Search a number
-
+
1030131110013 = 32319775783941
BaseRepresentation
bin11101111110110001001…
…10010101000001111101
310122110221121102101222120
432333120212111001331
5113334202031010023
62105122524433153
7134265415650555
oct16773046250175
93573847371876
101030131110013
11367970179905
121477909a87b9
13761aa877715
1437c04060165
151bbe1b3c8e3
hexefd899507d

1030131110013 has 16 divisors (see below), whose sum is σ = 1440501169536. Its totient is φ = 653560698560.

The previous prime is 1030131110011. The next prime is 1030131110053. The reversal of 1030131110013 is 3100111310301.

It is a cyclic number.

It is not a de Polignac number, because 1030131110013 - 21 = 1030131110011 is a prime.

It is a super-2 number, since 2×10301311100132 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030131109974 and 1030131110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030131110011) 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 15 ways as a sum of consecutive naturals, for example, 37878378 + ... + 37905563.

It is an arithmetic number, because the mean of its divisors is an integer number (90031323096).

Almost surely, 21030131110013 is an apocalyptic number.

It is an amenable number.

1030131110013 is a deficient number, since it is larger than the sum of its proper divisors (410370059523).

1030131110013 is a wasteful number, since it uses less digits than its factorization.

1030131110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75784164.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1030131110013 its reverse (3100111310301), we get a palindrome (4130242420314).

The spelling of 1030131110013 in words is "one trillion, thirty billion, one hundred thirty-one million, one hundred ten thousand, thirteen".

Divisors: 1 3 23 69 197 591 4531 13593 75783941 227351823 1743030643 5229091929 14929436377 44788309131 343377036671 1030131110013