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21442303212 = 22311594196571
BaseRepresentation
bin10011111110000011…
…111001010011101100
32001100100110212022020
4103332003321103230
5322403212200322
613503410550140
71356234366351
oct237603712354
961310425266
1021442303212
119103691850
1241a4b98350
1320394483a5
141075a8a628
158576ba05c
hex4fe0f94ec

21442303212 has 96 divisors (see below), whose sum is σ = 55646438400. Its totient is φ = 6371323200.

The previous prime is 21442303189. The next prime is 21442303217. The reversal of 21442303212 is 21230324412.

Adding to 21442303212 its reverse (21230324412), we get a palindrome (42672627624).

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21442303217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3259887 + ... + 3266457.

It is an arithmetic number, because the mean of its divisors is an integer number (579650400).

Almost surely, 221442303212 is an apocalyptic number.

21442303212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21442303212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27823219200).

21442303212 is an abundant number, since it is smaller than the sum of its proper divisors (34204135188).

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

21442303212 is a wasteful number, since it uses less digits than its factorization.

21442303212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7067 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 21442303212 in words is "twenty-one billion, four hundred forty-two million, three hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 419 649 708 838 1257 1298 1676 1947 2514 2596 3894 4609 5028 6571 7788 9218 13142 13827 18436 19713 24721 26284 27654 39426 49442 55308 72281 74163 78852 98884 144562 148326 216843 271931 289124 296652 387689 433686 543862 775378 815793 867372 1087724 1163067 1550756 1631586 2326134 2753249 3263172 4264579 4652268 5506498 8259747 8529158 11012996 12793737 16519494 17058316 25587474 30285739 33038988 51174948 60571478 90857217 121142956 162441691 181714434 324883382 363428868 487325073 649766764 974650146 1786858601 1949300292 3573717202 5360575803 7147434404 10721151606 21442303212