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11124124731 = 3219237733659
BaseRepresentation
bin10100101110000110…
…01010110000111011
31001201021000002100200
422113003022300323
5140240233442411
65035500333243
7542444333346
oct122703126073
931637002320
1011124124731
114799307615
1221a5544223
131083866b35
1477758145d
1545190be56
hex2970cac3b

11124124731 has 48 divisors (see below), whose sum is σ = 17676921600. Its totient is φ = 6709766976.

The previous prime is 11124124729. The next prime is 11124124747. The reversal of 11124124731 is 13742142111.

It is a happy number.

11124124731 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11124124731 - 21 = 11124124729 is a prime.

It is a super-2 number, since 2×111241247312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11124124695 and 11124124704.

It is not an unprimeable number, because it can be changed into a prime (11124124831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3038380 + ... + 3042038.

It is an arithmetic number, because the mean of its divisors is an integer number (368269200).

Almost surely, 211124124731 is an apocalyptic number.

11124124731 is a deficient number, since it is larger than the sum of its proper divisors (6552796869).

11124124731 is a wasteful number, since it uses less digits than its factorization.

11124124731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4477 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

Adding to 11124124731 its reverse (13742142111), we get a palindrome (24866266842).

The spelling of 11124124731 in words is "eleven billion, one hundred twenty-four million, one hundred twenty-four thousand, seven hundred thirty-one".

Divisors: 1 3 9 19 23 57 69 171 207 437 773 1311 2319 3659 3933 6957 10977 14687 17779 32931 44061 53337 69521 84157 132183 160011 208563 252471 337801 625689 757413 1013403 1598983 2828407 3040209 4796949 8485221 14390847 25455663 53739733 65053361 161219199 195160083 483657597 585480249 1236013859 3708041577 11124124731