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420122101 = 72910212027
BaseRepresentation
bin11001000010101…
…000110111110101
31002021112102011211
4121002220313311
51330022401401
6105404401421
713260656530
oct3102506765
91067472154
10420122101
111a6169a53
12b8846271
1369068479
143db21a17
1526d3a951
hex190a8df5

420122101 has 16 divisors (see below), whose sum is σ = 497427840. Its totient is φ = 347175360.

The previous prime is 420122099. The next prime is 420122107. The reversal of 420122101 is 101221024.

It is a happy number.

It is not a de Polignac number, because 420122101 - 21 = 420122099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420122107) 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, 206250 + ... + 208276.

It is an arithmetic number, because the mean of its divisors is an integer number (31089240).

Almost surely, 2420122101 is an apocalyptic number.

It is an amenable number.

420122101 is a deficient number, since it is larger than the sum of its proper divisors (77305739).

420122101 is a wasteful number, since it uses less digits than its factorization.

420122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 420122101 is about 20496.8802748126. The cubic root of 420122101 is about 748.9598030243.

Adding to 420122101 its reverse (101221024), we get a palindrome (521343125).

The spelling of 420122101 in words is "four hundred twenty million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 7 29 203 1021 2027 7147 14189 29609 58783 207263 411481 2069567 14486969 60017443 420122101