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2113020032 = 271722392
BaseRepresentation
bin111110111110010…
…0010000010000000
312110021000112120012
41331330202002000
513311413120112
6545401204052
7103235242154
oct17574420200
95407015505
102113020032
11994821252
124ab790628
132789c9216
141608b9064
15c578a022
hex7df22080

2113020032 has 72 divisors (see below), whose sum is σ = 4490505885. Its totient is φ = 990201856.

The previous prime is 2113020023. The next prime is 2113020073. The reversal of 2113020032 is 2300203112.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1933888576 + 179131456 = 43976^2 + 13384^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32504.

It is a junction number, because it is equal to n+sod(n) for n = 2113019989 and 2113020016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8840969 + ... + 8841207.

Almost surely, 22113020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113020032

2113020032 is an abundant number, since it is smaller than the sum of its proper divisors (2377485853).

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

2113020032 is an frugal number, since it uses more digits than its factorization.

2113020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2113020032 is about 45967.5976313751. The cubic root of 2113020032 is about 1283.2202510055.

Multiplying 2113020032 by its product of nonzero digits (72), we get a square (152137442304 = 3900482).

Adding to 2113020032 its reverse (2300203112), we get a palindrome (4413223144).

The spelling of 2113020032 in words is "two billion, one hundred thirteen million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 239 272 289 478 544 578 956 1088 1156 1912 2176 2312 3824 4063 4624 7648 8126 9248 15296 16252 18496 30592 32504 36992 57121 65008 69071 114242 130016 138142 228484 260032 276284 456968 520064 552568 913936 971057 1105136 1827872 1942114 2210272 3655744 3884228 4420544 7311488 7768456 8841088 15536912 16507969 31073824 33015938 62147648 66031876 124295296 132063752 264127504 528255008 1056510016 2113020032