Search a number
-
+
290111101110 = 232525931124309
BaseRepresentation
bin1000011100010111111…
…10000001100010110110
31000201211100012220200200
410032023332001202312
514223121420213420
6341135235421330
726650136446335
oct4161376014266
91021740186620
10290111101110
11102043176196
1248285754846
1321485170a4c
1410081a5dd1c
15782e449b90
hex438bf818b6

290111101110 has 48 divisors (see below), whose sum is σ = 754324019280. Its totient is φ = 77359354560.

The previous prime is 290111101109. The next prime is 290111101153. The reversal of 290111101110 is 11101111092.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2271636 + ... + 2395944.

It is an arithmetic number, because the mean of its divisors is an integer number (15715083735).

Almost surely, 2290111101110 is an apocalyptic number.

290111101110 is an abundant number, since it is smaller than the sum of its proper divisors (464212918170).

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

290111101110 is a wasteful number, since it uses less digits than its factorization.

290111101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150253 (or 150250 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 290111101110 in words is "two hundred ninety billion, one hundred eleven million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 25931 51862 77793 124309 129655 155586 233379 248618 259310 372927 388965 466758 621545 745854 777930 1118781 1166895 1243090 1864635 2237562 2333790 3729270 5593905 11187810 3223456679 6446913358 9670370037 16117283395 19340740074 29011110111 32234566790 48351850185 58022220222 96703700370 145055550555 290111101110