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2111223442041 = 3272347238313009
BaseRepresentation
bin11110101110001110101…
…110010010101001111001
321110211102210101010022100
4132232032232102221321
5234042241200121131
64253514353214013
7305350041106650
oct36561656225171
97424383333270
102111223442041
1174440165901a
122a1204561309
1312411a37277c
1474280346197
1539db76e17e6
hex1eb8eb92a79

2111223442041 has 96 divisors (see below), whose sum is σ = 3715945758720. Its totient is φ = 1128847560192.

The previous prime is 2111223442039. The next prime is 2111223442061. The reversal of 2111223442041 is 1402443221112.

2111223442041 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 2 + 234 + 420 + 4 + 1 = 666.

It is not a de Polignac number, because 2111223442041 - 21 = 2111223442039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2111223441996 and 2111223442014.

It is not an unprimeable number, because it can be changed into a prime (2111223442001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162282945 + ... + 162295953.

It is an arithmetic number, because the mean of its divisors is an integer number (38707768320).

Almost surely, 22111223442041 is an apocalyptic number.

2111223442041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2111223442041 is a deficient number, since it is larger than the sum of its proper divisors (1604722316679).

2111223442041 is a wasteful number, since it uses less digits than its factorization.

2111223442041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15475 (or 15472 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2111223442041 its reverse (1402443221112), we get a palindrome (3513666663153).

The spelling of 2111223442041 in words is "two trillion, one hundred eleven billion, two hundred twenty-three million, four hundred forty-two thousand, forty-one".

Divisors: 1 3 7 9 21 23 47 63 69 141 161 207 329 423 483 987 1081 1449 2383 2961 3243 7149 7567 9729 13009 16681 21447 22701 39027 50043 54809 68103 91063 112001 117081 150129 164427 273189 299207 336003 383663 493281 611423 784007 819567 897621 1008009 1150989 1834269 2094449 2352021 2576023 2692863 3452967 4279961 5502807 6283347 7056063 7728069 12839883 14062729 18032161 18850041 23184207 31000447 38519649 42188187 54096483 93001341 98439103 126564561 162289449 217003129 279004023 295317309 651009387 713010281 885951927 1457021009 1953028161 2139030843 4371063027 4991071967 6417092529 10199147063 13113189081 14973215901 30597441189 33511483207 44919647703 91792323567 100534449621 234580382449 301603348863 703741147347 2111223442041