Search a number
-
+
2122113040 = 245191396127
BaseRepresentation
bin111111001111100…
…1110000000010000
312110220010111211021
41332133032000100
513321230104130
6550324125224
7103405443325
oct17637160020
95426114737
102122113040
11999971a33
124b2836814
1327a860cb8
14161ba4b4c
15c648437a
hex7e7ce010

2122113040 has 40 divisors (see below), whose sum is σ = 5193596160. Its totient is φ = 804168576.

The previous prime is 2122113031. The next prime is 2122113047. The reversal of 2122113040 is 403112212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2122113047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696544 + ... + 699583.

It is an arithmetic number, because the mean of its divisors is an integer number (129839904).

Almost surely, 22122113040 is an apocalyptic number.

2122113040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122113040 is an abundant number, since it is smaller than the sum of its proper divisors (3071483120).

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

2122113040 is a wasteful number, since it uses less digits than its factorization.

2122113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396159 (or 1396153 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2122113040 is about 46066.3981661254. The cubic root of 2122113040 is about 1285.0583207190.

Adding to 2122113040 its reverse (403112212), we get a palindrome (2525225252).

The spelling of 2122113040 in words is "two billion, one hundred twenty-two million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 1396127 2792254 5584508 6980635 11169016 13961270 22338032 26526413 27922540 53052826 55845080 106105652 111690160 132632065 212211304 265264130 424422608 530528260 1061056520 2122113040