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1200142031333 = 72291137474121
BaseRepresentation
bin10001011101101110000…
…010100001100111100101
311020201202221222001100012
4101131232002201213211
5124130342330000313
62315200532500005
7152464431643400
oct21355602414745
94221687861305
101200142031333
11422a82986363
1217471917a605
1389232b5680b
144213133ad37
15213423e3da8
hex1176e0a19e5

1200142031333 has 24 divisors (see below), whose sum is σ = 1457005342680. Its totient is φ = 984431293440.

The previous prime is 1200142031233. The next prime is 1200142031353. The reversal of 1200142031333 is 3331302410021.

It can be written as a sum of positive squares in 4 ways, for example, as 48808739329 + 1151333292004 = 220927^2 + 1073002^2 .

It is not a de Polignac number, because 1200142031333 - 212 = 1200142027237 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1200142031299 and 1200142031308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200142031353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3576488 + ... + 3897633.

It is an arithmetic number, because the mean of its divisors is an integer number (60708555945).

Almost surely, 21200142031333 is an apocalyptic number.

It is an amenable number.

1200142031333 is a deficient number, since it is larger than the sum of its proper divisors (256863311347).

1200142031333 is a wasteful number, since it uses less digits than its factorization.

1200142031333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7474277 (or 7474270 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1200142031333 its reverse (3331302410021), we get a palindrome (4531444441354).

The spelling of 1200142031333 in words is "one trillion, two hundred billion, one hundred forty-two million, thirty-one thousand, three hundred thirty-three".

Divisors: 1 7 29 49 113 203 791 1421 3277 5537 22939 160573 7474121 52318847 216749509 366231929 844575673 1517246563 5912029711 10620725941 24492694517 41384207977 171448861619 1200142031333