Search a number
-
+
11130131010 = 235419048887
BaseRepresentation
bin10100101110110100…
…00101001001000010
31001201200022020102110
422113122011021002
5140243303143020
65040233200150
7542546360355
oct122732051102
931650266373
1011130131010
1147a173a189
1221a7560056
131084b8a94b
147782a629c
154521e68e0
hex297685242

11130131010 has 32 divisors (see below), whose sum is σ = 27363837312. Its totient is φ = 2895643520.

The previous prime is 11130130909. The next prime is 11130131021. The reversal of 11130131010 is 1013103111.

It is a super-3 number, since 3×111301310103 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4523214 + ... + 4525673.

It is an arithmetic number, because the mean of its divisors is an integer number (855119916).

Almost surely, 211130131010 is an apocalyptic number.

11130131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11130131010 is an abundant number, since it is smaller than the sum of its proper divisors (16233706302).

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

11130131010 is a wasteful number, since it uses less digits than its factorization.

11130131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9048938.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11130131010 its reverse (1013103111), we get a palindrome (12143234121).

It can be divided in two parts, 111301 and 31010, that added together give a triangular number (142311 = T533).

The spelling of 11130131010 in words is "eleven billion, one hundred thirty million, one hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 9048887 18097774 27146661 45244435 54293322 90488870 135733305 271466610 371004367 742008734 1113013101 1855021835 2226026202 3710043670 5565065505 11130131010