Search a number
-
+
1303401340031 = 71095872910151
BaseRepresentation
bin10010111101111000110…
…001100001110001111111
311121121022021120102120212
4102331320301201301333
5132323331220340111
62434435130103035
7163111333406540
oct22757061416177
94547267512525
101303401340031
1146285109330a
1219073657aa7b
1395baa99c18b
14471291c44c7
1523d8784498b
hex12f78c61c7f

1303401340031 has 16 divisors (see below), whose sum is σ = 1505829050880. Its totient is φ = 1105065439200.

The previous prime is 1303401340019. The next prime is 1303401340081. The reversal of 1303401340031 is 1300431043031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1303401340031 is a prime.

It is a super-2 number, since 2×13034013400312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1303401339979 and 1303401340006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303401340081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007195 + ... + 1902956.

It is an arithmetic number, because the mean of its divisors is an integer number (94114315680).

Almost surely, 21303401340031 is an apocalyptic number.

1303401340031 is a deficient number, since it is larger than the sum of its proper divisors (202427710849).

1303401340031 is a wasteful number, since it uses less digits than its factorization.

1303401340031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910854.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1303401340031 its reverse (1300431043031), we get a palindrome (2603832383062).

The spelling of 1303401340031 in words is "one trillion, three hundred three billion, four hundred one million, three hundred forty thousand, thirty-one".

Divisors: 1 7 109 587 763 4109 63983 447881 2910151 20371057 317206459 1708258637 2220445213 11957810459 186200191433 1303401340031