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11033413131 = 3131223231323
BaseRepresentation
bin10100100011010010…
…01000011000001011
31001110221022110102210
422101221020120023
5140044023210011
65022500200203
7540263315136
oct122151103013
931427273383
1011033413131
11475208a654
12217b099063
13106ab26030
147694cb21d
1544898e6a6
hex291a4860b

11033413131 has 16 divisors (see below), whose sum is σ = 15855872256. Its totient is φ = 6784211616.

The previous prime is 11033413121. The next prime is 11033413141. The reversal of 11033413131 is 13131433011.

It is an interprime number because it is at equal distance from previous prime (11033413121) and next prime (11033413141).

It is not a de Polignac number, because 11033413131 - 26 = 11033413067 is a prime.

It is a super-2 number, since 2×110334131312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11033413098 and 11033413107.

It is not an unprimeable number, because it can be changed into a prime (11033413121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67965 + ... + 163358.

It is an arithmetic number, because the mean of its divisors is an integer number (990992016).

Almost surely, 211033413131 is an apocalyptic number.

11033413131 is a deficient number, since it is larger than the sum of its proper divisors (4822459125).

11033413131 is a wasteful number, since it uses less digits than its factorization.

11033413131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232562.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11033413131 its reverse (13131433011), we get a palindrome (24164846142).

The spelling of 11033413131 in words is "eleven billion, thirty-three million, four hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 13 39 1223 3669 15899 47697 231323 693969 3007199 9021597 282908029 848724087 3677804377 11033413131