Search a number
-
+
200202021201120 = 25351177733541453
BaseRepresentation
bin101101100001010100101010…
…010110110110010011100000
3222020212010102002011101202120
4231201110222112312103200
5202220102214411413440
61545443312220544240
760112055501224251
oct5541245226662340
9866763362141676
10200202021201120
11588772227918a4
121a5545ab9b2080
138792c7b269443
143761b8831cb28
151822aa9bb2dd0
hexb6152a5b64e0

200202021201120 has 96 divisors (see below), whose sum is σ = 630641899534752. Its totient is φ = 53386737272832.

The previous prime is 200202021201071. The next prime is 200202021201121. The reversal of 200202021201120 is 21102120202002.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 200202021201120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200202021201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54760314 + ... + 58301766.

It is an arithmetic number, because the mean of its divisors is an integer number (6569186453487).

Almost surely, 2200202021201120 is an apocalyptic number.

200202021201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200202021201120 is an abundant number, since it is smaller than the sum of its proper divisors (430439878333632).

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

200202021201120 is a wasteful number, since it uses less digits than its factorization.

200202021201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659244 (or 3659236 counting only the distinct ones).

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

Adding to 200202021201120 its reverse (21102120202002), we get a palindrome (221304141403122).

The spelling of 200202021201120 in words is "two hundred trillion, two hundred two billion, twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 117773 235546 353319 471092 588865 706638 942184 1177730 1413276 1766595 1884368 2355460 2826552 3533190 3541453 3768736 4710920 5653104 7066380 7082906 9421840 10624359 11306208 14132760 14165812 17707265 18843680 21248718 28265520 28331624 35414530 42497436 53121795 56531040 56663248 70829060 84994872 106243590 113326496 141658120 169989744 212487180 283316240 339979488 424974360 566632480 849948720 1699897440 417087544169 834175088338 1251262632507 1668350176676 2085437720845 2502525265014 3336700353352 4170875441690 5005050530028 6256313162535 6673400706704 8341750883380 10010101060056 12512626325070 13346801413408 16683501766760 20020202120112 25025252650140 33367003533520 40040404240224 50050505300280 66734007067040 100101010600560 200202021201120