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21203121300 = 22352412716361
BaseRepresentation
bin10011101111110011…
…011111010010010100
32000201200102011101220
4103233303133102110
5321410444340200
613423544250340
71350301362114
oct235763372224
960650364356
1021203121300
118aa0677949
124138a709b0
131ccba22a2a
141051dc9044
158416c14a0
hex4efcdf494

21203121300 has 144 divisors (see below), whose sum is σ = 63085795584. Its totient is φ = 5495040000.

The previous prime is 21203121271. The next prime is 21203121311. The reversal of 21203121300 is 312130212.

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 21203121300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3330120 + ... + 3336480.

Almost surely, 221203121300 is an apocalyptic number.

21203121300 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 21203121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31542897792).

21203121300 is an abundant number, since it is smaller than the sum of its proper divisors (41882674284).

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

21203121300 is a wasteful number, since it uses less digits than its factorization.

21203121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6690 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21203121300 its reverse (312130212), we get a palindrome (21515251512).

The spelling of 21203121300 in words is "twenty-one billion, two hundred three million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 813 820 1025 1084 1230 1355 1626 2050 2460 2710 3075 3252 4065 4100 5420 6150 6361 6775 8130 11111 12300 12722 13550 16260 19083 20325 22222 25444 27100 31805 33333 38166 40650 44444 55555 63610 66666 76332 81300 95415 111110 127220 133332 159025 166665 190830 222220 260801 277775 318050 333330 381660 477075 521602 555550 636100 666660 782403 833325 954150 1043204 1111100 1304005 1564806 1666650 1723831 1908300 2608010 3129612 3333300 3447662 3912015 5171493 5216020 6520025 6895324 7824030 8619155 10342986 13040050 15648060 17238310 19560075 20685972 25857465 26080100 34476620 39120150 43095775 51714930 70677071 78240300 86191550 103429860 129287325 141354142 172383100 212031213 258574650 282708284 353385355 424062426 517149300 706770710 848124852 1060156065 1413541420 1766926775 2120312130 3533853550 4240624260 5300780325 7067707100 10601560650 21203121300