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1122145031 = 72411134943
BaseRepresentation
bin100001011100010…
…1001001100000111
32220012111212121002
41002320221030013
54244232120111
6303203243515
736544034600
oct10270511407
92805455532
101122145031
11526470197
1227397959b
1314b635557
14a9064da7
15687ac63b
hex42e29307

1122145031 has 24 divisors (see below), whose sum is σ = 1349296704. Its totient is φ = 929886720.

The previous prime is 1122145001. The next prime is 1122145033. The reversal of 1122145031 is 1305412211.

It is not a de Polignac number, because 1122145031 - 26 = 1122144967 is a prime.

It is a super-2 number, since 2×11221450312 = 2518418941195981922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122144994 and 1122145012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122145033) 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 23 ways as a sum of consecutive naturals, for example, 224546 + ... + 229488.

It is an arithmetic number, because the mean of its divisors is an integer number (56220696).

Almost surely, 21122145031 is an apocalyptic number.

1122145031 is a deficient number, since it is larger than the sum of its proper divisors (227151673).

1122145031 is a wasteful number, since it uses less digits than its factorization.

1122145031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1122145031 is about 33498.4332618706. The cubic root of 1122145031 is about 1039.1613773828.

Adding to 1122145031 its reverse (1305412211), we get a palindrome (2427557242).

The spelling of 1122145031 in words is "one billion, one hundred twenty-two million, one hundred forty-five thousand, thirty-one".

Divisors: 1 7 41 49 113 287 791 2009 4633 4943 5537 32431 34601 202663 227017 242207 558559 1418641 3909913 9930487 22900919 27369391 160306433 1122145031