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11300112210 = 2357122723371
BaseRepresentation
bin10101000011000101…
…00000011101010010
31002011112011011210110
422201202200131102
5141120312042320
65105144342150
7550012240362
oct124142403522
932145134713
1011300112210
114879689612
122234474956
1310b116453a
14792ab29a2
154620c15e0
hex2a18a0752

11300112210 has 64 divisors (see below), whose sum is σ = 27624582144. Its totient is φ = 2957707200.

The previous prime is 11300112203. The next prime is 11300112223. The reversal of 11300112210 is 1221100311.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 471825 + ... + 495195.

It is an arithmetic number, because the mean of its divisors is an integer number (431634096).

Almost surely, 211300112210 is an apocalyptic number.

11300112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812291072).

11300112210 is an abundant number, since it is smaller than the sum of its proper divisors (16324469934).

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

11300112210 is a wasteful number, since it uses less digits than its factorization.

11300112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23679.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11300112210 its reverse (1221100311), we get a palindrome (12521212521).

The spelling of 11300112210 in words is "eleven billion, three hundred million, one hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 227 355 426 454 681 710 1065 1135 1362 2130 2270 3405 6810 16117 23371 32234 46742 48351 70113 80585 96702 116855 140226 161170 233710 241755 350565 483510 701130 1659341 3318682 4978023 5305217 8296705 9956046 10610434 15915651 16593410 24890115 26526085 31831302 49780230 53052170 79578255 159156510 376670407 753340814 1130011221 1883352035 2260022442 3766704070 5650056105 11300112210