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21441122112123 = 3271513904157731
BaseRepresentation
bin1001110000000001001100…
…11101111001001001111011
32210220202021122222001002100
410320000212131321021323
510302242404230041443
6113333525430234443
74342032664612440
oct470004635711173
983822248861070
1021441122112123
11691714651085a
1224a35244b5a23
13bc6b7359371c
14541a8208b9c7
15272aed2803d3
hex13802677927b

21441122112123 has 48 divisors (see below), whose sum is σ = 35630801137152. Its totient is φ = 12170407680000.

The previous prime is 21441122112073. The next prime is 21441122112127. The reversal of 21441122112123 is 32121122114412.

21441122112123 is a `hidden beast` number, since 2 + 1 + 4 + 411 + 22 + 11 + 212 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-21441122112123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21441122112127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371368168 + ... + 371425898.

It is an arithmetic number, because the mean of its divisors is an integer number (742308357024).

Almost surely, 221441122112123 is an apocalyptic number.

21441122112123 is a deficient number, since it is larger than the sum of its proper divisors (14189679025029).

21441122112123 is a wasteful number, since it uses less digits than its factorization.

21441122112123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96936 (or 96933 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 21441122112123 its reverse (32121122114412), we get a palindrome (53562244226535).

The spelling of 21441122112123 in words is "twenty-one trillion, four hundred forty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 63 151 453 1057 1359 3171 9513 39041 57731 117123 173193 273287 351369 404117 519579 819861 1212351 2459583 3637053 5895191 8717381 17685573 26152143 41266337 53056719 61021667 78456429 123799011 183065001 371397033 549195003 2253875971 6761627913 15777131797 20284883739 47331395391 141994186173 340335271621 1021005814863 2382346901347 3063017444589 7147040704041 21441122112123