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130211311120331 = 7131557254931899
BaseRepresentation
bin11101100110110100101110…
…111100011110111111001011
3122002001002011011011102100212
4131212310232330132333023
5114031340231121322311
61140534130040351335
736266312450454620
oct3546645674367713
9562032134142325
10130211311120331
1138542341586561
121272b9a877554b
135786b490c126c
1424223925ba347
15100c165a65c8b
hex766d2ef1efcb

130211311120331 has 16 divisors (see below), whose sum is σ = 150218112211200. Its totient is φ = 110558865524640.

The previous prime is 130211311120307. The next prime is 130211311120343. The reversal of 130211311120331 is 133021113112031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130211311120331 is a prime.

It is a super-2 number, since 2×1302113111203312 (a number of 29 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 = 130211311120297 and 130211311120306.

It is not an unprimeable number, because it can be changed into a prime (130211311120351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126955181 + ... + 127976718.

It is an arithmetic number, because the mean of its divisors is an integer number (9388632013200).

Almost surely, 2130211311120331 is an apocalyptic number.

130211311120331 is a deficient number, since it is larger than the sum of its proper divisors (20006801090869).

130211311120331 is a wasteful number, since it uses less digits than its factorization.

130211311120331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254932594.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 130211311120331 its reverse (133021113112031), we get a palindrome (263232424232362).

The spelling of 130211311120331 in words is "one hundred thirty trillion, two hundred eleven billion, three hundred eleven million, one hundred twenty thousand, three hundred thirty-one".

Divisors: 1 7 131 557 917 3899 72967 510769 254931899 1784523293 33396078769 141997067743 233772551383 993979474201 18601615874333 130211311120331