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2241010023131 = 1123376715123663
BaseRepresentation
bin100000100111000110100…
…110110011101011011011
321221020102211201120020002
4200213012212303223123
5243204042031220011
64433301130123215
7320623213620515
oct40470646635333
97836384646202
102241010023131
1179445280a390
123023a588050b
13133431c72209
147a673338bb5
153d461949c3b
hex209c69b3adb

2241010023131 has 64 divisors (see below), whose sum is σ = 2676805042176. Its totient is φ = 1855290096000.

The previous prime is 2241010023089. The next prime is 2241010023139. The reversal of 2241010023131 is 1313200101422.

It is not a de Polignac number, because 2241010023131 - 218 = 2241009760987 is a prime.

It is a super-2 number, since 2×22410100231312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2241010023139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94693406 + ... + 94717068.

It is an arithmetic number, because the mean of its divisors is an integer number (41825078784).

Almost surely, 22241010023131 is an apocalyptic number.

2241010023131 is a deficient number, since it is larger than the sum of its proper divisors (435795019045).

2241010023131 is a wasteful number, since it uses less digits than its factorization.

2241010023131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23952.

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

Adding to 2241010023131 its reverse (1313200101422), we get a palindrome (3554210124553).

The spelling of 2241010023131 in words is "two trillion, two hundred forty-one billion, ten million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 11 23 37 67 151 253 407 737 851 1541 1661 2479 3473 5587 9361 10117 16951 23663 27269 38203 57017 61457 111287 128501 232691 260293 374329 544249 627187 875531 1413511 1585421 2559601 3573113 4117619 5986739 8609567 9630841 17439631 20137213 36464683 39304243 58660577 82181599 94705237 132205181 221509343 239398571 401111513 645266347 903997589 1349193271 1454256991 2633384281 3040719163 5506167133 8857747127 14841125981 33447910793 60567838463 97435218397 203728183921 2241010023131