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11121200020 = 2257677116699
BaseRepresentation
bin10100101101110000…
…00000101110010100
31001201001111111102001
422112320000232110
5140234011400040
65035313525044
7542410432450
oct122670005624
931631444361
1011121200020
11479769a1a7
1221a4573784
131083081838
1477701d660
1545153059a
hex296e00b94

11121200020 has 96 divisors (see below), whose sum is σ = 27472435200. Its totient is φ = 3702948480.

The previous prime is 11121200009. The next prime is 11121200047. The reversal of 11121200020 is 2000212111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657631 + ... + 674329.

It is an arithmetic number, because the mean of its divisors is an integer number (286171200).

Almost surely, 211121200020 is an apocalyptic number.

11121200020 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 11121200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13736217600).

11121200020 is an abundant number, since it is smaller than the sum of its proper divisors (16351235180).

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

11121200020 is a wasteful number, since it uses less digits than its factorization.

11121200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16853 (or 16851 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11121200020 its reverse (2000212111), we get a palindrome (13121412131).

The spelling of 11121200020 in words is "eleven billion, one hundred twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 71 134 140 142 268 284 335 355 469 497 670 710 938 994 1340 1420 1876 1988 2345 2485 4690 4757 4970 9380 9514 9940 16699 19028 23785 33299 33398 47570 66598 66796 83495 95140 116893 133196 166495 166990 233786 332990 333980 467572 584465 665980 1118833 1168930 1185629 2237666 2337860 2371258 4475332 4742516 5594165 5928145 7831831 8299403 11188330 11856290 15663662 16598806 22376660 23712580 31327324 33197612 39159155 41497015 78318310 79437143 82994030 156636620 158874286 165988060 317748572 397185715 556060001 794371430 1112120002 1588742860 2224240004 2780300005 5560600010 11121200020