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1105112421 = 327175917489
BaseRepresentation
bin100000111011110…
…1010110101100101
32212000110112020200
41001313222311211
54230402044141
6301354221113
736246205050
oct10167526545
92760415220
101105112421
11517897356
1226a124799
13147c5099a
14a6aada97
1567045ab6
hex41dead65

1105112421 has 48 divisors (see below), whose sum is σ = 1964476800. Its totient is φ = 584239104.

The previous prime is 1105112399. The next prime is 1105112423. The reversal of 1105112421 is 1242115011.

1105112421 is a `hidden beast` number, since 110 + 511 + 2 + 42 + 1 = 666.

It is not a de Polignac number, because 1105112421 - 25 = 1105112389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1105112394 and 1105112403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105112423) 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, 54445 + ... + 71933.

It is an arithmetic number, because the mean of its divisors is an integer number (40926600).

Almost surely, 21105112421 is an apocalyptic number.

It is an amenable number.

1105112421 is a deficient number, since it is larger than the sum of its proper divisors (859364379).

1105112421 is a wasteful number, since it uses less digits than its factorization.

1105112421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17578 (or 17575 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1105112421 is about 33243.2312057658. The cubic root of 1105112421 is about 1033.8768717174.

Adding to 1105112421 its reverse (1242115011), we get a palindrome (2347227432).

It can be divided in two parts, 1105 and 112421, that added together give a triangular number (113526 = T476).

The spelling of 1105112421 in words is "one billion, one hundred five million, one hundred twelve thousand, four hundred twenty-one".

Divisors: 1 3 7 9 17 21 51 59 63 119 153 177 357 413 531 1003 1071 1239 3009 3717 7021 9027 17489 21063 52467 63189 122423 157401 297313 367269 891939 1031851 1101807 2081191 2675817 3095553 6243573 7222957 9286659 17541467 18730719 21668871 52624401 65006613 122790269 157873203 368370807 1105112421