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21342000141 = 32711171811561
BaseRepresentation
bin10011111000000101…
…010001010000001101
32001002100201221100200
4103320011101100031
5322202023001031
613445425044113
71353606002520
oct237005212015
961070657320
1021342000141
119062003650
124177486639
132021729967
14106661abb7
1584d9a58e6
hex4f815140d

21342000141 has 48 divisors (see below), whose sum is σ = 40694928768. Its totient is φ = 10434585600.

The previous prime is 21342000133. The next prime is 21342000161. The reversal of 21342000141 is 14100024312.

It is not a de Polignac number, because 21342000141 - 23 = 21342000133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342000161) 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, 894000 + ... + 917561.

It is an arithmetic number, because the mean of its divisors is an integer number (847811016).

Almost surely, 221342000141 is an apocalyptic number.

21342000141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21342000141 is a deficient number, since it is larger than the sum of its proper divisors (19352928627).

21342000141 is a wasteful number, since it uses less digits than its factorization.

21342000141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811602 (or 1811599 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21342000141 its reverse (14100024312), we get a palindrome (35442024453).

The spelling of 21342000141 in words is "twenty-one billion, three hundred forty-two million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 561 693 1071 1309 1683 3927 11781 1811561 5434683 12680927 16304049 19927171 30796537 38042781 59781513 92389611 114128343 139490197 179344539 215575759 277168833 338761907 418470591 646727277 1016285721 1255411773 1940181831 2371333349 3048857163 7114000047 21342000141