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10414213202220 = 2235670125902137
BaseRepresentation
bin1001011110001011111101…
…1110101000000100101100
31100212120220102110002212020
42113202333132220010230
52331111302034432340
634052120135310140
72123254624435542
oct227427736500454
940776812402766
1010414213202220
113355708944633
121202416b1b350
135a7096302c99
1428009cc25d92
15130d6e5359d0
hex978bf7a812c

10414213202220 has 48 divisors (see below), whose sum is σ = 29164149651168. Its totient is φ = 2776708979200.

The previous prime is 10414213202203. The next prime is 10414213202227. The reversal of 10414213202220 is 2220231241401.

It is a super-2 number, since 2×104142132022202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10414213202227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12549009 + ... + 13353128.

It is an arithmetic number, because the mean of its divisors is an integer number (607586451066).

Almost surely, 210414213202220 is an apocalyptic number.

10414213202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414213202220 is an abundant number, since it is smaller than the sum of its proper divisors (18749936448948).

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

10414213202220 is a wasteful number, since it uses less digits than its factorization.

10414213202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25908850 (or 25908848 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10414213202220 its reverse (2220231241401), we get a palindrome (12634444443621).

The spelling of 10414213202220 in words is "ten trillion, four hundred fourteen billion, two hundred thirteen million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 6701 13402 20103 26804 33505 40206 67010 80412 100515 134020 201030 402060 25902137 51804274 77706411 103608548 129510685 155412822 259021370 310825644 388532055 518042740 777064110 1554128220 173570220037 347140440074 520710660111 694280880148 867851100185 1041421320222 1735702200370 2082842640444 2603553300555 3471404400740 5207106601110 10414213202220