Search a number
-
+
1121022010000 = 2454611837741
BaseRepresentation
bin10000010100000010000…
…111100110001010010000
310222011112221200112010201
4100110002013212022100
5121331323113310000
62214553532104544
7143663653602304
oct20240207461220
93864487615121
101121022010000
113a2471777282
12161318005154
1381934128349
143c3873c9d04
151e2612e996a
hex105021e6290

1121022010000 has 100 divisors (see below), whose sum is σ = 2758601436844. Its totient is φ = 441057600000.

The previous prime is 1121022009977. The next prime is 1121022010001. The reversal of 1121022010000 is 102201211.

It can be written as a sum of positive squares in 10 ways, for example, as 1075642785424 + 45379224576 = 1037132^2 + 213024^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is not an unprimeable number, because it can be changed into a prime (1121022010001) 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 19 ways as a sum of consecutive naturals, for example, 308871 + ... + 1528870.

Almost surely, 21121022010000 is an apocalyptic number.

1121022010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121022010000 is an abundant number, since it is smaller than the sum of its proper divisors (1637579426844).

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

1121022010000 is an equidigital number, since it uses as much as digits as its factorization.

1121022010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837830 (or 1837809 counting only the distinct ones).

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

Adding to 1121022010000 its reverse (102201211), we get a palindrome (1121124211211).

The spelling of 1121022010000 in words is "one trillion, one hundred twenty-one billion, twenty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 625 976 1000 1220 1250 1525 2000 2440 2500 3050 4880 5000 6100 7625 10000 12200 15250 24400 30500 38125 61000 76250 122000 152500 305000 610000 1837741 3675482 7350964 9188705 14701928 18377410 29403856 36754820 45943525 73509640 91887050 112102201 147019280 183774100 224204402 229717625 367548200 448408804 459435250 560511005 735096400 896817608 918870500 1121022010 1148588125 1793635216 1837741000 2242044020 2297176250 2802555025 3675482000 4484088040 4594352500 5605110050 8968176080 9188705000 11210220100 14012775125 18377410000 22420440200 28025550250 44840880400 56051100500 70063875625 112102201000 140127751250 224204402000 280255502500 560511005000 1121022010000