Search a number
-
+
1109247955200 = 28355271159157
BaseRepresentation
bin10000001001000100010…
…101001001000100000000
310221001011101201120100000
4100021010111021010000
5121133214434031300
62205325333200000
7143066125023030
oct20110425110400
93831141646300
101109247955200
1139847a609680
1215ab90a90000
13807a8a33308
143b98b7c58c0
151dcc280ac00
hex10244549100

1109247955200 has 2592 divisors, whose sum is σ = 5247634129920. Its totient is φ = 225143193600.

The previous prime is 1109247955117. The next prime is 1109247955253. The reversal of 1109247955200 is 25597429011.

1109247955200 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 24 + 79 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×11092479552002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7065273522 + ... + 7065273678.

Almost surely, 21109247955200 is an apocalyptic number.

1109247955200 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 1109247955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623817064960).

1109247955200 is an abundant number, since it is smaller than the sum of its proper divisors (4138386174720).

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

1109247955200 is a wasteful number, since it uses less digits than its factorization.

1109247955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 1109247955200 in words is "one trillion, one hundred nine billion, two hundred forty-seven million, nine hundred fifty-five thousand, two hundred".