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22540013221041 = 342836781145007
BaseRepresentation
bin1010010000000000000010…
…11110110011010010110001
32221210210201021110022020000
411020000001132303102301
510423243421341033131
6115534423352340213
74514314353123411
oct510000136632261
987723637408200
1022540013221041
117200190934538
1226404a49a4669
13c7668b6c7114
1457cd2a180641
152914b66e0ce6
hex1480017b34b1

22540013221041 has 40 divisors (see below), whose sum is σ = 33795078413184. Its totient is φ = 14971266275040.

The previous prime is 22540013221039. The next prime is 22540013221043. The reversal of 22540013221041 is 14012231004522.

22540013221041 is a `hidden beast` number, since 2 + 2 + 5 + 400 + 1 + 3 + 2 + 210 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (22540013221039) and next prime (22540013221043).

It is not a de Polignac number, because 22540013221041 - 21 = 22540013221039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22540013220996 and 22540013221014.

It is not an unprimeable number, because it can be changed into a prime (22540013221043) 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 39 ways as a sum of consecutive naturals, for example, 155368360 + ... + 155513366.

Almost surely, 222540013221041 is an apocalyptic number.

It is an amenable number.

22540013221041 is a deficient number, since it is larger than the sum of its proper divisors (11255065192143).

22540013221041 is a wasteful number, since it uses less digits than its factorization.

22540013221041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152083 (or 152074 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 22540013221041 its reverse (14012231004522), we get a palindrome (36552244225563).

The spelling of 22540013221041 in words is "twenty-two trillion, five hundred forty billion, thirteen million, two hundred twenty-one thousand, forty-one".

Divisors: 1 3 9 27 81 283 849 2547 6781 7641 20343 22923 61029 145007 183087 435021 549261 1305063 1919023 3915189 5757069 11745567 17271207 41036981 51813621 123110943 155440863 369332829 983292467 1107998487 2949877401 3323995461 8849632203 26548896609 79646689827 278271768161 834815304483 2504445913449 7513337740347 22540013221041