Search a number
-
+
1030201310013 = 33137299390093
BaseRepresentation
bin11101111110111001100…
…10000111101100111101
310122111010111111221021120
432333130302013230331
5113334323013410023
62105133513221153
7134300230436361
oct16773462075475
93574114457246
101030201310013
113679a6867137
121477b04017b9
13761bc286295
1437c0d4d52a1
151bbe7da78e3
hexefdcc87b3d

1030201310013 has 16 divisors (see below), whose sum is σ = 1456233417216. Its totient is φ = 646682598720.

The previous prime is 1030201309937. The next prime is 1030201310041. The reversal of 1030201310013 is 3100131020301.

It is not a de Polignac number, because 1030201310013 - 213 = 1030201301821 is a prime.

It is a super-2 number, since 2×10302013100132 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1030201309974 and 1030201310001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030201300013) 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, 149691606 + ... + 149698487.

It is an arithmetic number, because the mean of its divisors is an integer number (91014588576).

Almost surely, 21030201310013 is an apocalyptic number.

It is an amenable number.

1030201310013 is a deficient number, since it is larger than the sum of its proper divisors (426032107203).

1030201310013 is a wasteful number, since it uses less digits than its factorization.

1030201310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299390164.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1030201310013 its reverse (3100131020301), we get a palindrome (4130332330314).

The spelling of 1030201310013 in words is "one trillion, thirty billion, two hundred one million, three hundred ten thousand, thirteen".

Divisors: 1 3 31 37 93 111 1147 3441 299390093 898170279 9281092883 11077433441 27843278649 33232300323 343400436671 1030201310013