Search a number
-
+
11314100100 = 22352172218451
BaseRepresentation
bin10101000100101111…
…10111011110000100
31002012111110211120110
422202113313132010
5141132402200400
65110404233020
7550242156402
oct124227673604
932174424513
1011314100100
114886572956
12223909b770
1310b40212b4
147948b4472
15463435e50
hex2a25f7784

11314100100 has 72 divisors (see below), whose sum is σ = 34661094048. Its totient is φ = 2839616000.

The previous prime is 11314100089. The next prime is 11314100141. The reversal of 11314100100 is 100141311.

It is a super-2 number, since 2×113141001002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104126 + ... + 1114325.

It is an arithmetic number, because the mean of its divisors is an integer number (481404084).

Almost surely, 211314100100 is an apocalyptic number.

11314100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314100100 is an abundant number, since it is smaller than the sum of its proper divisors (23346993948).

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

11314100100 is a wasteful number, since it uses less digits than its factorization.

11314100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218485 (or 2218478 counting only the distinct ones).

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

Adding to 11314100100 its reverse (100141311), we get a palindrome (11414241411).

The spelling of 11314100100 in words is "eleven billion, three hundred fourteen million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 2218451 4436902 6655353 8873804 11092255 13310706 22184510 26621412 33276765 37713667 44369020 55461275 66553530 75427334 110922550 113141001 133107060 150854668 166383825 188568335 221845100 226282002 332767650 377136670 452564004 565705005 665535300 754273340 942841675 1131410010 1885683350 2262820020 2828525025 3771366700 5657050050 11314100100