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1303311131322 = 231721869140213
BaseRepresentation
bin10010111101110011011…
…001011010001010111010
311121121001222211100111120
4102331303121122022322
5132323140122200242
62434422144410110
7163106156554434
oct22756331321272
94547058740446
101303311131322
1146280517a162
12190710316936
1395b950a6245
144711b221654
1523d7e9761ec
hex12f7365a2ba

1303311131322 has 48 divisors (see below), whose sum is σ = 2769189444192. Its totient is φ = 408849880320.

The previous prime is 1303311131273. The next prime is 1303311131323. The reversal of 1303311131322 is 2231311133031.

It is a junction number, because it is equal to n+sod(n) for n = 1303311131292 and 1303311131301.

It is not an unprimeable number, because it can be changed into a prime (1303311131323) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32390088 + ... + 32430300.

It is an arithmetic number, because the mean of its divisors is an integer number (57691446754).

Almost surely, 21303311131322 is an apocalyptic number.

1303311131322 is an abundant number, since it is smaller than the sum of its proper divisors (1465878312870).

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

1303311131322 is a wasteful number, since it uses less digits than its factorization.

1303311131322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58943 (or 58926 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1303311131322 its reverse (2231311133031), we get a palindrome (3534622264353).

The spelling of 1303311131322 in words is "one trillion, three hundred three billion, three hundred eleven million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 17 34 51 102 289 578 867 1734 18691 37382 40213 56073 80426 112146 120639 241278 317747 635494 683621 953241 1367242 1906482 2050863 4101726 5401699 10803398 11621557 16205097 23243114 32410194 34864671 69729342 751621183 1503242366 2254863549 4509727098 12777560111 25555120222 38332680333 76665360666 217218521887 434437043774 651655565661 1303311131322