Search a number
-
+
11099030400 = 273352128461
BaseRepresentation
bin10100101011000110…
…11100001110000000
31001122111210011102000
422111203130032000
5140212322433100
65033202424000
7542021126133
oct122543341600
931574704360
1011099030400
1147861278a7
122199062000
13107b5bba13
147740cc21a
1544e601900
hex2958dc380

11099030400 has 192 divisors, whose sum is σ = 40619684400. Its totient is φ = 2959718400.

The previous prime is 11099030353. The next prime is 11099030417. The reversal of 11099030400 is 403099011.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22170 + ... + 150630.

Almost surely, 211099030400 is an apocalyptic number.

11099030400 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 11099030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20309842200).

11099030400 is an abundant number, since it is smaller than the sum of its proper divisors (29520654000).

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

11099030400 is a wasteful number, since it uses less digits than its factorization.

11099030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128494 (or 128471 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 11099030400 in words is "eleven billion, ninety-nine million, thirty thousand, four hundred".