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2131432424 = 231125633911
BaseRepresentation
bin111111100001011…
…0001001111101000
312111112122222121122
41333002301033220
513331121314144
6551255554412
7103550606462
oct17702611750
95445588548
102131432424
119a4157800
124b598ba08
1327c774b24
1416310d132
15c71c57ee
hex7f0b13e8

2131432424 has 48 divisors (see below), whose sum is σ = 4401704160. Its totient is φ = 966864800.

The previous prime is 2131432423. The next prime is 2131432427. The reversal of 2131432424 is 4242341312.

It is a junction number, because it is equal to n+sod(n) for n = 2131432393 and 2131432402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131432423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543029 + ... + 546939.

It is an arithmetic number, because the mean of its divisors is an integer number (91702170).

Almost surely, 22131432424 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 2131432424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200852080).

2131432424 is an abundant number, since it is smaller than the sum of its proper divisors (2270271736).

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

2131432424 is a wasteful number, since it uses less digits than its factorization.

2131432424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4487 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 2131432424 is about 46167.4390019633. The cubic root of 2131432424 is about 1286.9367100637.

Adding to 2131432424 its reverse (4242341312), we get a palindrome (6373773736).

The spelling of 2131432424 in words is "two billion, one hundred thirty-one million, four hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 563 968 1126 2252 3911 4504 6193 7822 12386 15644 24772 31288 43021 49544 68123 86042 136246 172084 272492 344168 473231 544984 946462 1892924 2201893 3785848 4403786 8807572 17615144 24220823 48441646 96883292 193766584 266429053 532858106 1065716212 2131432424