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2120131224 = 233230679601
BaseRepresentation
bin111111001011110…
…1010001010011000
312110202101211021200
41332113222022120
513320223144344
6550213434200
7103352550411
oct17627521230
95422354250
102120131224
11998838a72
124b203b960
1327a318c23
1416180a808
15c61e2069
hex7e5ea298

2120131224 has 48 divisors (see below), whose sum is σ = 5744492520. Its totient is φ = 706406400.

The previous prime is 2120131157. The next prime is 2120131243. The reversal of 2120131224 is 4221310212.

It is a happy number.

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 = 2120131197 and 2120131206.

It is a congruent number.

It is an unprimeable number.

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, 216024 + ... + 225624.

Almost surely, 22120131224 is an apocalyptic number.

2120131224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2120131224 is an abundant number, since it is smaller than the sum of its proper divisors (3624361296).

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

2120131224 is a wasteful number, since it uses less digits than its factorization.

2120131224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12680 (or 12673 counting only the distinct ones).

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

The square root of 2120131224 is about 46044.8827124144. The cubic root of 2120131224 is about 1284.6581625909.

Adding to 2120131224 its reverse (4221310212), we get a palindrome (6341441436).

It can be divided in two parts, 21201 and 31224, that added together give a palindrome (52425).

The spelling of 2120131224 in words is "two billion, one hundred twenty million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3067 6134 9201 9601 12268 18402 19202 24536 27603 28803 36804 38404 55206 57606 73608 76808 86409 110412 115212 172818 220824 230424 345636 691272 29446267 58892534 88338801 117785068 176677602 235570136 265016403 353355204 530032806 706710408 1060065612 2120131224