Search a number
-
+
200202012010100 = 22522002020120101
BaseRepresentation
bin101101100001010100101001…
…110011110010011001110100
3222020212010101102212110001102
4231201110221303302121310
5202220102210033310400
61545443311251545232
760112055330134262
oct5541245163623164
9866763342773042
10200202012010100
1158877218584511
121a5545a88bb218
138792c7939bb79
143761b87009432
151822aa8e999d5
hexb61529cf2674

200202012010100 has 18 divisors (see below), whose sum is σ = 434438366062134. Its totient is φ = 80080804804000.

The previous prime is 200202012010093. The next prime is 200202012010151. The reversal of 200202012010100 is 1010210202002.

It is a happy number.

200202012010100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2887127824 + 200199124882276 = 53732^2 + 14149174^2 .

It is a super-2 number, since 2×2002020120101002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1001010059951 + ... + 1001010060150.

Almost surely, 2200202012010100 is an apocalyptic number.

200202012010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200202012010100 is an abundant number, since it is smaller than the sum of its proper divisors (234236354052034).

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

200202012010100 is a wasteful number, since it uses less digits than its factorization.

200202012010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002020120115 (or 2002020120108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200202012010100 its reverse (1010210202002), we get a palindrome (201212222212102).

The spelling of 200202012010100 in words is "two hundred trillion, two hundred two billion, twelve million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2002020120101 4004040240202 8008080480404 10010100600505 20020201201010 40040402402020 50050503002525 100101006005050 200202012010100