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113022003132 = 2235552121061
BaseRepresentation
bin110100101000010100…
…0101110011110111100
3101210201200211122100000
41221100220232132330
53322432113100012
6123531021434300
711110535114133
oct1512050563674
9353650748300
10113022003132
1143a28a79865
1219aa2a0b990
13a87261653c
1456826b691a
152e17585ddc
hex1a50a2e7bc

113022003132 has 72 divisors (see below), whose sum is σ = 296343519472. Its totient is φ = 37665388800.

The previous prime is 113022003131. The next prime is 113022003163. The reversal of 113022003132 is 231300220311.

113022003132 is a `hidden beast` number, since 1 + 130 + 220 + 0 + 313 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113022003131) 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 23 ways as a sum of consecutive naturals, for example, 5355882 + ... + 5376942.

Almost surely, 2113022003132 is an apocalyptic number.

113022003132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113022003132 is an abundant number, since it is smaller than the sum of its proper divisors (183321516340).

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

113022003132 is a wasteful number, since it uses less digits than its factorization.

113022003132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26601 (or 26587 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113022003132 its reverse (231300220311), we get a palindrome (344322223443).

The spelling of 113022003132 in words is "one hundred thirteen billion, twenty-two million, three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 5521 11042 16563 21061 22084 33126 42122 49689 63183 66252 84244 99378 126366 149067 189549 198756 252732 298134 379098 447201 568647 596268 758196 894402 1137294 1341603 1705941 1788804 2274588 2683206 3411882 5117823 5366412 6823764 10235646 20471292 116277781 232555562 348833343 465111124 697666686 1046500029 1395333372 2093000058 3139500087 4186000116 6279000174 9418500261 12558000348 18837000522 28255500783 37674001044 56511001566 113022003132