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210022002102000 = 24353113182151547
BaseRepresentation
bin101111110000001110001110…
…110101001000111011110000
31000112121220111102200220021110
4233300032032311020323300
5210012000030014231000
62022402435323553320
762144405666524104
oct5760161665107360
91015556442626243
10210022002102000
1160a12915a19240
121b67b80768b840
139025cb382406a
1439c1194cbd904
15194324a8c8850
hexbf038ed48ef0

210022002102000 has 160 divisors (see below), whose sum is σ = 738666474534144. Its totient is φ = 50914424736000.

The previous prime is 210022002101987. The next prime is 210022002102013. The reversal of 210022002102000 is 201200220012.

It is an interprime number because it is at equal distance from previous prime (210022002101987) and next prime (210022002102013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1591009774 + ... + 1591141773.

Almost surely, 2210022002102000 is an apocalyptic number.

210022002102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210022002102000 is an abundant number, since it is smaller than the sum of its proper divisors (528644472432144).

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

210022002102000 is a wasteful number, since it uses less digits than its factorization.

210022002102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182151584 (or 3182151568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210022002102000 its reverse (201200220012), we get a palindrome (210223202322012).

The spelling of 210022002102000 in words is "two hundred ten trillion, twenty-two billion, two million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 3182151547 6364303094 9546454641 12728606188 15910757735 19092909282 25457212376 31821515470 35003667017 38185818564 47732273205 50914424752 63643030940 70007334034 76371637128 79553788675 95464546410 105011001051 127286061880 140014668068 152743274256 159107577350 175018335085 190929092820 210022002102 238661366025 254572123760 280029336136 318215154700 350036670170 381858185640 397768943375 420044004204 477322732050 525055005255 560058672272 636430309400 700073340340 763716371280 795537886750 840088008408 875091675425 954645464100 1050110010510 1193306830125 1272860618800 1400146680680 1591075773500 1680176016816 1750183350850 1909290928200 2100220021020 2386613660250 2625275026275 2800293361360 3182151547000 3500366701700 3818581856400 4200440042040 4375458377125 4773227320500 5250550052550 6364303094000 7000733403400 8400880084080 8750916754250 9546454641000 10501100105100 13126375131375 14001466806800 17501833508500 19092909282000 21002200210200 26252750262750 35003667017000 42004400420400 52505500525500 70007334034000 105011001051000 210022002102000