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202021100020212 = 22311171937417342787
BaseRepresentation
bin101101111011110010110011…
…111001110110000111110100
3222111022000202210212222211120
4231323302303321312013310
5202434403203101121322
61553355113453103540
760360354121115514
oct5573626371660764
9874260683788746
10202021100020212
1159408738311670
121a7a9061787bb0
13889567b087ac5
1437c5c32901844
151855074674a5c
hexb7bcb3e761f4

202021100020212 has 768 divisors, whose sum is σ = 611263370833920. Its totient is φ = 51103324569600.

The previous prime is 202021100020133. The next prime is 202021100020213. The reversal of 202021100020212 is 212020001120202.

It is a junction number, because it is equal to n+sod(n) for n = 202021100020191 and 202021100020200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202021100020213) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4721531883 + ... + 4721574669.

It is an arithmetic number, because the mean of its divisors is an integer number (795915847440).

Almost surely, 2202021100020212 is an apocalyptic number.

202021100020212 is a gapful number since it is divisible by the number (22) 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 202021100020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305631685416960).

202021100020212 is an abundant number, since it is smaller than the sum of its proper divisors (409242270813708).

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

202021100020212 is a wasteful number, since it uses less digits than its factorization.

202021100020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42992 (or 42990 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202021100020212 its reverse (212020001120202), we get a palindrome (414041101140414).

The spelling of 202021100020212 in words is "two hundred two trillion, twenty-one billion, one hundred million, twenty thousand, two hundred twelve".