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21342441321 = 32151211263283
BaseRepresentation
bin10011111000000110…
…111100111101101001
32001002101120100112200
4103320012330331221
5322202131110241
613445442330413
71353612520665
oct237006747551
961071510480
1021342441321
119062285063
124177659a09
132021852706
1410666d38a5
1584da414b6
hex4f81bcf69

21342441321 has 48 divisors (see below), whose sum is σ = 31408346112. Its totient is φ = 13964076000.

The previous prime is 21342441299. The next prime is 21342441331. The reversal of 21342441321 is 12314424312.

21342441321 is a `hidden beast` number, since 213 + 4 + 2 + 441 + 3 + 2 + 1 = 666.

It is not a de Polignac number, because 21342441321 - 29 = 21342440809 is a prime.

It is a super-3 number, since 3×213424413213 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21342441331) 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, 75414846 + ... + 75415128.

It is an arithmetic number, because the mean of its divisors is an integer number (654340544).

Almost surely, 221342441321 is an apocalyptic number.

It is an amenable number.

21342441321 is a deficient number, since it is larger than the sum of its proper divisors (10065904791).

21342441321 is a wasteful number, since it uses less digits than its factorization.

21342441321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 911 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 21342441321 its reverse (12314424312), we get a palindrome (33656865633).

The spelling of 21342441321 in words is "twenty-one billion, three hundred forty-two million, four hundred forty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 151 211 263 283 453 633 789 849 1359 1899 2367 2547 31861 39713 42733 55493 59713 74429 95583 119139 128199 166479 179139 223287 286749 357417 384597 499437 537417 669861 8379443 9016663 11238779 15704519 25138329 27049989 33716337 47113557 75414987 81149967 101149011 141340671 2371382369 7114147107 21342441321