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113221420020 = 22325629007889
BaseRepresentation
bin110100101110010000…
…1011100001111110100
3101211020121002001212200
41221130201130033310
53323334140420040
6124002503544500
711115506122362
oct1513441341764
9354217061780
10113221420020
11440205a3705
1219b3975b130
13a8a4a282b7
1456a0d86632
152e29d27630
hex1a5c85c3f4

113221420020 has 36 divisors (see below), whose sum is σ = 343438307940. Its totient is φ = 30192378624.

The previous prime is 113221419991. The next prime is 113221420087. The reversal of 113221420020 is 20024122311.

It is a happy number.

113221420020 is a `hidden beast` number, since 1 + 1 + 3 + 221 + 420 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27341945316 + 85879474704 = 165354^2 + 293052^2 .

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 = 113221419975 and 113221420002.

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, 314503765 + ... + 314504124.

Almost surely, 2113221420020 is an apocalyptic number.

113221420020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113221420020 is an abundant number, since it is smaller than the sum of its proper divisors (230216887920).

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

113221420020 is a wasteful number, since it uses less digits than its factorization.

113221420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629007904 (or 629007899 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 113221420020 its reverse (20024122311), we get a palindrome (133245542331).

The spelling of 113221420020 in words is "one hundred thirteen billion, two hundred twenty-one million, four hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 629007889 1258015778 1887023667 2516031556 3145039445 3774047334 5661071001 6290078890 7548094668 9435118335 11322142002 12580157780 18870236670 22644284004 28305355005 37740473340 56610710010 113221420020