Search a number
-
+
32031223120 = 2451330799253
BaseRepresentation
bin11101110101001101…
…011010110101010000
310001200022101201200001
4131311031122311100
51011044443114440
622414232135344
72212522622101
oct356515326520
9101608351601
1032031223120
1112647877026
12625b237554
133036152080
14179c1103a8
15c77107b9a
hex77535ad50

32031223120 has 40 divisors (see below), whose sum is σ = 80201257416. Its totient is φ = 11826912768.

The previous prime is 32031223097. The next prime is 32031223127. The reversal of 32031223120 is 2132213023.

It can be written as a sum of positive squares in 4 ways, for example, as 98962704 + 31932260416 = 9948^2 + 178696^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32031223127) 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 7 ways as a sum of consecutive naturals, for example, 15398587 + ... + 15400666.

Almost surely, 232031223120 is an apocalyptic number.

It is an amenable number.

32031223120 is an abundant number, since it is smaller than the sum of its proper divisors (48170034296).

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

32031223120 is a wasteful number, since it uses less digits than its factorization.

32031223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30799279 (or 30799273 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 32031223120 its reverse (2132213023), we get a palindrome (34163436143).

The spelling of 32031223120 in words is "thirty-two billion, thirty-one million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 30799253 61598506 123197012 153996265 246394024 307992530 400390289 492788048 615985060 800780578 1231970120 1601561156 2001951445 2463940240 3203122312 4003902890 6406244624 8007805780 16015611560 32031223120