Search a number
-
+
113404153200 = 243521319736901
BaseRepresentation
bin110100110011101101…
…0100000110101110000
3101211201022220212200020
41221213122200311300
53324222430400300
6124032552323440
711123155253232
oct1514732406560
9354638825606
10113404153200
1144104762868
1219b8a9a3580
13a903848240
1456bb352252
152e3adc08a0
hex1a676a0d70

113404153200 has 240 divisors, whose sum is σ = 393211770336. Its totient is φ = 27772416000.

The previous prime is 113404153147. The next prime is 113404153243. The reversal of 113404153200 is 2351404311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3054750 + ... + 3091650.

Almost surely, 2113404153200 is an apocalyptic number.

113404153200 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 113404153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196605885168).

113404153200 is an abundant number, since it is smaller than the sum of its proper divisors (279807617136).

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

113404153200 is a wasteful number, since it uses less digits than its factorization.

113404153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37132 (or 37121 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 113404153200 its reverse (2351404311), we get a palindrome (115755557511).

The spelling of 113404153200 in words is "one hundred thirteen billion, four hundred four million, one hundred fifty-three thousand, two hundred".