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200201202020000 = 255482712104063
BaseRepresentation
bin101101100001010011111001…
…100001111010111010100000
3222020212001021222201200112002
4231201103321201322322200
5202220044030204120000
61545443055035023132
760112026263262146
oct5541237141727240
9866761258650462
10200201202020000
115887694233aa05
121a55440159aaa8
138792b7a62ba9c
143761b0b5dd596
151822a5ccec8d5
hexb614f987aea0

200201202020000 has 120 divisors (see below), whose sum is σ = 493120584101376. Its totient is φ = 79983641696000.

The previous prime is 200201202019999. The next prime is 200201202020011. The reversal of 200201202020000 is 20202102002.

200201202020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10487969 + ... + 22592031.

Almost surely, 2200201202020000 is an apocalyptic number.

200201202020000 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 200201202020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246560292050688).

200201202020000 is an abundant number, since it is smaller than the sum of its proper divisors (292919382081376).

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

200201202020000 is an equidigital number, since it uses as much as digits as its factorization.

200201202020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12104920 (or 12104897 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 200201202020000 its reverse (20202102002), we get a palindrome (200221404122002).

The spelling of 200201202020000 in words is "two hundred trillion, two hundred one billion, two hundred two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 827 1000 1250 1654 2000 2500 3308 4000 4135 5000 6616 8270 10000 13232 16540 20000 20675 26464 33080 41350 66160 82700 103375 132320 165400 206750 330800 413500 516875 661600 827000 1033750 1654000 2067500 3308000 4135000 8270000 12104063 16540000 24208126 48416252 60520315 96832504 121040630 193665008 242081260 302601575 387330016 484162520 605203150 968325040 1210406300 1513007875 1936650080 2420812600 3026015750 4841625200 6052031500 7565039375 9683250400 10010060101 12104063000 15130078750 20020120202 24208126000 30260157500 40040240404 48416252000 50050300505 60520315000 80080480808 100100601010 121040630000 160160961616 200201202020 242081260000 250251502525 320321923232 400402404040 500503005050 800804808080 1001006010100 1251257512625 1601609616160 2002012020200 2502515025250 4004024040400 5005030050500 6256287563125 8008048080800 10010060101000 12512575126250 20020120202000 25025150252500 40040240404000 50050300505000 100100601010000 200201202020000