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21312332300 = 225271910691499
BaseRepresentation
bin10011110110010100…
…000110001000001100
32001000021220122201202
4103312110012020030
5322121424113200
613442445125032
71353065556410
oct236624061014
961007818652
1021312332300
11904728a776
124169559778
13201853cc1c
1410626d6d40
1584b0951d5
hex4f650620c

21312332300 has 144 divisors (see below), whose sum is σ = 55725600000. Its totient is φ = 6911412480.

The previous prime is 21312332233. The next prime is 21312332309. The reversal of 21312332300 is 323321312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21312332309) 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, 14216951 + ... + 14218449.

Almost surely, 221312332300 is an apocalyptic number.

21312332300 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 21312332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27862800000).

21312332300 is an abundant number, since it is smaller than the sum of its proper divisors (34413267700).

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

21312332300 is a wasteful number, since it uses less digits than its factorization.

21312332300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 21312332300 its reverse (323321312), we get a palindrome (21635653612).

The spelling of 21312332300 in words is "twenty-one billion, three hundred twelve million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1069 1330 1499 1900 2138 2660 2998 3325 4276 5345 5996 6650 7483 7495 10493 10690 13300 14966 14990 20311 20986 21380 26725 28481 29932 29980 37415 37475 40622 41972 52465 53450 56962 74830 74950 81244 101555 104930 106900 113924 142177 142405 149660 149900 187075 199367 203110 209860 262325 284354 284810 374150 398734 406220 507775 524650 568708 569620 710885 712025 748300 797468 996835 1015550 1049300 1421770 1424050 1602431 1993670 2031100 2843540 2848100 3204862 3554425 3987340 4984175 6409724 7108850 8012155 9968350 11217017 14217700 16024310 19936700 22434034 30446189 32048620 40060775 44868068 56085085 60892378 80121550 112170170 121784756 152230945 160243100 213123323 224340340 280425425 304461890 426246646 560850850 608923780 761154725 852493292 1065616615 1121701700 1522309450 2131233230 3044618900 4262466460 5328083075 10656166150 21312332300