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210202102121220 = 2232511591799367421
BaseRepresentation
bin101111110010110101111101…
…101000001100001100000100
31000120021010100220122211002200
4233302311331220030030010
5210022422401120334340
62023021302420234500
762163413021446326
oct5762657550141404
91016233326584080
10210202102121220
1160a82235765330
121b6aa6aa83ba30
139039c860b7a81
1439c9b9c0b3616
151947c8bc8c330
hexbf2d7da0c304

210202102121220 has 144 divisors (see below), whose sum is σ = 707367320936640. Its totient is φ = 50094388972800.

The previous prime is 210202102121201. The next prime is 210202102121227. The reversal of 210202102121220 is 22121201202012.

It is a happy number.

210202102121220 is a `hidden beast` number, since 2 + 1 + 0 + 20 + 210 + 212 + 1 + 220 = 666.

210202102121220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210202102121193 and 210202102121202.

It is not an unprimeable number, because it can be changed into a prime (210202102121227) 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, 899566891 + ... + 899800530.

It is an arithmetic number, because the mean of its divisors is an integer number (4912273062060).

Almost surely, 2210202102121220 is an apocalyptic number.

210202102121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210202102121220 is an abundant number, since it is smaller than the sum of its proper divisors (497165218815420).

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

210202102121220 is a wasteful number, since it uses less digits than its factorization.

210202102121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799367506 (or 1799367501 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210202102121220 its reverse (22121201202012), we get a palindrome (232323303323232).

The spelling of 210202102121220 in words is "two hundred ten trillion, two hundred two billion, one hundred two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 59 60 66 90 99 110 118 132 165 177 180 198 220 236 295 330 354 396 495 531 590 649 660 708 885 990 1062 1180 1298 1770 1947 1980 2124 2596 2655 3245 3540 3894 5310 5841 6490 7788 9735 10620 11682 12980 19470 23364 29205 38940 58410 116820 1799367421 3598734842 5398102263 7197469684 8996837105 10796204526 16194306789 17993674210 19793041631 21592409052 26990511315 32388613578 35987348420 39586083262 53981022630 59379124893 64777227156 79172166524 80971533945 98965208155 106162677839 107962045260 118758249786 161943067890 178137374679 197930416310 212325355678 237516499572 296895624465 318488033517 323886135780 356274749358 395860832620 424650711356 530813389195 593791248930 636976067034 712549498716 890686873395 955464100551 1061626778390 1167789456229 1187582497860 1273952134068 1592440167585 1781373746790 1910928201102 2123253556780 2335578912458 3184880335170 3503368368687 3562747493580 3821856402204 4671157824916 4777320502755 5838947281145 6369760670340 7006736737374 9554641005510 10510105106061 11677894562290 14013473474748 17516841843435 19109282011020 21020210212122 23355789124580 35033683686870 42040420424244 52550525530305 70067367373740 105101051060610 210202102121220