Search a number
-
+
1101322131 = 37132378387
BaseRepresentation
bin100000110100100…
…1101011110010011
32211202022221221120
41001221031132103
54223414302011
6301141053323
736202040460
oct10151153623
92752287846
101101322131
11515738688
122689b7243
13147224700
14a63a4667
1566a47a06
hex41a4d793

1101322131 has 48 divisors (see below), whose sum is σ = 1866564864. Its totient is φ = 565149312.

The previous prime is 1101322111. The next prime is 1101322147. The reversal of 1101322131 is 1312231011.

It is a happy number.

It is not a de Polignac number, because 1101322131 - 211 = 1101320083 is a prime.

It is a super-2 number, since 2×11013221312 = 2425820872460762322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1101322131.

It is not an unprimeable number, because it can be changed into a prime (1101322111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127120 + ... + 135506.

It is an arithmetic number, because the mean of its divisors is an integer number (38886768).

Almost surely, 21101322131 is an apocalyptic number.

1101322131 is a deficient number, since it is larger than the sum of its proper divisors (765242733).

1101322131 is a wasteful number, since it uses less digits than its factorization.

1101322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1101322131 is about 33186.1737927107. The cubic root of 1101322131 is about 1032.6935285173.

Adding to 1101322131 its reverse (1312231011), we get a palindrome (2413553142).

The spelling of 1101322131 in words is "one billion, one hundred one million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 37 39 91 111 169 259 273 481 507 777 1183 1443 3367 3549 6253 8387 10101 18759 25161 43771 58709 109031 131313 176127 310319 327093 763217 930957 1417403 2172233 2289651 4034147 4252209 6516699 9921821 12102441 28239029 29765463 52443911 84717087 157331733 367107377 1101322131