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21021023040 = 263586325373
BaseRepresentation
bin10011100100111100…
…110101101101000000
32000020222202121112220
4103210330311231000
5321022340214130
613353521251040
71342630514313
oct234474655500
960228677486
1021021023040
118a07901816
1240a7a93a80
131ca0095a94
141035b4697a
15830701410
hex4e4f35b40

21021023040 has 112 divisors (see below), whose sum is σ = 66821718528. Its totient is φ = 5598889984.

The previous prime is 21021023003. The next prime is 21021023047. The reversal of 21021023040 is 4032012012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021023047) 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, 815794 + ... + 841166.

Almost surely, 221021023040 is an apocalyptic number.

21021023040 is a gapful number since it is divisible by the number (20) 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 21021023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33410859264).

21021023040 is an abundant number, since it is smaller than the sum of its proper divisors (45800695488).

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

21021023040 is a wasteful number, since it uses less digits than its factorization.

21021023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26256 (or 26246 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21021023040 its reverse (4032012012), we get a palindrome (25053035052).

The spelling of 21021023040 in words is "twenty-one billion, twenty-one million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 863 960 1726 2589 3452 4315 5178 6904 8630 10356 12945 13808 17260 20712 25373 25890 27616 34520 41424 50746 51780 55232 69040 76119 82848 101492 103560 126865 138080 152238 165696 202984 207120 253730 276160 304476 380595 405968 414240 507460 608952 761190 811936 828480 1014920 1217904 1522380 1623872 2029840 2435808 3044760 4059680 4871616 6089520 8119360 12179040 21896899 24358080 43793798 65690697 87587596 109484495 131381394 175175192 218968990 262762788 328453485 350350384 437937980 525525576 656906970 700700768 875875960 1051051152 1313813940 1401401536 1751751920 2102102304 2627627880 3503503840 4204204608 5255255760 7007007680 10510511520 21021023040