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120421000021 = 7210132426033
BaseRepresentation
bin111000000100110100…
…1101010001101010101
3102111211100100121221211
41300021221222031111
53433110234000041
6131153131541421
711462100416500
oct1601151521525
9374740317854
10120421000021
1147085573723
121b4088ba871
13b48149c2ca
145b85216137
1531ebe16481
hex1c09a6a355

120421000021 has 12 divisors (see below), whose sum is σ = 140219913132. Its totient is φ = 103116064128.

The previous prime is 120421000009. The next prime is 120421000061. The reversal of 120421000021 is 120000124021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2661528100 + 117759471921 = 51590^2 + 343161^2 .

It is not a de Polignac number, because 120421000021 - 211 = 120420997973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120420999965 and 120421000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120421000061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1163380 + ... + 1262653.

It is an arithmetic number, because the mean of its divisors is an integer number (11684992761).

Almost surely, 2120421000021 is an apocalyptic number.

It is an amenable number.

120421000021 is a deficient number, since it is larger than the sum of its proper divisors (19798913111).

120421000021 is a wasteful number, since it uses less digits than its factorization.

120421000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427060 (or 2427053 counting only the distinct ones).

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

Adding to 120421000021 its reverse (120000124021), we get a palindrome (240421124042).

The spelling of 120421000021 in words is "one hundred twenty billion, four hundred twenty-one million, twenty-one", and thus it is an aban number.

Divisors: 1 7 49 1013 7091 49637 2426033 16982231 118875617 2457571429 17203000003 120421000021