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10011223112112 = 2432101688340423
BaseRepresentation
bin1001000110101110101101…
…1001011011100110110000
31022110001201100111102100100
42101223223121123212300
52303010441104041422
633143031543152400
72052200304254625
oct221535331334660
938401640442310
1010011223112112
11320a810500292
1211582aa445700
1357809236cc71
1426878d8ba34c
151256353a47ac
hex91aeb65b9b0

10011223112112 has 60 divisors (see below), whose sum is σ = 28294921468944. Its totient is φ = 3304034025600.

The previous prime is 10011223112083. The next prime is 10011223112113. The reversal of 10011223112112 is 21121132211001.

It is a happy number.

It is a super-2 number, since 2×100112231121122 (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 not an unprimeable number, because it can be changed into a prime (10011223112113) 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 11 ways as a sum of consecutive naturals, for example, 344155668 + ... + 344184755.

Almost surely, 210011223112112 is an apocalyptic number.

10011223112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011223112112 is an abundant number, since it is smaller than the sum of its proper divisors (18283698356832).

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

10011223112112 is a wasteful number, since it uses less digits than its factorization.

10011223112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688340538 (or 688340529 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10011223112112 its reverse (21121132211001), we get a palindrome (31132355323113).

The spelling of 10011223112112 in words is "ten trillion, eleven billion, two hundred twenty-three million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 688340423 1376680846 2065021269 2753361692 4130042538 5506723384 6195063807 8260085076 11013446768 12390127614 16520170152 24780255228 33040340304 49560510456 69522382723 99121020912 139044765446 208567148169 278089530892 417134296338 556179061784 625701444507 834268592676 1112358123568 1251402889014 1668537185352 2502805778028 3337074370704 5005611556056 10011223112112