Search a number
-
+
11122113040 = 2453110343541
BaseRepresentation
bin10100101101110110…
…11111101000010000
31001201010012212211121
422112323133220100
5140234230104130
65035345252024
7542421254353
oct122673375020
931633185747
1011122113040
114798163165
1221a4934014
13108331129c
147771ba29a
15451660d7a
hex296edfa10

11122113040 has 80 divisors (see below), whose sum is σ = 26952846336. Its totient is φ = 4263436800.

The previous prime is 11122113007. The next prime is 11122113043. The reversal of 11122113040 is 4031122111.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11122113043) 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, 233670 + ... + 277210.

Almost surely, 211122113040 is an apocalyptic number.

11122113040 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 11122113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476423168).

11122113040 is an abundant number, since it is smaller than the sum of its proper divisors (15830733296).

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

11122113040 is a wasteful number, since it uses less digits than its factorization.

11122113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43688 (or 43682 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11122113040 its reverse (4031122111), we get a palindrome (15153235151).

The spelling of 11122113040 in words is "eleven billion, one hundred twenty-two million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 103 124 155 206 248 310 412 496 515 620 824 1030 1240 1648 2060 2480 3193 4120 6386 8240 12772 15965 25544 31930 43541 51088 63860 87082 127720 174164 217705 255440 348328 435410 696656 870820 1349771 1741640 2699542 3483280 4484723 5399084 6748855 8969446 10798168 13497710 17938892 21596336 22423615 26995420 35877784 44847230 53990840 71755568 89694460 107981680 139026413 179388920 278052826 358777840 556105652 695132065 1112211304 1390264130 2224422608 2780528260 5561056520 11122113040