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202023114020200 = 235211613314548001
BaseRepresentation
bin101101111011110100101011…
…111100101001010101101000
3222111022012222011120210102201
4231323310223330221111220
5202434421314142121300
61553400045400105544
760360455044616554
oct5573645374512550
9874265864523381
10202023114020200
1159409581150670
121a7a95241652b4
13889590c3c4585
1437c5d841a2864
1518551413a066a
hexb7bd2bf29568

202023114020200 has 192 divisors, whose sum is σ = 522377688277440. Its totient is φ = 72040320000000.

The previous prime is 202023114020179. The next prime is 202023114020201. The reversal of 202023114020200 is 2020411320202.

It is not an unprimeable number, because it can be changed into a prime (202023114020201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42146200 + ... + 46694200.

It is an arithmetic number, because the mean of its divisors is an integer number (2720717126445).

Almost surely, 2202023114020200 is an apocalyptic number.

202023114020200 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 202023114020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261188844138720).

202023114020200 is an abundant number, since it is smaller than the sum of its proper divisors (320354574257240).

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

202023114020200 is a wasteful number, since it uses less digits than its factorization.

202023114020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548420 (or 4548411 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 202023114020200 its reverse (2020411320202), we get a palindrome (204043525340402).

The spelling of 202023114020200 in words is "two hundred two trillion, twenty-three billion, one hundred fourteen million, twenty thousand, two hundred".