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21213320440 = 23513231773689
BaseRepresentation
bin10011110000011010…
…011001010011111000
32000202101121022222211
4103300122121103320
5321421102223230
613424551024504
71350454151164
oct236032312370
960671538884
1021213320440
118aa6403694
12414036b134
132000b84120
1410534c1ca4
1584253842a
hex4f06994f8

21213320440 has 64 divisors (see below), whose sum is σ = 53636385600. Its totient is φ = 7492058112.

The previous prime is 21213320399. The next prime is 21213320449. The reversal of 21213320440 is 4402331212.

It is a super-3 number, since 3×212133204403 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21213320449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874885 + ... + 898804.

It is an arithmetic number, because the mean of its divisors is an integer number (838068525).

Almost surely, 221213320440 is an apocalyptic number.

21213320440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21213320440 is an abundant number, since it is smaller than the sum of its proper divisors (32423065160).

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

21213320440 is a wasteful number, since it uses less digits than its factorization.

21213320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773736 (or 1773732 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21213320440 its reverse (4402331212), we get a palindrome (25615651652).

The spelling of 21213320440 in words is "twenty-one billion, two hundred thirteen million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 11960 1773689 3547378 7094756 8868445 14189512 17736890 23057957 35473780 40794847 46115914 70947560 81589694 92231828 115289785 163179388 184463656 203974235 230579570 326358776 407948470 461159140 530333011 815896940 922318280 1060666022 1631793880 2121332044 2651665055 4242664088 5303330110 10606660220 21213320440