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21343445442 = 232111013373167
BaseRepresentation
bin10011111000001010…
…110010000111000010
32001002110110100221100
4103320022302013002
5322202410223232
613445520035230
71353624202314
oct237012620702
961073410840
1021343445442
119062900510
124177a62b16
132021b14777
1410668b57b4
1584db8dc7c
hex4f82b21c2

21343445442 has 96 divisors (see below), whose sum is σ = 51114945024. Its totient is φ = 6382656000.

The previous prime is 21343445437. The next prime is 21343445443. The reversal of 21343445442 is 24454434312.

21343445442 is a `hidden beast` number, since 2 + 134 + 34 + 454 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21343445397 and 21343445406.

It is not an unprimeable number, because it can be changed into a prime (21343445443) 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, 6737743 + ... + 6740909.

It is an arithmetic number, because the mean of its divisors is an integer number (532447344).

Almost surely, 221343445442 is an apocalyptic number.

21343445442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21343445442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25557472512).

21343445442 is an abundant number, since it is smaller than the sum of its proper divisors (29771499582).

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

21343445442 is a wasteful number, since it uses less digits than its factorization.

21343445442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3621 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

Adding to 21343445442 its reverse (24454434312), we get a palindrome (45797879754).

The spelling of 21343445442 in words is "twenty-one billion, three hundred forty-three million, four hundred forty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 337 606 674 909 1011 1111 1818 2022 2222 3033 3167 3333 3707 6066 6334 6666 7414 9501 9999 11121 19002 19998 22242 28503 33363 34037 34837 57006 66726 68074 69674 102111 104511 204222 209022 306333 313533 319867 374407 612666 627066 639734 748814 959601 1067279 1123221 1919202 2134558 2246442 2878803 3201837 3369663 3518537 5757606 6403674 6739326 7037074 9605511 10555611 11740069 19211022 21111222 23480138 31666833 35220207 63333666 70440414 105660621 107795179 211321242 215590358 323385537 646771074 970156611 1185746969 1940313222 2371493938 3557240907 7114481814 10671722721 21343445442