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2202022212120 = 23325171013562451
BaseRepresentation
bin100000000010110010110…
…000000111001000011000
321210111210201021112222200
4200002302300013020120
5242034220141241440
64403332310050200
7315043106655153
oct40026260071030
97714721245880
102202022212120
1177996614a975
122b6924949960
1312c85a806b63
147881536cc9a
153c42dc50c30
hex200b2c07218

2202022212120 has 192 divisors, whose sum is σ = 7652574390240. Its totient is φ = 547192320000.

The previous prime is 2202022212059. The next prime is 2202022212133. The reversal of 2202022212120 is 212122202022.

2202022212120 is a `hidden beast` number, since 220 + 202 + 221 + 2 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2202022212093 and 2202022212102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1163106 + ... + 2399345.

Almost surely, 22202022212120 is an apocalyptic number.

2202022212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202022212120 is an abundant number, since it is smaller than the sum of its proper divisors (5450552178120).

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

2202022212120 is a wasteful number, since it uses less digits than its factorization.

2202022212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562586 (or 3562579 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2202022212120 its reverse (212122202022), we get a palindrome (2414144414142).

It can be divided in two parts, 2202022 and 212120, that added together give a palindrome (2414142).

The spelling of 2202022212120 in words is "two trillion, two hundred two billion, twenty-two million, two hundred twelve thousand, one hundred twenty".