Search a number
-
+
1101001021988 = 227311325392797
BaseRepresentation
bin10000000001011000110…
…001100101101000100100
310220020212122122221202012
4100001120301211220210
5121014322230200423
62201443132533352
7142354555163000
oct20013061455044
93806778587665
101101001021988
11394a2841269a
1215946b021258
137ca932b268a
143b4083dd700
151d98d7d5078
hex10058c65a24

1101001021988 has 96 divisors (see below), whose sum is σ = 2268528864000. Its totient is φ = 467330508288.

The previous prime is 1101001021987. The next prime is 1101001022021. The reversal of 1101001021988 is 8891201001011.

It is a super-4 number, since 4×11010010219884 (a number of 49 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1101001021987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393635006 + ... + 393637802.

It is an arithmetic number, because the mean of its divisors is an integer number (23630509000).

Almost surely, 21101001021988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101001021988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134264432000).

1101001021988 is an abundant number, since it is smaller than the sum of its proper divisors (1167527842012).

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

1101001021988 is a wasteful number, since it uses less digits than its factorization.

1101001021988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 32.

Adding to 1101001021988 its reverse (8891201001011), we get a palindrome (9992202022999).

The spelling of 1101001021988 in words is "one trillion, one hundred one billion, one million, twenty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 14 28 49 98 113 196 226 343 452 686 791 1372 1582 2539 2797 3164 5078 5537 5594 10156 11074 11188 17773 19579 22148 35546 38759 39158 71092 77518 78316 124411 137053 155036 248822 274106 286907 316061 497644 548212 573814 632122 870877 959371 1147628 1264244 1741754 1918742 2008349 2212427 3483508 3837484 4016698 4424854 7101583 8033396 8849708 14058443 14203166 15486989 28116886 28406332 30973978 49711081 56233772 61947956 98409101 99422162 108408923 196818202 198844324 216817846 347977567 393636404 433635692 695955134 802478879 1391910268 1604957758 2435842969 3209915516 4871685938 5617352153 9743371876 11234704306 22469408612 39321465071 78642930142 157285860284 275250255497 550500510994 1101001021988