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21341133342 = 235103342509
BaseRepresentation
bin10011111000000001…
…111101101000011110
32001002022002220100000
4103320001331220132
5322201312231332
613445354315130
71353565432434
oct237001755036
961068086300
1021341133342
119061571391
124177128aa6
1320214b5269
141066472d54
1584d883b7c
hex4f807da1e

21341133342 has 48 divisors (see below), whose sum is σ = 47999231280. Its totient is φ = 7106657472.

The previous prime is 21341133299. The next prime is 21341133347. The reversal of 21341133342 is 24333114312.

It is a happy number.

21341133342 is a `hidden beast` number, since 213 + 4 + 113 + 334 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21341133347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480784 + ... + 523292.

It is an arithmetic number, because the mean of its divisors is an integer number (999983985).

Almost surely, 221341133342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21341133342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23999615640).

21341133342 is an abundant number, since it is smaller than the sum of its proper divisors (26658097938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21341133342 is a wasteful number, since it uses less digits than its factorization.

21341133342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43559 (or 43547 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 21341133342 its reverse (24333114312), we get a palindrome (45674247654).

It can be divided in two parts, 213411 and 33342, that added together give a triangular number (246753 = T702).

The spelling of 21341133342 in words is "twenty-one billion, three hundred forty-one million, one hundred thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1033 2066 3099 6198 9297 18594 27891 42509 55782 83673 85018 127527 167346 251019 255054 382581 502038 765162 1147743 2295486 3443229 6886458 10329687 20659374 43911797 87823594 131735391 263470782 395206173 790412346 1185618519 2371237038 3556855557 7113711114 10670566671 21341133342