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11213000240 = 24513103104677
BaseRepresentation
bin10100111000101100…
…01100111000110000
31001221110020102122012
422130112030320300
5140431012001430
65052353302052
7544603633541
oct123426147060
931843212565
1011213000240
1148344a0052
12220b264928
1310990b3cb0
147852b84c8
15459615695
hex29c58ce30

11213000240 has 80 divisors (see below), whose sum is σ = 28348477248. Its totient is φ = 4099949568.

The previous prime is 11213000213. The next prime is 11213000243. The reversal of 11213000240 is 4200031211.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11213000243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54782 + ... + 159458.

Almost surely, 211213000240 is an apocalyptic number.

11213000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11213000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14174238624).

11213000240 is an abundant number, since it is smaller than the sum of its proper divisors (17135477008).

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

11213000240 is a wasteful number, since it uses less digits than its factorization.

11213000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104806 (or 104800 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11213000240 its reverse (4200031211), we get a palindrome (15413031451).

The spelling of 11213000240 in words is "eleven billion, two hundred thirteen million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 130 206 208 260 412 515 520 824 1030 1040 1339 1648 2060 2678 4120 5356 6695 8240 10712 13390 21424 26780 53560 104677 107120 209354 418708 523385 837416 1046770 1360801 1674832 2093540 2721602 4187080 5443204 6804005 8374160 10781731 10886408 13608010 21563462 21772816 27216020 43126924 53908655 54432040 86253848 107817310 108864080 140162503 172507696 215634620 280325006 431269240 560650012 700812515 862538480 1121300024 1401625030 2242600048 2803250060 5606500120 11213000240