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1003224013011 = 321110133575889
BaseRepresentation
bin11101001100101001100…
…11111001100011010011
310112220111101222020220100
432212110303321203103
5112414100321404021
62044512540143443
7132323553260613
oct16462463714323
93486441866810
101003224013011
1135751288a660
12142521837b83
13737b01c424c
14367b06c2a43
151b169809626
hexe994cf98d3

1003224013011 has 12 divisors (see below), whose sum is σ = 1580837838840. Its totient is φ = 608014553280.

The previous prime is 1003224012991. The next prime is 1003224013013. The reversal of 1003224013011 is 1103104223001.

1003224013011 is a `hidden beast` number, since 1 + 0 + 0 + 322 + 40 + 1 + 301 + 1 = 666.

It is not a de Polignac number, because 1003224013011 - 213 = 1003224004819 is a prime.

It is a super-2 number, since 2×10032240130112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1003224013013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5066787846 + ... + 5066788043.

It is an arithmetic number, because the mean of its divisors is an integer number (131736486570).

Almost surely, 21003224013011 is an apocalyptic number.

1003224013011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1003224013011 is a deficient number, since it is larger than the sum of its proper divisors (577613825829).

1003224013011 is a wasteful number, since it uses less digits than its factorization.

1003224013011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10133575906 (or 10133575903 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1003224013011 its reverse (1103104223001), we get a palindrome (2106328236012).

The spelling of 1003224013011 in words is "one trillion, three billion, two hundred twenty-four million, thirteen thousand, eleven".

Divisors: 1 3 9 11 33 99 10133575889 30400727667 91202183001 111469334779 334408004337 1003224013011