Search a number
-
+
2100124432 = 24783263859
BaseRepresentation
bin111110100101101…
…0101101100010000
312102100202101010101
41331023111230100
513300112440212
6544220542144
7103020522520
oct17513255420
95370671111
102100124432
1198851362a
124a73b1954
132761326a3
1415ccbd680
15c458e157
hex7d2d5b10

2100124432 has 80 divisors (see below), whose sum is σ = 4729697280. Its totient is φ = 884797056.

The previous prime is 2100124391. The next prime is 2100124441. The reversal of 2100124432 is 2344210012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2444419 + ... + 2445277.

It is an arithmetic number, because the mean of its divisors is an integer number (59121216).

Almost surely, 22100124432 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 2100124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364848640).

2100124432 is an abundant number, since it is smaller than the sum of its proper divisors (2629572848).

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

2100124432 is a wasteful number, since it uses less digits than its factorization.

2100124432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2100124432 is about 45827.1145938734. The cubic root of 2100124432 is about 1280.6044573493.

Adding to 2100124432 its reverse (2344210012), we get a palindrome (4444334444).

The spelling of 2100124432 in words is "two billion, one hundred million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 263 332 526 581 664 859 1052 1162 1328 1718 1841 2104 2324 3436 3682 4208 4648 6013 6872 7364 9296 12026 13744 14728 21829 24052 29456 43658 48104 71297 87316 96208 142594 152803 174632 225917 285188 305606 349264 451834 499079 570376 611212 903668 998158 1140752 1222424 1581419 1807336 1996316 2444848 3162838 3614672 3992632 6325676 7985264 12651352 18751111 25302704 37502222 75004444 131257777 150008888 262515554 300017776 525031108 1050062216 2100124432