Search a number
-
+
11230808600 = 23521121727299
BaseRepresentation
bin10100111010110100…
…01000101000011000
31001222200202012010002
422131122020220120
5141000041333400
65054231112132
7545211204134
oct123532105030
931880665102
1011230808600
114843553800
122215212648
13109c9aa99b
147877d23c4
1545ae81ed5
hex29d688a18

11230808600 has 144 divisors (see below), whose sum is σ = 30390633000. Its totient is φ = 3843558400.

The previous prime is 11230808599. The next prime is 11230808623. The reversal of 11230808600 is 680803211.

It is a super-2 number, since 2×112308086002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 397751 + ... + 425049.

Almost surely, 211230808600 is an apocalyptic number.

11230808600 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 11230808600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195316500).

11230808600 is an abundant number, since it is smaller than the sum of its proper divisors (19159824400).

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

11230808600 is a wasteful number, since it uses less digits than its factorization.

11230808600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27354 (or 27334 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 11230808600 in words is "eleven billion, two hundred thirty million, eight hundred eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 121 136 170 187 200 220 242 275 340 374 425 440 484 550 605 680 748 850 935 968 1100 1210 1496 1700 1870 2057 2200 2420 3025 3400 3740 4114 4675 4840 6050 7480 8228 9350 10285 12100 16456 18700 20570 24200 27299 37400 41140 51425 54598 82280 102850 109196 136495 205700 218392 272990 300289 411400 464083 545980 600578 682475 928166 1091960 1201156 1364950 1501445 1856332 2320415 2402312 2729900 3002890 3303179 3712664 4640830 5104913 5459800 6005780 6606358 7507225 9281660 10209826 11602075 12011560 13212716 15014450 16515895 18563320 20419652 23204150 25524565 26425432 30028900 33031790 40839304 46408300 51049130 56154043 60057800 66063580 82579475 92816600 102098260 112308086 127622825 132127160 165158950 204196520 224616172 255245650 280770215 330317900 449232344 510491300 561540430 660635800 1020982600 1123080860 1403851075 2246161720 2807702150 5615404300 11230808600