Search a number
-
+
10201202222220 = 22325596037159113
BaseRepresentation
bin1001010001110010011100…
…0010001110010010001100
31100010020002022201011011200
42110130213002032102030
52314114030232102340
633410211222545500
72102004205123332
oct224344702162214
940106068634150
1010201202222220
11328333a7895a9
121189089b98290
1358cc7a569499
14273a52b5bb52
1512a553be1330
hex9472708e48c

10201202222220 has 144 divisors (see below), whose sum is σ = 31473525676320. Its totient is φ = 2673753689088.

The previous prime is 10201202222203. The next prime is 10201202222257. The reversal of 10201202222220 is 2222220210201.

10201202222220 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 202 + 222 + 220 = 666.

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 = 10201202222193 and 10201202222202.

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, 64033384 + ... + 64192496.

It is an arithmetic number, because the mean of its divisors is an integer number (218566150530).

Almost surely, 210201202222220 is an apocalyptic number.

10201202222220 is a gapful number since it is divisible by the number (10) 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 10201202222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15736762838160).

10201202222220 is an abundant number, since it is smaller than the sum of its proper divisors (21272323454100).

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

10201202222220 is a wasteful number, since it uses less digits than its factorization.

10201202222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165224 (or 165219 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10201202222220 its reverse (2222220210201), we get a palindrome (12423422432421).

The spelling of 10201202222220 in words is "ten trillion, two hundred one billion, two hundred two million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 6037 10620 12074 18111 24148 30185 36222 54333 60370 72444 90555 108666 120740 159113 181110 217332 271665 318226 356183 362220 477339 543330 636452 712366 795565 954678 1068549 1086660 1424732 1432017 1591130 1780915 1909356 2137098 2386695 2864034 3182260 3205647 3561830 4274196 4773390 5342745 5728068 6411294 7123660 7160085 9387667 9546780 10685490 12822588 14320170 16028235 18775334 21370980 28163001 28640340 32056470 37550668 46938335 56326002 64112940 84489003 93876670 112652004 140815005 168978006 187753340 281630010 337956012 422445015 563260020 844890030 960565181 1689780060 1921130362 2881695543 3842260724 4802825905 5763391086 8645086629 9605651810 11526782172 14408477715 17290173258 19211303620 28816955430 34580346516 43225433145 56673345679 57633910860 86450866290 113346691358 170020037037 172901732580 226693382716 283366728395 340040074074 510060111111 566733456790 680080148148 850100185185 1020120222222 1133466913580 1700200370370 2040240444444 2550300555555 3400400740740 5100601111110 10201202222220