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2161242104 = 237238272029
BaseRepresentation
bin1000000011010001…
…1110111111111000
312120121202110210212
42000310132333320
513411234221404
6554242530252
7104362153250
oct20064367770
95517673725
102161242104
11a09a681aa
12503966988
132859b12a8
1416706c960
15c9b1306e
hex80d1eff8

2161242104 has 64 divisors (see below), whose sum is σ = 4840819200. Its totient is φ = 884467584.

The previous prime is 2161242103. The next prime is 2161242119. The reversal of 2161242104 is 4012421612.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 2161242104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161242103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1064162 + ... + 1066190.

It is an arithmetic number, because the mean of its divisors is an integer number (75637800).

Almost surely, 22161242104 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 2161242104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420409600).

2161242104 is an abundant number, since it is smaller than the sum of its proper divisors (2679577096).

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

2161242104 is a wasteful number, since it uses less digits than its factorization.

2161242104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2161242104 is about 46489.1611453681. The cubic root of 2161242104 is about 1292.9085472748.

Adding to 2161242104 its reverse (4012421612), we get a palindrome (6173663716).

The spelling of 2161242104 in words is "two billion, one hundred sixty-one million, two hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 827 1288 1654 2029 3308 4058 5789 6616 8116 11578 14203 16232 19021 23156 28406 38042 46312 46667 56812 76084 93334 113624 133147 152168 186668 266294 326669 373336 532588 653338 1065176 1306676 1677983 2613352 3355966 6711932 11745881 13423864 23491762 38593609 46983524 77187218 93967048 154374436 270155263 308748872 540310526 1080621052 2161242104