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21120020322000 = 2435316447214021
BaseRepresentation
bin1001100110101011000110…
…10011110001011011010000
32202210001110112022000011220
410303111203103301123100
510232012300200301000
6112530223044405040
74306604535463065
oct463254323613320
982701415260156
1021120020322000
116802a4a968296
1224512500a6780
13ba27bca30792
145303005bac6c
152695a82691a0
hex1335634f16d0

21120020322000 has 160 divisors (see below), whose sum is σ = 68095403710464. Its totient is φ = 5631636672000.

The previous prime is 21120020321987. The next prime is 21120020322007. The reversal of 21120020322000 is 22302002112.

It is a happy number.

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 (21120020322007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98574990 + ... + 98789010.

Almost surely, 221120020322000 is an apocalyptic number.

21120020322000 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 21120020322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34047701855232).

21120020322000 is an abundant number, since it is smaller than the sum of its proper divisors (46975383388464).

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

21120020322000 is a wasteful number, since it uses less digits than its factorization.

21120020322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230494 (or 230478 counting only the distinct ones).

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

Adding to 21120020322000 its reverse (22302002112), we get a palindrome (21142322324112).

The spelling of 21120020322000 in words is "twenty-one trillion, one hundred twenty billion, twenty million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 16447 32894 49341 65788 82235 98682 131576 164470 197364 214021 246705 263152 328940 394728 411175 428042 493410 642063 657880 789456 822350 856084 986820 1070105 1233525 1284126 1315760 1644700 1712168 1973640 2055875 2140210 2467050 2568252 3210315 3289400 3424336 3947280 4111750 4280420 4934100 5136504 5350525 6167625 6420630 6578800 8223500 8560840 9868200 10273008 10701050 12335250 12841260 16051575 16447000 17121680 19736400 21402100 24670500 25682520 26752625 32103150 32894000 42804200 49341000 51365040 53505250 64206300 80257875 85608400 98682000 107010500 128412600 160515750 214021000 256825200 321031500 428042000 642063000 1284126000 3520003387 7040006774 10560010161 14080013548 17600016935 21120020322 28160027096 35200033870 42240040644 52800050805 56320054192 70400067740 84480081288 88000084675 105600101610 140800135480 168960162576 176000169350 211200203220 264000254025 281600270960 352000338700 422400406440 440000423375 528000508050 704000677400 844800812880 880000846750 1056001016100 1320001270125 1408001354800 1760001693500 2112002032200 2640002540250 3520003387000 4224004064400 5280005080500 7040006774000 10560010161000 21120020322000