Search a number
-
+
1000123220110 = 257291013486349
BaseRepresentation
bin11101000110110111111…
…11010100000010001110
310112121111022021122200211
432203123333110002032
5112341223021020420
62043241131313034
7132153662051230
oct16433377240216
93477438248624
101000123220110
11356171536aa3
121419b72ab77a
137340797c351
1436598960250
151b0374a5e5a
hexe8dbfd408e

1000123220110 has 64 divisors (see below), whose sum is σ = 2130446448000. Its totient is φ = 330747766272.

The previous prime is 1000123220093. The next prime is 1000123220113. The reversal of 1000123220110 is 110223210001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000123220113) 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, 1813216 + ... + 2299564.

It is an arithmetic number, because the mean of its divisors is an integer number (33288225750).

Almost surely, 21000123220110 is an apocalyptic number.

1000123220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000123220110 is an abundant number, since it is smaller than the sum of its proper divisors (1130323227890).

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

1000123220110 is a wasteful number, since it uses less digits than its factorization.

1000123220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487405.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1000123220110 its reverse (110223210001), we get a palindrome (1110346430111).

The spelling of 1000123220110 in words is "one trillion, one hundred twenty-three million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 1013 1015 2026 2030 5065 7091 10130 14182 29377 35455 58754 70910 146885 205639 293770 411278 486349 972698 1028195 2056390 2431745 3404443 4863490 6808886 14104121 17022215 28208242 34044430 70520605 98728847 141041210 197457694 492671537 493644235 985343074 987288470 2463357685 3448700759 4926715370 6897401518 14287474573 17243503795 28574949146 34487007590 71437372865 100012322011 142874745730 200024644022 500061610055 1000123220110