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11122101021012 = 22319271031799843
BaseRepresentation
bin1010000111011001000011…
…1000010110100101010100
31110101021002100021012210220
42201312100320112211110
52424211030330133022
635353231144114340
72225355013554402
oct241662070264524
943337070235726
1011122101021012
1135a894708a233
1212b76551659b0
13628a6a995c07
142a6453952472
151444a0d2985c
hexa1d90e16954

11122101021012 has 48 divisors (see below), whose sum is σ = 27318464194560. Its totient is φ = 3512110887648.

The previous prime is 11122101020983. The next prime is 11122101021013. The reversal of 11122101021012 is 21012010122111.

It is a happy number.

It is a super-2 number, since 2×111221010210122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11122101020982 and 11122101021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122101021013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5279563 + ... + 7079405.

It is an arithmetic number, because the mean of its divisors is an integer number (569134670720).

Almost surely, 211122101021012 is an apocalyptic number.

11122101021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11122101021012 is an abundant number, since it is smaller than the sum of its proper divisors (16196363173548).

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

11122101021012 is a wasteful number, since it uses less digits than its factorization.

11122101021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826972 (or 1826970 counting only the distinct ones).

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

Adding to 11122101021012 its reverse (21012010122111), we get a palindrome (32134111143123).

The spelling of 11122101021012 in words is "eleven trillion, one hundred twenty-two billion, one hundred one million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 27103 54206 81309 108412 162618 325236 514957 1029914 1544871 1799843 2059828 3089742 3599686 5399529 6179484 7199372 10799058 21598116 34197017 68394034 102591051 136788068 205182102 410364204 48781144829 97562289658 146343434487 195124579316 292686868974 585373737948 926841751751 1853683503502 2780525255253 3707367007004 5561050510506 11122101021012