Search a number
-
+
3341141100020 = 2251922747980863
BaseRepresentation
bin110000100111101011100…
…001110100010111110100
3102211102001212102201122102
4300213223201310113310
5414220124110200040
611034522105121232
7463250406522443
oct60475341642764
912742055381572
103341141100020
111078a74058389
1245b651489218
131b30b6c52179
14b79d7da2d5a
155bd9db8d515
hex309eb8745f4

3341141100020 has 96 divisors (see below), whose sum is σ = 7433795174400. Its totient is φ = 1257891859584.

The previous prime is 3341141099993. The next prime is 3341141100023. The reversal of 3341141100020 is 200011411433.

It is a super-2 number, since 2×33411411000202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3341141099965 and 3341141100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3341141100023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41278109 + ... + 41358971.

It is an arithmetic number, because the mean of its divisors is an integer number (77435366400).

Almost surely, 23341141100020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3341141100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716897587200).

3341141100020 is an abundant number, since it is smaller than the sum of its proper divisors (4092654074380).

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

3341141100020 is a wasteful number, since it uses less digits than its factorization.

3341141100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81597 (or 81595 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3341141100020 its reverse (200011411433), we get a palindrome (3541152511453).

The spelling of 3341141100020 in words is "three trillion, three hundred forty-one billion, one hundred forty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 227 380 454 479 908 958 1135 1916 2270 2395 4313 4540 4790 8626 9101 9580 17252 18202 21565 36404 43130 45505 80863 86260 91010 108733 161726 182020 217466 323452 404315 434932 543665 808630 1087330 1536397 1617260 2065927 2174660 3072794 4131854 6145588 7681985 8263708 10329635 15363970 18355901 20659270 30727940 36711802 38733377 41318540 73423604 77466754 91779505 154933508 183559010 193666885 348762119 367118020 387333770 697524238 735934163 774667540 1395048476 1471868326 1743810595 2943736652 3487621190 3679670815 6975242380 7359341630 8792476579 14718683260 17584953158 35169906316 43962382895 87924765790 167057055001 175849531580 334114110002 668228220004 835285275005 1670570550010 3341141100020