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202002312343400 = 23521010011561717
BaseRepresentation
bin101101111011100001010100…
…000100100010111101101000
3222111020020021110120010100122
4231323201110010202331220
5202434101213424442100
61553342325312022412
760356120416363532
oct5573412404427550
9874206243503318
10202002312343400
1159400777145a38
121a7a5499831a08
1388939758ca78a
1437c4d6d636852
15185482507a985
hexb7b854122f68

202002312343400 has 24 divisors (see below), whose sum is σ = 469655376198870. Its totient is φ = 80800924937280.

The previous prime is 202002312343379. The next prime is 202002312343471. The reversal of 202002312343400 is 4343213200202.

It can be written as a sum of positive squares in 3 ways, for example, as 191951548296964 + 10050764046436 = 13854658^2 + 3170294^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 202002312343400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505005780659 + ... + 505005781058.

Almost surely, 2202002312343400 is an apocalyptic number.

202002312343400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202002312343400 is an abundant number, since it is smaller than the sum of its proper divisors (267653063855470).

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

202002312343400 is a wasteful number, since it uses less digits than its factorization.

202002312343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010011561733 (or 1010011561724 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 202002312343400 its reverse (4343213200202), we get a palindrome (206345525543602).

The spelling of 202002312343400 in words is "two hundred two trillion, two billion, three hundred twelve million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1010011561717 2020023123434 4040046246868 5050057808585 8080092493736 10100115617170 20200231234340 25250289042925 40400462468680 50500578085850 101001156171700 202002312343400