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11300222010 = 2357116773013
BaseRepresentation
bin10101000011000101…
…11011010000111010
31002011112100202102010
422201202323100322
5141120324101020
65105150550350
7550013205450
oct124142732072
932145322363
1011300222010
114879754060
1222345083b6
1310b11a24cc
14792b009d0
154620e3de0
hex2a18bb43a

11300222010 has 128 divisors (see below), whose sum is σ = 34317748224. Its totient is φ = 2313020160.

The previous prime is 11300221991. The next prime is 11300222027. The reversal of 11300222010 is 1022200311.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118264 + ... + 191276.

It is an arithmetic number, because the mean of its divisors is an integer number (268107408).

Almost surely, 211300222010 is an apocalyptic number.

11300222010 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 11300222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17158874112).

11300222010 is an abundant number, since it is smaller than the sum of its proper divisors (23017526214).

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

11300222010 is a wasteful number, since it uses less digits than its factorization.

11300222010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73108.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11300222010 its reverse (1022200311), we get a palindrome (12322422321).

The spelling of 11300222010 in words is "eleven billion, three hundred million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 67 70 77 105 110 134 154 165 201 210 231 330 335 385 402 462 469 670 737 770 938 1005 1155 1407 1474 2010 2211 2310 2345 2814 3685 4422 4690 5159 7035 7370 10318 11055 14070 15477 22110 25795 30954 51590 73013 77385 146026 154770 219039 365065 438078 511091 730130 803143 1022182 1095195 1533273 1606286 2190390 2409429 2555455 3066546 4015715 4818858 4891871 5110910 5622001 7666365 8031430 9783742 11244002 12047145 14675613 15332730 16866003 24094290 24459355 28110005 29351226 33732006 34243097 48918710 53810581 56220010 68486194 73378065 84330015 102729291 107621162 146756130 161431743 168660030 171215485 205458582 269052905 322863486 342430970 376674067 513646455 538105810 753348134 807158715 1027292910 1130022201 1614317430 1883370335 2260044402 3766740670 5650111005 11300222010