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220202101211120 = 24572279720083663
BaseRepresentation
bin110010000100010111001100…
…000001010111111111110000
31001212200010010001011211111122
4302010113030001113333300
5212330242400402223440
62100155240534001412
764245035226313400
oct6204271401277760
91055603101154448
10220202101211120
11641882065275a6
12208447861a6268
1395b3c79cb4c72
143c53ba5046800
151a6ce66aa07b5
hexc845cc057ff0

220202101211120 has 120 divisors (see below), whose sum is σ = 595769762026944. Its totient is φ = 75470867071488.

The previous prime is 220202101211107. The next prime is 220202101211171. The reversal of 220202101211120 is 21112101202022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 922409 + ... + 21006071.

Almost surely, 2220202101211120 is an apocalyptic number.

220202101211120 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 220202101211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297884881013472).

220202101211120 is an abundant number, since it is smaller than the sum of its proper divisors (375567660815824).

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

220202101211120 is a wasteful number, since it uses less digits than its factorization.

220202101211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20086487 (or 20086474 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220202101211120 its reverse (21112101202022), we get a palindrome (241314202413142).

The spelling of 220202101211120 in words is "two hundred twenty trillion, two hundred two billion, one hundred one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 2797 3920 5594 11188 13985 19579 22376 27970 39158 44752 55940 78316 97895 111880 137053 156632 195790 223760 274106 313264 391580 548212 685265 783160 1096424 1370530 1566320 2192848 2741060 5482120 10964240 20083663 40167326 80334652 100418315 140585641 160669304 200836630 281171282 321338608 401673260 562342564 702928205 803346520 984099487 1124685128 1405856410 1606693040 1968198974 2249370256 2811712820 3936397948 4920497435 5623425640 7872795896 9840994870 11246851280 15745591792 19681989740 39363979480 56174005411 78727958960 112348010822 224696021644 280870027055 393218037877 449392043288 561740054110 786436075754 898784086576 1123480108220 1572872151508 1966090189385 2246960216440 2752526265139 3145744303016 3932180378770 4493920432880 5505052530278 6291488606032 7864360757540 11010105060556 13762631325695 15728721515080 22020210121112 27525262651390 31457443030160 44040420242224 55050525302780 110101050605560 220202101211120