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8007120331 = 72163410619
BaseRepresentation
bin1110111010100001…
…01111010111001011
3202200000210212011021
413131100233113023
5112344310322311
63402312213311
7402265254100
oct73520572713
922600725137
108007120331
1134398a1021
12167569a237
139a7b67032
1455d5dcaa7
1531ce55171
hex1dd42f5cb

8007120331 has 6 divisors (see below), whose sum is σ = 9314405340. Its totient is φ = 6863245956.

The previous prime is 8007120323. The next prime is 8007120389. The reversal of 8007120331 is 1330217008.

It is not a de Polignac number, because 8007120331 - 23 = 8007120323 is a prime.

It is a super-2 number, since 2×80071203312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8007120296 and 8007120305.

It is not an unprimeable number, because it can be changed into a prime (8007120301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81705261 + ... + 81705358.

It is an arithmetic number, because the mean of its divisors is an integer number (1552400890).

Almost surely, 28007120331 is an apocalyptic number.

8007120331 is a deficient number, since it is larger than the sum of its proper divisors (1307285009).

8007120331 is a wasteful number, since it uses less digits than its factorization.

8007120331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163410633 (or 163410626 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 8007120331 is about 89482.5141075059. The cubic root of 8007120331 is about 2000.5931849651.

Adding to 8007120331 its reverse (1330217008), we get a palindrome (9337337339).

The spelling of 8007120331 in words is "eight billion, seven million, one hundred twenty thousand, three hundred thirty-one".

Divisors: 1 7 49 163410619 1143874333 8007120331