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21242414121341 = 723547647372809
BaseRepresentation
bin1001101010001111000101…
…00011000100000101111101
32210012202101100211020001012
410311013202203010011331
510241013431003340331
6113102344052325005
74321466552555240
oct465074243040575
983182340736035
1021242414121341
11684a947a8a276
122470b09613765
13bb11c6b4235a
145361d180b257
1526c86d46d82b
hex1351e28c417d

21242414121341 has 32 divisors (see below), whose sum is σ = 25418173870080. Its totient is φ = 17357385741696.

The previous prime is 21242414121337. The next prime is 21242414121389. The reversal of 21242414121341 is 14312141424212.

It is a happy number.

It is not a de Polignac number, because 21242414121341 - 22 = 21242414121337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21242414121298 and 21242414121307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21242414121241) 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, 56792945 + ... + 57165753.

It is an arithmetic number, because the mean of its divisors is an integer number (794317933440).

Almost surely, 221242414121341 is an apocalyptic number.

It is an amenable number.

21242414121341 is a deficient number, since it is larger than the sum of its proper divisors (4175759748739).

21242414121341 is a wasteful number, since it uses less digits than its factorization.

21242414121341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374033.

The product of its digits is 12288, while the sum is 32.

Adding to 21242414121341 its reverse (14312141424212), we get a palindrome (35554555545553).

The spelling of 21242414121341 in words is "twenty-one trillion, two hundred forty-two billion, four hundred fourteen million, one hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 7 23 161 547 647 3829 4529 12581 14881 88067 104167 353909 372809 2477363 2609663 8139907 8574607 56979349 60022249 203926523 241207423 1427485661 1688451961 4690310029 5547770729 32832170203 38834395103 131940460381 923583222667 3034630588763 21242414121341