Search a number
-
+
11174247120 = 243546559363
BaseRepresentation
bin10100110100000100…
…10111101011010000
31001211202022120100110
422122002113223100
5140341101401440
65044450521320
7543623350641
oct123202275320
931752276313
1011174247120
114814631283
1221ba296240
131091065b5a
147800ab6c8
1545600d080
hex29a097ad0

11174247120 has 40 divisors (see below), whose sum is σ = 34640166816. Its totient is φ = 2979799168.

The previous prime is 11174247107. The next prime is 11174247127. The reversal of 11174247120 is 2174247111.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11174247127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23279442 + ... + 23279921.

Almost surely, 211174247120 is an apocalyptic number.

11174247120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11174247120 is an abundant number, since it is smaller than the sum of its proper divisors (23465919696).

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

11174247120 is a wasteful number, since it uses less digits than its factorization.

11174247120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46559379 (or 46559373 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

Subtracting from 11174247120 its reverse (2174247111), we obtain a palindrome (9000000009).

The spelling of 11174247120 in words is "eleven billion, one hundred seventy-four million, two hundred forty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 46559363 93118726 139678089 186237452 232796815 279356178 372474904 465593630 558712356 698390445 744949808 931187260 1117424712 1396780890 1862374520 2234849424 2793561780 3724749040 5587123560 11174247120