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11121402000 = 2435310611747
BaseRepresentation
bin10100101101110001…
…10010000010010000
31001201001212202110210
422112320302002100
5140234034331000
65035322124120
7542412233352
oct122670620220
931631782423
1011121402000
114797817a25
1221a4650640
131083122757
147770730d2
15451570350
hex296e32090

11121402000 has 160 divisors (see below), whose sum is σ = 35909737344. Its totient is φ = 2961216000.

The previous prime is 11121401959. The next prime is 11121402007. The reversal of 11121402000 is 20412111.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (11121402007) 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, 6365127 + ... + 6366873.

Almost surely, 211121402000 is an apocalyptic number.

11121402000 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 11121402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17954868672).

11121402000 is an abundant number, since it is smaller than the sum of its proper divisors (24788335344).

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

11121402000 is a wasteful number, since it uses less digits than its factorization.

11121402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2818 counting only the distinct ones).

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

Adding to 11121402000 its reverse (20412111), we get a palindrome (11141814111).

The spelling of 11121402000 in words is "eleven billion, one hundred twenty-one million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1061 1200 1500 1747 2000 2122 3000 3183 3494 4244 5241 5305 6000 6366 6988 8488 8735 10482 10610 12732 13976 15915 16976 17470 20964 21220 25464 26205 26525 27952 31830 34940 41928 42440 43675 50928 52410 53050 63660 69880 79575 83856 84880 87350 104820 106100 127320 131025 132625 139760 159150 174700 209640 212200 218375 254640 262050 265250 318300 349400 397875 419280 424400 436750 524100 530500 636600 655125 698800 795750 873500 1048200 1061000 1273200 1310250 1591500 1747000 1853567 2096400 2122000 2620500 3183000 3494000 3707134 5241000 5560701 6366000 7414268 9267835 10482000 11121402 14828536 18535670 22242804 27803505 29657072 37071340 44485608 46339175 55607010 74142680 88971216 92678350 111214020 139017525 148285360 185356700 222428040 231695875 278035050 370713400 444856080 463391750 556070100 695087625 741426800 926783500 1112140200 1390175250 1853567000 2224280400 2780350500 3707134000 5560701000 11121402000