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11107055800 = 2352411379887
BaseRepresentation
bin10100101100000100…
…00011100010111000
31001200001212220012001
422112002003202320
5140221401241200
65034050430344
7542146262611
oct122602034270
931601786161
1011107055800
11478a709465
12219b8923b4
13108016b889
147751bac08
1545018976a
hex2960838b8

11107055800 has 96 divisors (see below), whose sum is σ = 26649544320. Its totient is φ = 4302387200.

The previous prime is 11107055737. The next prime is 11107055803. The reversal of 11107055800 is 855070111.

It is a super-3 number, since 3×111070558003 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11107055803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1118457 + ... + 1128343.

It is an arithmetic number, because the mean of its divisors is an integer number (277599420).

Almost surely, 211107055800 is an apocalyptic number.

11107055800 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 11107055800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13324772160).

11107055800 is an abundant number, since it is smaller than the sum of its proper divisors (15542488520).

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

11107055800 is a wasteful number, since it uses less digits than its factorization.

11107055800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10081 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 28.

The spelling of 11107055800 in words is "eleven billion, one hundred seven million, fifty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 137 164 200 205 274 328 410 548 685 820 1025 1096 1370 1640 2050 2740 3425 4100 5480 5617 6850 8200 9887 11234 13700 19774 22468 27400 28085 39548 44936 49435 56170 79096 98870 112340 140425 197740 224680 247175 280850 395480 405367 494350 561700 810734 988700 1123400 1354519 1621468 1977400 2026835 2709038 3242936 4053670 5418076 6772595 8107340 10134175 10836152 13545190 16214680 20268350 27090380 33862975 40536700 54180760 55535279 67725950 81073400 111070558 135451900 222141116 270903800 277676395 444282232 555352790 1110705580 1388381975 2221411160 2776763950 5553527900 11107055800