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111022121001012 = 223131158736141899
BaseRepresentation
bin11001001111100101011010…
…000101011010000000110100
3112120002121111111112111020220
4121033211122011122000310
5104022441300434013022
61032042505220054340
732246040440625114
oct3117453205320064
9476077444474226
10111022121001012
1132414242a67601
12105509b78343b0
1349c44584a66c0
141d5b6dc225044
15cc7e1800985c
hex64f95a15a034

111022121001012 has 48 divisors (see below), whose sum is σ = 278981116075200. Its totient is φ = 34160352242688.

The previous prime is 111022121000993. The next prime is 111022121001013. The reversal of 111022121001012 is 210100121220111.

It is a happy number.

It is a super-2 number, since 2×1110221210010122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111022121000982 and 111022121001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111022121001013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15005239 + ... + 21147137.

It is an arithmetic number, because the mean of its divisors is an integer number (5812106584900).

Almost surely, 2111022121001012 is an apocalyptic number.

111022121001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111022121001012 is an abundant number, since it is smaller than the sum of its proper divisors (167958995074188).

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

111022121001012 is a wasteful number, since it uses less digits than its factorization.

111022121001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257792 (or 6257790 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111022121001012 its reverse (210100121220111), we get a palindrome (321122242221123).

The spelling of 111022121001012 in words is "one hundred eleven trillion, twenty-two billion, one hundred twenty-one million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 115873 231746 347619 463492 695238 1390476 1506349 3012698 4519047 6025396 6141899 9038094 12283798 18076188 18425697 24567596 36851394 73702788 79844687 159689374 239534061 319378748 479068122 958136244 711680262827 1423360525654 2135040788481 2846721051308 4270081576962 8540163153924 9251843416751 18503686833502 27755530250253 37007373667004 55511060500506 111022121001012