Search a number
-
+
2100310641 = 3411131791013
BaseRepresentation
bin111110100110000…
…0011001001110001
312102101002211120000
41331030003021301
513300134420031
6544224540213
7103022226432
oct17514031161
95371084500
102100310641
11988630520
124a7481669
13276199380
1415cd2b489
15c45c93e6
hex7d303271

2100310641 has 80 divisors (see below), whose sum is σ = 3710266560. Its totient is φ = 1167281280.

The previous prime is 2100310631. The next prime is 2100310643. The reversal of 2100310641 is 1460130012.

It is a happy number.

2100310641 is a `hidden beast` number, since 2 + 10 + 0 + 3 + 10 + 641 = 666.

It is not a de Polignac number, because 2100310641 - 25 = 2100310609 is a prime.

It is a super-2 number, since 2×21003106412 = 8822609577395661762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100310643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2072851 + ... + 2073863.

It is an arithmetic number, because the mean of its divisors is an integer number (46378332).

Almost surely, 22100310641 is an apocalyptic number.

It is an amenable number.

2100310641 is a deficient number, since it is larger than the sum of its proper divisors (1609955919).

2100310641 is a wasteful number, since it uses less digits than its factorization.

2100310641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2100310641 is about 45829.1461954071. The cubic root of 2100310641 is about 1280.6423047937.

Adding to 2100310641 its reverse (1460130012), we get a palindrome (3560440653).

The spelling of 2100310641 in words is "two billion, one hundred million, three hundred ten thousand, six hundred forty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 179 297 351 429 537 891 1013 1053 1287 1611 1969 2327 3039 3861 4833 5907 6981 9117 11143 11583 13169 14499 17721 20943 25597 27351 33429 39507 53163 62829 76791 82053 100287 118521 144859 159489 181327 188487 230373 300861 355563 434577 543981 691119 902583 1066689 1303731 1631943 1994597 2073357 2357251 3911193 4895829 5983791 7071753 11733579 14687487 17951373 21215259 25929761 53854119 63645777 77789283 161562357 190937331 233367849 700103547 2100310641