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21315141521141 = 1331730977166973
BaseRepresentation
bin1001101100010110100010…
…11100000100111011110101
32210110201002212020221002012
410312023101130010323311
510243211402212134031
6113200012453054005
74326653035346636
oct466132134047365
983421085227065
1021315141521141
116878778782166
122483025927305
13bb8017347a30
1453993074988d
1526e6c8227b2b
hex1362d1704ef5

21315141521141 has 16 divisors (see below), whose sum is σ = 23028061586544. Its totient is φ = 19612696756224.

The previous prime is 21315141521081. The next prime is 21315141521207. The reversal of 21315141521141 is 14112514151312.

It can be written as a sum of positive squares in 8 ways, for example, as 775473972100 + 20539667549041 = 880610^2 + 4532071^2 .

It is a de Polignac number, because none of the positive numbers 2k-21315141521141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21315141521098 and 21315141521107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21315141521341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127572731 + ... + 127739703.

It is an arithmetic number, because the mean of its divisors is an integer number (1439253849159).

Almost surely, 221315141521141 is an apocalyptic number.

It is an amenable number.

21315141521141 is a deficient number, since it is larger than the sum of its proper divisors (1712920065403).

21315141521141 is a wasteful number, since it uses less digits than its factorization.

21315141521141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198280.

The product of its digits is 4800, while the sum is 32.

Adding to 21315141521141 its reverse (14112514151312), we get a palindrome (35427655672453).

The spelling of 21315141521141 in words is "twenty-one trillion, three hundred fifteen billion, one hundred forty-one million, five hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 13 317 4121 30977 166973 402701 2170649 9819709 52930441 127656217 688095733 5172322621 67240194073 1639626270857 21315141521141