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11442101013 = 337220727431
BaseRepresentation
bin10101010100000000…
…01001101100010101
31002112102022221211000
422222000021230111
5141413134213023
65131215533513
7553355153040
oct125200115425
932472287730
1011442101013
114941849932
122273b2a299
1311046b9b95
147a78b3c57
1546e7bc243
hex2aa009b15

11442101013 has 32 divisors (see below), whose sum is σ = 19382353920. Its totient is φ = 6535142640.

The previous prime is 11442100981. The next prime is 11442101051. The reversal of 11442101013 is 31010124411.

It is not a de Polignac number, because 11442101013 - 25 = 11442100981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442101113) 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 31 ways as a sum of consecutive naturals, for example, 403408 + ... + 430838.

It is an arithmetic number, because the mean of its divisors is an integer number (605698560).

Almost surely, 211442101013 is an apocalyptic number.

It is an amenable number.

11442101013 is a deficient number, since it is larger than the sum of its proper divisors (7940252907).

11442101013 is a wasteful number, since it uses less digits than its factorization.

11442101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29654 (or 29648 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11442101013 its reverse (31010124411), we get a palindrome (42452225424).

The spelling of 11442101013 in words is "eleven billion, four hundred forty-two million, one hundred one thousand, thirteen".

Divisors: 1 3 7 9 21 27 63 189 2207 6621 15449 19863 27431 46347 59589 82293 139041 192017 246879 417123 576051 740637 1728153 5184459 60540217 181620651 423781519 544861953 1271344557 1634585859 3814033671 11442101013