Search a number
-
+
2115050100 = 2235223306529
BaseRepresentation
bin111111000010001…
…0001101001110100
312110101211200021220
41332010101221310
513312423100400
6545512510340
7103261425552
oct17604215164
95411750256
102115050100
11995988499
124b03ab3b0
1327925a247
14160c86bd2
15c5a3b7a0
hex7e111a74

2115050100 has 72 divisors (see below), whose sum is σ = 6385632960. Its totient is φ = 539489280.

The previous prime is 2115050059. The next prime is 2115050107. The reversal of 2115050100 is 10505112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2115050100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115050107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146365 + ... + 160164.

Almost surely, 22115050100 is an apocalyptic number.

2115050100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2115050100 is an abundant number, since it is smaller than the sum of its proper divisors (4270582860).

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

2115050100 is a wasteful number, since it uses less digits than its factorization.

2115050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306569 (or 306562 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 2115050100 is about 45989.6738409830. The cubic root of 2115050100 is about 1283.6310675180.

Adding to 2115050100 its reverse (10505112), we get a palindrome (2125555212).

The spelling of 2115050100 in words is "two billion, one hundred fifteen million, fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 306529 613058 919587 1226116 1532645 1839174 3065290 3678348 4597935 6130580 7050167 7663225 9195870 14100334 15326450 18391740 21150501 22989675 28200668 30652900 35250835 42301002 45979350 70501670 84602004 91958700 105752505 141003340 176254175 211505010 352508350 423010020 528762525 705016700 1057525050 2115050100