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11320100 = 22521141251
BaseRepresentation
bin101011001011…
…101100100100
3210022010020222
4223023230210
510344220400
61042343512
7165135131
oct53135444
923263228
1011320100
116431a60
12395ab98
1324646ac
141709588
15ed9185
hexacbb24

11320100 has 72 divisors (see below), whose sum is σ = 27560736. Its totient is φ = 4000000.

The previous prime is 11320097. The next prime is 11320129. The reversal of 11320100 is 102311.

11320100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 44975 + ... + 45225.

It is an arithmetic number, because the mean of its divisors is an integer number (382788).

Almost surely, 211320100 is an apocalyptic number.

11320100 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 11320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780368).

11320100 is an abundant number, since it is smaller than the sum of its proper divisors (16240636).

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

11320100 is a wasteful number, since it uses less digits than its factorization.

11320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 11320100 is about 3364.5356291768. The cubic root of 11320100 is about 224.5346761846.

Adding to 11320100 its reverse (102311), we get a palindrome (11422411).

The spelling of 11320100 in words is "eleven million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 251 275 410 451 502 550 820 902 1004 1025 1100 1255 1804 2050 2255 2510 2761 4100 4510 5020 5522 6275 9020 10291 11044 11275 12550 13805 20582 22550 25100 27610 41164 45100 51455 55220 69025 102910 113201 138050 205820 226402 257275 276100 452804 514550 566005 1029100 1132010 2264020 2830025 5660050 11320100