Search a number
-
+
2100302120 = 235771105649
BaseRepresentation
bin111110100110000…
…0001000100101000
312102101002101212102
41331030001010220
513300134131440
6544224432532
7103022162540
oct17514010450
95371071772
102100302120
11988625084
124a7478748
13276195527
1415cd28320
15c45c6b15
hex7d301128

2100302120 has 64 divisors (see below), whose sum is σ = 5476896000. Its totient is φ = 709954560.

The previous prime is 2100302081. The next prime is 2100302129. The reversal of 2100302120 is 212030012.

It is a happy number.

It is a super-2 number, since 2×21003021202 = 8822537990552988800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100302129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32945 + ... + 72704.

It is an arithmetic number, because the mean of its divisors is an integer number (85576500).

Almost surely, 22100302120 is an apocalyptic number.

2100302120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100302120 is an abundant number, since it is smaller than the sum of its proper divisors (3376593880).

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

2100302120 is a wasteful number, since it uses less digits than its factorization.

2100302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105738 (or 105734 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2100302120 is about 45829.0532304563. The cubic root of 2100302120 is about 1280.6405729280.

Adding to 2100302120 its reverse (212030012), we get a palindrome (2312332132).

The spelling of 2100302120 in words is "two billion, one hundred million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 568 710 994 1420 1988 2485 2840 3976 4970 9940 19880 105649 211298 422596 528245 739543 845192 1056490 1479086 2112980 2958172 3697715 4225960 5916344 7395430 7501079 14790860 15002158 29581720 30004316 37505395 52507553 60008632 75010790 105015106 150021580 210030212 262537765 300043160 420060424 525075530 1050151060 2100302120