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11131103310 = 2353716136217
BaseRepresentation
bin10100101110111011…
…10010100001001110
31001201202010122011120
422113131302201032
5140244030301220
65040310101410
7542560550145
oct122735624116
931652118146
1011131103310
1147a2243738
1221a794a866
13108513b382
1477847a75c
15452339a40
hex29777284e

11131103310 has 64 divisors (see below), whose sum is σ = 27458091072. Its totient is φ = 2885815296.

The previous prime is 11131103309. The next prime is 11131103327. The reversal of 11131103310 is 1330113111.

It is a super-2 number, since 2×111311033102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11131103310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1787322 + ... + 1793538.

It is an arithmetic number, because the mean of its divisors is an integer number (429032673).

Almost surely, 211131103310 is an apocalyptic number.

11131103310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13729045536).

11131103310 is an abundant number, since it is smaller than the sum of its proper divisors (16326987762).

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

11131103310 is a wasteful number, since it uses less digits than its factorization.

11131103310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7877.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 11131103310 its reverse (1330113111), we get a palindrome (12461216421).

The spelling of 11131103310 in words is "eleven billion, one hundred thirty-one million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1613 3226 4839 6217 8065 9678 12434 16130 18651 24195 31085 37302 48390 59681 62170 93255 119362 179043 186510 230029 298405 358086 460058 596810 690087 895215 1150145 1380174 1790430 2300290 3450435 6900870 10028021 20056042 30084063 50140105 60168126 100280210 150420315 300840630 371036777 742073554 1113110331 1855183885 2226220662 3710367770 5565551655 11131103310