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11012022210222 = 232111730431107507
BaseRepresentation
bin1010000000111110111110…
…1011000000111010101110
31102222201221202120020100200
42200033233223000322232
52420410110141211342
635230504141134330
72214410114243025
oct240175753007256
942881852506320
1011012022210222
113566199500440
12129a253b5a3a6
1361b577064007
142a0db00d58bc
151416abd6594c
hexa03efac0eae

11012022210222 has 96 divisors (see below), whose sum is σ = 27560661433344. Its totient is φ = 3140551276800.

The previous prime is 11012022210221. The next prime is 11012022210271. The reversal of 11012022210222 is 22201222021011.

It is a happy number.

11012022210222 is a `hidden beast` number, since 110 + 120 + 2 + 2 + 210 + 222 = 666.

It is a super-2 number, since 2×110120222102222 (a number of 27 digits) contains 22 as substring.

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 = 11012022210195 and 11012022210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012022210221) 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 47 ways as a sum of consecutive naturals, for example, 102376993 + ... + 102484499.

It is an arithmetic number, because the mean of its divisors is an integer number (287090223264).

Almost surely, 211012022210222 is an apocalyptic number.

11012022210222 is an abundant number, since it is smaller than the sum of its proper divisors (16548639223122).

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

11012022210222 is a wasteful number, since it uses less digits than its factorization.

11012022210222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137974 (or 137971 counting only the distinct ones).

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

Adding to 11012022210222 its reverse (22201222021011), we get a palindrome (33213244231233).

The spelling of 11012022210222 in words is "eleven trillion, twelve billion, twenty-two million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 30431 60862 91293 107507 182586 215014 273879 322521 334741 517327 547758 645042 669482 967563 1004223 1034654 1182577 1551981 1827619 1935126 2008446 2365154 3012669 3103962 3547731 3655238 4655943 5482857 5690597 6025338 7095462 9311886 10643193 10965714 11381194 16448571 17071791 20103809 21286386 32897142 34143582 40207618 51215373 60311427 102430746 120622854 180934281 361868562 3271545517 6543091034 9814636551 19629273102 29443909653 35987000687 55616273789 58887819306 71974001374 107961002061 111232547578 166848821367 215922004122 323883006183 333697642734 500546464101 611779011679 647766012366 1001092928202 1223558023358 1835337035037 3670674070074 5506011105111 11012022210222