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1303122321220 = 225113576602797
BaseRepresentation
bin10010111101101000001…
…001001001111101000100
311121120120211112210201211
4102331220021021331010
5132322243303234340
62434351321501204
7163101404653606
oct22755011117504
94546524483654
101303122321220
1146271863a355
12190679041804
1395b64c392a5
1447100113176
1523d6d0cc5ea
hex12f68249f44

1303122321220 has 24 divisors (see below), whose sum is σ = 2760774196824. Its totient is φ = 516636105216.

The previous prime is 1303122321211. The next prime is 1303122321229. The reversal of 1303122321220 is 221232213031.

It is an interprime number because it is at equal distance from previous prime (1303122321211) and next prime (1303122321229).

It can be written as a sum of positive squares in 4 ways, for example, as 3736632384 + 1299385688836 = 61128^2 + 1139906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1303122321191 and 1303122321200.

It is not an unprimeable number, because it can be changed into a prime (1303122321229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288299139 + ... + 288303658.

It is an arithmetic number, because the mean of its divisors is an integer number (115032258201).

Almost surely, 21303122321220 is an apocalyptic number.

1303122321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303122321220 is an abundant number, since it is smaller than the sum of its proper divisors (1457651875604).

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

1303122321220 is a wasteful number, since it uses less digits than its factorization.

1303122321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576602919 (or 576602917 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1303122321220 its reverse (221232213031), we get a palindrome (1524354534251).

The spelling of 1303122321220 in words is "one trillion, three hundred three billion, one hundred twenty-two million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 576602797 1153205594 2306411188 2883013985 5766027970 11532055940 65156116061 130312232122 260624464244 325780580305 651561160610 1303122321220