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202101021012220 = 2251117416211212203
BaseRepresentation
bin101101111100111101001111…
…100100001111000011111100
3222111120200001122100001020121
4231330331033210033003330
5202442210342334342340
61553455532145224324
760366213463255231
oct5574751744170374
9874520048301217
10202101021012220
115943961a664890
121a8006470320a4
1388a0076a18c15
1437c9a54d91788
1518571a0c3894a
hexb7cf4f90f0fc

202101021012220 has 192 divisors, whose sum is σ = 502270122557952. Its totient is φ = 67470050304000.

The previous prime is 202101021012199. The next prime is 202101021012221. The reversal of 202101021012220 is 22210120101202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202101021012194 and 202101021012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202101021012221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 952288639 + ... + 952500841.

It is an arithmetic number, because the mean of its divisors is an integer number (2615990221656).

Almost surely, 2202101021012220 is an apocalyptic number.

202101021012220 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 202101021012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251135061278976).

202101021012220 is an abundant number, since it is smaller than the sum of its proper divisors (300169101545732).

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

202101021012220 is a wasteful number, since it uses less digits than its factorization.

202101021012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218492 (or 218490 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202101021012220 its reverse (22210120101202), we get a palindrome (224311141113422).

The spelling of 202101021012220 in words is "two hundred two trillion, one hundred one billion, twenty-one million, twelve thousand, two hundred twenty".