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11122000020 = 2232561788889
BaseRepresentation
bin10100101101110110…
…00100000010010100
31001201010000010210200
422112323010002110
5140234213000040
65035343020500
7542420304015
oct122673040224
931633003720
1011122000020
11479809625a
1221a489a730
1310832a1a01
1477718b00c
1545163c630
hex296ec4094

11122000020 has 36 divisors (see below), whose sum is σ = 33736733940. Its totient is φ = 2965866624.

The previous prime is 11121999997. The next prime is 11122000033. The reversal of 11122000020 is 2000022111.

It can be written as a sum of positive squares in 2 ways, for example, as 1922120964 + 9199879056 = 43842^2 + 95916^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11121999966 and 11122000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30894265 + ... + 30894624.

Almost surely, 211122000020 is an apocalyptic number.

11122000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122000020 is an abundant number, since it is smaller than the sum of its proper divisors (22614733920).

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

11122000020 is a wasteful number, since it uses less digits than its factorization.

11122000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61788904 (or 61788899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11122000020 its reverse (2000022111), we get a palindrome (13122022131).

The spelling of 11122000020 in words is "eleven billion, one hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 61788889 123577778 185366667 247155556 308944445 370733334 556100001 617888890 741466668 926833335 1112200002 1235777780 1853666670 2224400004 2780500005 3707333340 5561000010 11122000020