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202001220202120 = 23541123171475733
BaseRepresentation
bin101101111011100000010010…
…111110010110111010001000
3222111020010110100111121011121
4231323200102332112322020
5202434041444332431440
61553342025055405024
760356051355341263
oct5573402276267210
9874203410447147
10202001220202120
1159400266709039
121a7a5233b23774
13889383056bb31
1437c4ca8581cda
1518547ae24834a
hexb7b812f96e88

202001220202120 has 32 divisors (see below), whose sum is σ = 465588178274520. Its totient is φ = 78829744468480.

The previous prime is 202001220202043. The next prime is 202001220202123. The reversal of 202001220202120 is 21202022100202.

It can be written as a sum of positive squares in 4 ways, for example, as 73352407418404 + 128648812783716 = 8564602^2 + 11342346^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202001220202094 and 202001220202103.

It is not an unprimeable number, because it can be changed into a prime (202001220202123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61585736227 + ... + 61585739506.

Almost surely, 2202001220202120 is an apocalyptic number.

202001220202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001220202120 is an abundant number, since it is smaller than the sum of its proper divisors (263586958072400).

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

202001220202120 is a wasteful number, since it uses less digits than its factorization.

202001220202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123171475785 (or 123171475781 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202001220202120 its reverse (21202022100202), we get a palindrome (223203242302322).

The spelling of 202001220202120 in words is "two hundred two trillion, one billion, two hundred twenty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 123171475733 246342951466 492685902932 615857378665 985371805864 1231714757330 2463429514660 4926859029320 5050030505053 10100061010106 20200122020212 25250152525265 40400244040424 50500305050530 101000610101060 202001220202120