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11320223220 = 2232562890129
BaseRepresentation
bin10101000101011110…
…01110010111110100
31002012220222220220200
422202233032113310
5141140434120340
65111143400500
7550345211145
oct124257162764
932186886820
1011320223220
114889a75289
12223b153130
1310b5386347
14795629acc
15463c45330
hex2a2bce5f4

11320223220 has 36 divisors (see below), whose sum is σ = 34338010980. Its totient is φ = 3018726144.

The previous prime is 11320223209. The next prime is 11320223251. The reversal of 11320223220 is 2232202311.

11320223220 is a `hidden beast` number, since 1 + 1 + 320 + 22 + 322 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6809220324 + 4511002896 = 82518^2 + 67164^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 11320223193 and 11320223202.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 31444885 + ... + 31445244.

Almost surely, 211320223220 is an apocalyptic number.

11320223220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11320223220 is an abundant number, since it is smaller than the sum of its proper divisors (23017787760).

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

11320223220 is a wasteful number, since it uses less digits than its factorization.

11320223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62890144 (or 62890139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11320223220 its reverse (2232202311), we get a palindrome (13552425531).

The spelling of 11320223220 in words is "eleven billion, three hundred twenty million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 62890129 125780258 188670387 251560516 314450645 377340774 566011161 628901290 754681548 943351935 1132022322 1257802580 1886703870 2264044644 2830055805 3773407740 5660111610 11320223220