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1303213322123 = 37437112139511
BaseRepresentation
bin10010111101101101100…
…100010010111110001011
311121120211011210010111122
4102331231210102332023
5132322440102301443
62434404332145455
7163103561315426
oct22755544227613
94546734703448
101303213322123
11462764a44709
121906a360828b
1395b7aa4b98b
144710c2409bd
1523d760a5968
hex12f6d912f8b

1303213322123 has 32 divisors (see below), whose sum is σ = 1390142426112. Its totient is φ = 1219924540800.

The previous prime is 1303213322119. The next prime is 1303213322149. The reversal of 1303213322123 is 3212233123031.

It is a cyclic number.

It is not a de Polignac number, because 1303213322123 - 22 = 1303213322119 is a prime.

It is a super-2 number, since 2×13032133221232 (a number of 25 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 = 1303213322092 and 1303213322101.

It is not an unprimeable number, because it can be changed into a prime (1303213322153) 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 31 ways as a sum of consecutive naturals, for example, 137016938 + ... + 137026448.

It is an arithmetic number, because the mean of its divisors is an integer number (43441950816).

Almost surely, 21303213322123 is an apocalyptic number.

1303213322123 is a deficient number, since it is larger than the sum of its proper divisors (86929103989).

1303213322123 is a wasteful number, since it uses less digits than its factorization.

1303213322123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10875.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 1303213322123 its reverse (3212233123031), we get a palindrome (4515446445154).

The spelling of 1303213322123 in words is "one trillion, three hundred three billion, two hundred thirteen million, three hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 37 43 71 1213 1591 2627 3053 9511 44881 52159 86123 112961 351907 408973 675281 1929883 3186551 3703289 11536843 15132001 24985397 29037083 137021693 426863191 496084249 819115853 1074372071 18355117213 30307286561 35221981679 1303213322123