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1011030311213 = 13256910513933
BaseRepresentation
bin11101011011001100001…
…10100100000100101101
310120122122102220021212222
432231212012210010231
5113031042224424323
62052243320205125
7133021162564526
oct16554606440455
93518572807788
101011030311213
1135a859286a7a
12143b400097a5
1374455576a00
1436d1136784d
151b474ce19c8
hexeb661a412d

1011030311213 has 12 divisors (see below), whose sum is σ = 1096708455540. Its totient is φ = 931618486656.

The previous prime is 1011030311177. The next prime is 1011030311231. The reversal of 1011030311213 is 3121130301101.

It can be written as a sum of positive squares in 6 ways, for example, as 572015404489 + 439014906724 = 756317^2 + 662582^2 .

It is not a de Polignac number, because 1011030311213 - 26 = 1011030311149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011030311191 and 1011030311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011030314213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5160806 + ... + 5353127.

It is an arithmetic number, because the mean of its divisors is an integer number (91392371295).

Almost surely, 21011030311213 is an apocalyptic number.

1011030311213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1011030311213 is a deficient number, since it is larger than the sum of its proper divisors (85678144327).

1011030311213 is a wasteful number, since it uses less digits than its factorization.

1011030311213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10514528 (or 10514515 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1011030311213 its reverse (3121130301101), we get a palindrome (4132160612314).

The spelling of 1011030311213 in words is "one trillion, eleven billion, thirty million, three hundred eleven thousand, two hundred thirteen".

Divisors: 1 13 169 569 7397 96161 10513933 136681129 1776854677 5982427877 77771562401 1011030311213