Search a number
-
+
202020222201120 = 25325501232798951
BaseRepresentation
bin101101111011110001111111…
…100101001110110100100000
3222111021221111122010011102100
4231323301333211032310200
5202434344403340413440
61553354450414250400
760360323301561261
oct5573617745166440
9874257448104370
10202020222201120
115940832785a144
121a7a8a577b6a00
13889556b25941b
1437c5b8c0ba968
15185502257a230
hexb7bc7f94ed20

202020222201120 has 144 divisors (see below), whose sum is σ = 689408008615872. Its totient is φ = 53870965209600.

The previous prime is 202020222201107. The next prime is 202020222201131. The reversal of 202020222201120 is 21102222020202.

202020222201120 is a `hidden beast` number, since 20 + 202 + 0 + 222 + 201 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×2020202222011203 (a number of 44 digits) contains 333 as substring.

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 = 202020222201093 and 202020222201102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70777645 + ... + 73576595.

It is an arithmetic number, because the mean of its divisors is an integer number (4787555615388).

Almost surely, 2202020222201120 is an apocalyptic number.

202020222201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202020222201120 is an abundant number, since it is smaller than the sum of its proper divisors (487387786414752).

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

202020222201120 is a wasteful number, since it uses less digits than its factorization.

202020222201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849095 (or 2849084 counting only the distinct ones).

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

Adding to 202020222201120 its reverse (21102222020202), we get a palindrome (223122444221322).

The spelling of 202020222201120 in words is "two hundred two trillion, twenty billion, two hundred twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 50123 100246 150369 200492 250615 300738 400984 451107 501230 601476 751845 801968 902214 1002460 1202952 1503690 1603936 1804428 2004920 2255535 2405904 2798951 3007380 3608856 4009840 4511070 4811808 5597902 6014760 7217712 8019680 8396853 9022140 11195804 12029520 13994755 14435424 16793706 18044280 22391608 24059040 25190559 27989510 33587412 36088560 41984265 44783216 50381118 55979020 67174824 72177120 83968530 89566432 100762236 111958040 125952795 134349648 167937060 201524472 223916080 251905590 268699296 335874120 403048944 447832160 503811180 671748240 806097888 1007622360 1343496480 2015244720 4030489440 140291820973 280583641946 420875462919 561167283892 701459104865 841750925838 1122334567784 1262626388757 1402918209730 1683501851676 2104377314595 2244669135568 2525252777514 2805836419460 3367003703352 4208754629190 4489338271136 5050505555028 5611672838920 6313131943785 6734007406704 8417509258380 10101011110056 11223345677840 12626263887570 13468014813408 16835018516760 20202022220112 22446691355680 25252527775140 33670037033520 40404044440224 50505055550280 67340074067040 101010111100560 202020222201120