Search a number
-
+
1107136441 = 171923712099
BaseRepresentation
bin100000111111101…
…1000111110111001
32212011021100200101
41001333120332321
54231411331231
6301505435401
736302335015
oct10177307671
92764240611
101107136441
11518a49aa4
1226a93bb61
131484ac028
14a7079545
15672e5661
hex41fd8fb9

1107136441 has 32 divisors (see below), whose sum is σ = 1306368000. Its totient is φ = 930504960.

The previous prime is 1107136439. The next prime is 1107136463. The reversal of 1107136441 is 1446317011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1107136441 - 21 = 1107136439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1107136141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526410 + ... + 528508.

It is an arithmetic number, because the mean of its divisors is an integer number (40824000).

Almost surely, 21107136441 is an apocalyptic number.

It is an amenable number.

1107136441 is a deficient number, since it is larger than the sum of its proper divisors (199231559).

1107136441 is a wasteful number, since it uses less digits than its factorization.

1107136441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1107136441 is about 33273.6598678294. The cubic root of 1107136441 is about 1034.5076706587.

The spelling of 1107136441 in words is "one billion, one hundred seven million, one hundred thirty-six thousand, four hundred forty-one".

Divisors: 1 17 19 23 71 323 391 437 1207 1349 1633 2099 7429 22933 27761 31027 35683 39881 48277 149029 527459 677977 820709 917263 2533493 2831551 3427667 15593471 48136367 58270339 65125673 1107136441