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1303031112031 = 1117436113212011
BaseRepresentation
bin10010111101100010101…
…101001110000101011111
311121120100110220220020201
4102331202231032011133
5132322101431041111
62434334302524331
7163066216463605
oct22754255160537
94546313826221
101303031112031
11462681102560
121906525966a7
1395b4c082b5c
14470d1d6d875
1523d650b26c1
hex12f62b4e15f

1303031112031 has 64 divisors (see below), whose sum is σ = 1567319542272. Its totient is φ = 1069770240000.

The previous prime is 1303031111981. The next prime is 1303031112037. The reversal of 1303031112031 is 1302111303031.

It is not a de Polignac number, because 1303031112031 - 223 = 1303022723423 is a prime.

It is a super-2 number, since 2×13030311120312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303031112037) 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 63 ways as a sum of consecutive naturals, for example, 647950816 + ... + 647952826.

It is an arithmetic number, because the mean of its divisors is an integer number (24489367848).

Almost surely, 21303031112031 is an apocalyptic number.

1303031112031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1303031112031 is a deficient number, since it is larger than the sum of its proper divisors (264288430241).

1303031112031 is a wasteful number, since it uses less digits than its factorization.

1303031112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1303031112031 its reverse (1302111303031), we get a palindrome (2605142415062).

The spelling of 1303031112031 in words is "one trillion, three hundred three billion, thirty-one million, one hundred twelve thousand, thirty-one".

Divisors: 1 11 17 43 61 187 473 671 731 1037 1321 2011 2623 8041 11407 14531 22121 22457 28853 34187 44591 56803 80581 86473 122671 247027 376057 490501 624833 886391 951203 965651 1349381 1369877 1470041 2085407 2656531 3464983 5274853 10622161 15068647 16170451 22939477 29221841 38114813 45161027 58023383 58904711 89672501 114230833 162048391 496771297 647951821 986397511 1256539163 1782532301 1941924161 2754822647 6968080813 21361165771 30303049117 76648888943 118457373821 1303031112031