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11200401420 = 22351326953381
BaseRepresentation
bin10100110111001100…
…01001000000001100
31001220120112100022020
422123212021000030
5140414300321140
65051223250140
7544361561355
oct123346110014
931816470266
1011200401420
1148283753aa
122206ba9950
1310965c2580
14783758d2c
154584776d0
hex29b98900c

11200401420 has 96 divisors (see below), whose sum is σ = 33899705280. Its totient is φ = 2746721280.

The previous prime is 11200401419. The next prime is 11200401427. The reversal of 11200401420 is 2410400211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11200401420.

It is not an unprimeable number, because it can be changed into a prime (11200401427) by changing a digit.

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, 183130 + ... + 236510.

It is an arithmetic number, because the mean of its divisors is an integer number (353121930).

Almost surely, 211200401420 is an apocalyptic number.

11200401420 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 11200401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16949852640).

11200401420 is an abundant number, since it is smaller than the sum of its proper divisors (22699303860).

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

11200401420 is a wasteful number, since it uses less digits than its factorization.

11200401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53675 (or 53673 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11200401420 its reverse (2410400211), we get a palindrome (13610801631).

The spelling of 11200401420 in words is "eleven billion, two hundred million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 269 390 538 780 807 1076 1345 1614 2690 3228 3497 4035 5380 6994 8070 10491 13988 16140 17485 20982 34970 41964 52455 53381 69940 104910 106762 160143 209820 213524 266905 320286 533810 640572 693953 800715 1067620 1387906 1601430 2081859 2775812 3202860 3469765 4163718 6939530 8327436 10409295 13879060 14359489 20818590 28718978 41637180 43078467 57437956 71797445 86156934 143594890 172313868 186673357 215392335 287189780 373346714 430784670 560020071 746693428 861569340 933366785 1120040142 1866733570 2240080284 2800100355 3733467140 5600200710 11200401420