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120421210013 = 1317544892353
BaseRepresentation
bin111000000100110101…
…0011101011110011101
3102111211100202022000022
41300021222131132131
53433110312210023
6131153140241525
711462102252636
oct1601152353635
9374740668008
10120421210013
11470856a7475
121b4089a02a5
13b481543a70
145b8526c88d
1531ebe587c8
hex1c09a9d79d

120421210013 has 8 divisors (see below), whose sum is σ = 137312873208. Its totient is φ = 104619331584.

The previous prime is 120421209977. The next prime is 120421210043. The reversal of 120421210013 is 310012124021.

It can be written as a sum of positive squares in 4 ways, for example, as 42980338489 + 77440871524 = 207317^2 + 278282^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120421210013 - 216 = 120421144477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120421209973 and 120421210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120421210043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272445956 + ... + 272446397.

It is an arithmetic number, because the mean of its divisors is an integer number (17164109151).

Almost surely, 2120421210013 is an apocalyptic number.

120421210013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120421210013 is a deficient number, since it is larger than the sum of its proper divisors (16891663195).

120421210013 is a wasteful number, since it uses less digits than its factorization.

120421210013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544892383.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 120421210013 its reverse (310012124021), we get a palindrome (430433334034).

The spelling of 120421210013 in words is "one hundred twenty billion, four hundred twenty-one million, two hundred ten thousand, thirteen".

Divisors: 1 13 17 221 544892353 7083600589 9263170001 120421210013