Search a number
-
+
11120001011020 = 22511229220722529
BaseRepresentation
bin1010000111010001001110…
…1101011100110101001100
31110101001122222201122200001
42201310103231130311030
52424142230224323040
635352242525414044
72225251664016316
oct241642355346514
943331588648601
1011120001011020
1135a7a69744690
1212b7169a0a324
136287c48a3655
142a62d4aa27b6
151443cb7ae59a
hexa1d13b5cd4c

11120001011020 has 48 divisors (see below), whose sum is σ = 25586155677600. Its totient is φ = 4025978910720.

The previous prime is 11120001011003. The next prime is 11120001011087. The reversal of 11120001011020 is 2011010002111.

11120001011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111200010110202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11120001010988 and 11120001011006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110310885 + ... + 110411644.

It is an arithmetic number, because the mean of its divisors is an integer number (533044909950).

Almost surely, 211120001011020 is an apocalyptic number.

11120001011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120001011020 is an abundant number, since it is smaller than the sum of its proper divisors (14466154666580).

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

11120001011020 is a wasteful number, since it uses less digits than its factorization.

11120001011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220722778 (or 220722776 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11120001011020 its reverse (2011010002111), we get a palindrome (13131011013131).

The spelling of 11120001011020 in words is "eleven trillion, one hundred twenty billion, one million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 229 458 916 1145 2290 2519 4580 5038 10076 12595 25190 50380 220722529 441445058 882890116 1103612645 2207225290 2427947819 4414450580 4855895638 9711791276 12139739095 24279478190 48558956380 50545459141 101090918282 202181836564 252727295705 505454591410 556000050551 1010909182820 1112000101102 2224000202204 2780000252755 5560000505510 11120001011020