Search a number
-
+
11131035030 = 2325271456377
BaseRepresentation
bin10100101110111011…
…00001110110010110
31001201202000011111200
422113131201312112
5140244021110110
65040304413330
7542560144113
oct122735416626
931652004450
1011131035030
1147a21a7405
1221a7917246
13108511627b
1477845d90a
154523246c0
hex297761d96

11131035030 has 48 divisors (see below), whose sum is σ = 29047546944. Its totient is φ = 2957316480.

The previous prime is 11131035029. The next prime is 11131035043. The reversal of 11131035030 is 3053013111.

11131035030 is a `hidden beast` number, since 1 + 1 + 1 + 310 + 350 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11131034994 and 11131035012.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 203799 + ... + 252578.

It is an arithmetic number, because the mean of its divisors is an integer number (605157228).

Almost surely, 211131035030 is an apocalyptic number.

11131035030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11131035030 is an abundant number, since it is smaller than the sum of its proper divisors (17916511914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131035030 is a wasteful number, since it uses less digits than its factorization.

11131035030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456661 (or 456658 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 11131035030 its reverse (3053013111), we get a palindrome (14184048141).

The spelling of 11131035030 in words is "eleven billion, one hundred thirty-one million, thirty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 271 542 813 1355 1626 2439 2710 4065 4878 8130 12195 24390 456377 912754 1369131 2281885 2738262 4107393 4563770 6845655 8214786 13691310 20536965 41073930 123678167 247356334 371034501 618390835 742069002 1113103503 1236781670 1855172505 2226207006 3710345010 5565517515 11131035030