Search a number
-
+
2101104040 = 235741183023
BaseRepresentation
bin111110100111100…
…0100110110101000
312102102121010220011
41331033010312220
513300340312130
6544253541304
7103032042520
oct17517046650
95372533804
102101104040
11989022622
124a77a4834
132763b6539
1415d096680
15c46d452a
hex7d3c4da8

2101104040 has 64 divisors (see below), whose sum is σ = 5534645760. Its totient is φ = 702804480.

The previous prime is 2101104017. The next prime is 2101104041. The reversal of 2101104040 is 404011012.

It is a self number, because there is not a number n which added to its sum of digits gives 2101104040.

It is not an unprimeable number, because it can be changed into a prime (2101104041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80032 + ... + 102991.

It is an arithmetic number, because the mean of its divisors is an integer number (86478840).

Almost surely, 22101104040 is an apocalyptic number.

2101104040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101104040 is an abundant number, since it is smaller than the sum of its proper divisors (3433541720).

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

2101104040 is a wasteful number, since it uses less digits than its factorization.

2101104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183082 (or 183078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2101104040 is about 45837.8014306969. The cubic root of 2101104040 is about 1280.8035400559.

Adding to 2101104040 its reverse (404011012), we get a palindrome (2505115052).

The spelling of 2101104040 in words is "two billion, one hundred one million, one hundred four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 11480 183023 366046 732092 915115 1281161 1464184 1830230 2562322 3660460 5124644 6405805 7320920 7503943 10249288 12811610 15007886 25623220 30015772 37519715 51246440 52527601 60031544 75039430 105055202 150078860 210110404 262638005 300157720 420220808 525276010 1050552020 2101104040