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11300401420 = 22571118613943
BaseRepresentation
bin10101000011000111…
…00111000100001100
31002011112200212111221
422201203213010030
5141120400321140
65105154453124
7550014553510
oct124143470414
932145625457
1011300401420
114879866930
1222345941a4
1310b1236079
14792b4a140
1546212c14a
hex2a18e710c

11300401420 has 96 divisors (see below), whose sum is σ = 29609911296. Its totient is φ = 3519417600.

The previous prime is 11300401391. The next prime is 11300401429. The reversal of 11300401420 is 2410400311.

It is a junction number, because it is equal to n+sod(n) for n = 11300401394 and 11300401403.

It is not an unprimeable number, because it can be changed into a prime (11300401429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2863969 + ... + 2867911.

It is an arithmetic number, because the mean of its divisors is an integer number (308436576).

Almost surely, 211300401420 is an apocalyptic number.

11300401420 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 11300401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14804955648).

11300401420 is an abundant number, since it is smaller than the sum of its proper divisors (18309509876).

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

11300401420 is a wasteful number, since it uses less digits than its factorization.

11300401420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11300401420 its reverse (2410400311), we get a palindrome (13710801731).

The spelling of 11300401420 in words is "eleven billion, three hundred million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1861 3722 3943 7444 7886 9305 13027 15772 18610 19715 20471 26054 27601 37220 39430 40942 43373 52108 55202 65135 78860 81884 86746 102355 110404 130270 138005 143297 173492 204710 216865 260540 276010 286594 303611 409420 433730 552020 573188 607222 716485 867460 1214444 1432970 1518055 2865940 3036110 6072220 7337923 14675846 29351692 36689615 51365461 73379230 80717153 102730922 146758460 161434306 205461844 256827305 322868612 403585765 513654610 565020071 807171530 1027309220 1130040142 1614343060 2260080284 2825100355 5650200710 11300401420