Search a number
-
+
210012122022000 = 2435349517069687
BaseRepresentation
bin101111110000000101000001…
…111011101000000001110000
31000112120221222212120211110120
4233300011001323220001300
5210011314311214201000
62022354123103330240
762143606106321124
oct5760050173500160
91015527885524416
10210012122022000
1160a09705970971
121b67990a8b0980
13902509a93328c
1439c08d8a55584
151942d6d3076a0
hexbf0141ee8070

210012122022000 has 160 divisors (see below), whose sum is σ = 677215933215744. Its totient is φ = 55991913120000.

The previous prime is 210012122021927. The next prime is 210012122022011. The reversal of 210012122022000 is 220221210012.

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

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, 26171157 + ... + 33240843.

Almost surely, 2210012122022000 is an apocalyptic number.

210012122022000 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 210012122022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338607966607872).

210012122022000 is an abundant number, since it is smaller than the sum of its proper divisors (467203811193744).

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

210012122022000 is a wasteful number, since it uses less digits than its factorization.

210012122022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074664 (or 7074648 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 210012122022000 its reverse (220221210012), we get a palindrome (210232343232012).

The spelling of 210012122022000 in words is "two hundred ten trillion, twelve billion, one hundred twenty-two million, 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 4951 6000 9902 14853 19804 24755 29706 39608 49510 59412 74265 79216 99020 118824 123775 148530 198040 237648 247550 297060 371325 396080 495100 594120 618875 742650 990200 1188240 1237750 1485300 1856625 1980400 2475500 2970600 3713250 4951000 5941200 7069687 7426500 9902000 14139374 14853000 21209061 28278748 29706000 35348435 42418122 56557496 70696870 84836244 106045305 113114992 141393740 169672488 176742175 212090610 282787480 339344976 353484350 424181220 530226525 565574960 706968700 848362440 883710875 1060453050 1413937400 1696724880 1767421750 2120906100 2651132625 2827874800 3534843500 4241812200 5302265250 7069687000 8483624400 10604530500 14139374000 21209061000 35002020337 42418122000 70004040674 105006061011 140008081348 175010101685 210012122022 280016162696 350020203370 420024244044 525030305055 560032325392 700040406740 840048488088 875050508425 1050060610110 1400080813480 1680096976176 1750101016850 2100121220220 2625151525275 2800161626960 3500202033700 4200242440440 4375252542125 5250303050550 7000404067400 8400484880880 8750505084250 10500606101100 13125757626375 14000808134800 17501010168500 21001212202200 26251515252750 35002020337000 42002424404400 52503030505500 70004040674000 105006061011000 210012122022000