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21002104320 = 293522312263
BaseRepresentation
bin10011100011110100…
…101010111000000000
32000012200011102221120
4103203310222320000
5321003014314240
613352003552240
71342310640561
oct234364527000
960180142846
1021002104320
1189a815a90a
1240a168b680
131c991a0882
141033420168
1582dc15ad0
hex4e3d2ae00

21002104320 has 160 divisors (see below), whose sum is σ = 67447683072. Its totient is φ = 5574991872.

The previous prime is 21002104313. The next prime is 21002104337. The reversal of 21002104320 is 2340120012.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a self number, because there is not a number n which added to its sum of digits gives 21002104320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1706509 + ... + 1718771.

Almost surely, 221002104320 is an apocalyptic number.

21002104320 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 21002104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33723841536).

21002104320 is an abundant number, since it is smaller than the sum of its proper divisors (46445578752).

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

21002104320 is a wasteful number, since it uses less digits than its factorization.

21002104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12512 (or 12496 counting only the distinct ones).

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

Adding to 21002104320 its reverse (2340120012), we get a palindrome (23342224332).

The spelling of 21002104320 in words is "twenty-one billion, two million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 223 240 256 320 384 446 480 512 640 669 768 892 960 1115 1280 1338 1536 1784 1920 2230 2560 2676 3345 3568 3840 4460 5352 6690 7136 7680 8920 10704 12263 13380 14272 17840 21408 24526 26760 28544 35680 36789 42816 49052 53520 57088 61315 71360 73578 85632 98104 107040 114176 122630 142720 147156 171264 183945 196208 214080 245260 285440 294312 342528 367890 392416 428160 490520 570880 588624 735780 784832 856320 981040 1177248 1471560 1569664 1712640 1962080 2354496 2734649 2943120 3139328 3924160 4708992 5469298 5886240 6278656 7848320 8203947 9417984 10938596 11772480 13673245 15696640 16407894 18835968 21877192 23544960 27346490 31393280 32815788 41019735 43754384 47089920 54692980 65631576 82039470 87508768 94179840 109385960 131263152 164078940 175017536 218771920 262526304 328157880 350035072 437543840 525052608 656315760 700070144 875087680 1050105216 1312631520 1400140288 1750175360 2100210432 2625263040 3500350720 4200420864 5250526080 7000701440 10501052160 21002104320