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202021200112121 = 13397113153345937
BaseRepresentation
bin101101111011110010111001…
…110111101010100111111001
3222111022001000210020012010022
4231323302321313222213321
5202434403404212041441
61553355131430300225
760360356444642615
oct5573627167524771
9874261023205108
10202021200112121
1159408789866155
121a7a908b1b7675
138895695a313a0
1437c5c41d18345
15185507d34684b
hexb7bcb9dea9f9

202021200112121 has 16 divisors (see below), whose sum is σ = 218111863814544. Its totient is φ = 186009200492544.

The previous prime is 202021200112091. The next prime is 202021200112129. The reversal of 202021200112121 is 121211002120202.

It can be written as a sum of positive squares in 8 ways, for example, as 433339141225 + 201587860970896 = 658285^2 + 14198164^2 .

It is a de Polignac number, because none of the positive numbers 2k-202021200112121 is a prime.

It is a super-2 number, since 2×2020212001121212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202021200112121.

It is not an unprimeable number, because it can be changed into a prime (202021200112129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583809665 + ... + 584155601.

It is an arithmetic number, because the mean of its divisors is an integer number (13631991488409).

Almost surely, 2202021200112121 is an apocalyptic number.

It is an amenable number.

202021200112121 is a deficient number, since it is larger than the sum of its proper divisors (16090663702423).

202021200112121 is a wasteful number, since it uses less digits than its factorization.

202021200112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459500.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202021200112121 its reverse (121211002120202), we get a palindrome (323232202232323).

The spelling of 202021200112121 in words is "two hundred two trillion, twenty-one billion, two hundred million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 13 397 5161 113153 345937 1470989 4497181 44921741 137336989 583982633 1785380857 39143809361 508869521693 15540092316317 202021200112121