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201002013331300 = 225216517312169181
BaseRepresentation
bin101101101100111101101101…
…100110101000111101100100
3222100200121022220111022101101
4231230331231212220331210
5202321204110403100200
61551255014500405444
760223626161151226
oct5554755546507544
9870617286438341
10201002013331300
1159055525460905
121a6636536a6884
1388205406bb9cc
14378c7995d6416
1518387cc44d26a
hexb6cf6d9a8f64

201002013331300 has 36 divisors (see below), whose sum is σ = 436177045483956. Its totient is φ = 80400311958400.

The previous prime is 201002013331279. The next prime is 201002013331331. The reversal of 201002013331300 is 3133310200102.

It can be written as a sum of positive squares in 6 ways, for example, as 262365230656 + 200739648100644 = 512216^2 + 14168262^2 .

It is a super-2 number, since 2×2010020133313002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10432710 + ... + 22601890.

It is an arithmetic number, because the mean of its divisors is an integer number (12116029041221).

Almost surely, 2201002013331300 is an apocalyptic number.

201002013331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002013331300 is an abundant number, since it is smaller than the sum of its proper divisors (235175032152656).

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

201002013331300 is a wasteful number, since it uses less digits than its factorization.

201002013331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12334368 (or 12334361 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 201002013331300 its reverse (3133310200102), we get a palindrome (204135323531402).

The spelling of 201002013331300 in words is "two hundred one trillion, two billion, thirteen million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 165173 330346 660692 825865 1651730 3303460 4129325 8258650 12169181 16517300 24338362 48676724 60845905 121691810 243383620 304229525 608459050 1216918100 2010020133313 4020040266626 8040080533252 10050100666565 20100201333130 40200402666260 50250503332825 100501006665650 201002013331300