 13145531 15023464 20657263 24413129 26291062 41314526 48826258 52582124 82629052 97652516 105164248 144600841 165258104 170891903 195305032 268544419 289201682 341783806 537088838 578403364 683567612 1074177676 1156806728 1367135224 1376524889 1879810933 2148355352 2753049778 3759621866 5506099556 7519243732 9635674223 11012199112 15038487464 15141773779 17894823557 19271348446 30283547558 35789647114 38542696892 60567095116 71579294228 77085393784 105992416453 121134190232 125263764899 143158588456 196843059127 211984832906 250527529798 393686118254 423969665812 501055059596 787372236508 847939331624 1002110119192 1377901413889 1574744473016 2755802827778 5511605655556 11023211311112