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11221001400 = 2335272671667
BaseRepresentation
bin10100111001101001…
…01110010010111000
31001222000021221011110
422130310232102320
5140440034021100
65053241000320
7545031636540
oct123464562270
931860257143
1011221001400
114838a65484
122211a830a0
13109a955acb
1478639c320
1545a196250
hex29cd2e4b8

11221001400 has 96 divisors (see below), whose sum is σ = 39754419840. Its totient is φ = 2564799360.

The previous prime is 11221001357. The next prime is 11221001443. The reversal of 11221001400 is 410012211.

It is a happy number.

11221001400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11221001357) and next prime (11221001443).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1331634 + ... + 1340033.

It is an arithmetic number, because the mean of its divisors is an integer number (414108540).

Almost surely, 211221001400 is an apocalyptic number.

11221001400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221001400 is an abundant number, since it is smaller than the sum of its proper divisors (28533418440).

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

11221001400 is a wasteful number, since it uses less digits than its factorization.

11221001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671693 (or 2671684 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11221001400 its reverse (410012211), we get a palindrome (11631013611).

The spelling of 11221001400 in words is "eleven billion, two hundred twenty-one million, one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 2671667 5343334 8015001 10686668 13358335 16030002 18701669 21373336 26716670 32060004 37403338 40075005 53433340 56105007 64120008 66791675 74806676 80150010 93508345 106866680 112210014 133583350 149613352 160300020 187016690 200375025 224420028 267166700 280525035 320600040 374033380 400750050 448840056 467541725 534333400 561050070 748066760 801500100 935083450 1122100140 1402625175 1603000200 1870166900 2244200280 2805250350 3740333800 5610500700 11221001400