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2120233133232 = 243231874619969
BaseRepresentation
bin11110110110100111101…
…111100010010010110000
321111200200200200212010200
4132312213233202102300
5234214214140230412
64302004402155200
7306116232163134
oct36664757422260
97450620625120
102120233133232
117482053693a5
122a2ab9952b00
13124c24b36ba6
1474896b613c4
153a2436849dc
hex1eda7be24b0

2120233133232 has 60 divisors (see below), whose sum is σ = 5935571137080. Its totient is φ = 706522466304.

The previous prime is 2120233133113. The next prime is 2120233133269. The reversal of 2120233133232 is 2323313320212.

2120233133232 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 2 + 331 + 3 + 323 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2120233133196 and 2120233133205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1851057 + ... + 2768912.

It is an arithmetic number, because the mean of its divisors is an integer number (98926185618).

Almost surely, 22120233133232 is an apocalyptic number.

It is an amenable number.

2120233133232 is an abundant number, since it is smaller than the sum of its proper divisors (3815338003848).

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

2120233133232 is a wasteful number, since it uses less digits than its factorization.

2120233133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623170 (or 4623161 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2120233133232 its reverse (2323313320212), we get a palindrome (4443546453444).

The spelling of 2120233133232 in words is "two trillion, one hundred twenty billion, two hundred thirty-three million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3187 6374 9561 12748 19122 25496 28683 38244 50992 57366 76488 114732 152976 229464 458928 4619969 9239938 13859907 18479876 27719814 36959752 41579721 55439628 73919504 83159442 110879256 166318884 221758512 332637768 665275536 14723841203 29447682406 44171523609 58895364812 88343047218 117790729624 132514570827 176686094436 235581459248 265029141654 353372188872 530058283308 706744377744 1060116566616 2120233133232