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11200313010 = 2352914838681
BaseRepresentation
bin10100110111001011…
…10011011010110010
31001220120100212000210
422123211303122302
5140414240004020
65051221324550
7544361042535
oct123345633262
931816325023
1011200313010
114828314a37
122206b66756
131096591263
14783734a1c
1545845b3e0
hex29b9736b2

11200313010 has 64 divisors (see below), whose sum is σ = 27829630080. Its totient is φ = 2881482240.

The previous prime is 11200312987. The next prime is 11200313027. The reversal of 11200313010 is 1031300211.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1285870 + ... + 1294550.

It is an arithmetic number, because the mean of its divisors is an integer number (434837970).

Almost surely, 211200313010 is an apocalyptic number.

11200313010 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 11200313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13914815040).

11200313010 is an abundant number, since it is smaller than the sum of its proper divisors (16629317070).

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

11200313010 is a wasteful number, since it uses less digits than its factorization.

11200313010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10203.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11200313010 its reverse (1031300211), we get a palindrome (12231613221).

The spelling of 11200313010 in words is "eleven billion, two hundred million, three hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 1483 2966 4449 7415 8681 8898 14830 17362 22245 26043 43007 43405 44490 52086 86014 86810 129021 130215 215035 251749 258042 260430 430070 503498 645105 755247 1258745 1290210 1510494 2517490 3776235 7552470 12873923 25747846 38621769 64369615 77243538 128739230 193108845 373343767 386217690 746687534 1120031301 1866718835 2240062602 3733437670 5600156505 11200313010