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421121121124 = 22112870084961
BaseRepresentation
bin1100010000011001100…
…01100101101101100100
31111020222122200111022011
412020030301211231210
523344424001333444
6521243235044004
742265526316424
oct6101461455544
91436878614264
10421121121124
11152661992300
1269748740604
1330933380452
141654d324484
15ae4acbd734
hex620cc65b64

421121121124 has 18 divisors (see below), whose sum is σ = 810049099622. Its totient is φ = 191418691200.

The previous prime is 421121121121. The next prime is 421121121163.

421121121124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 420059534400 + 1061586724 = 648120^2 + 32582^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 421121121095 and 421121121104.

It is not an unprimeable number, because it can be changed into a prime (421121121121) 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 5 ways as a sum of consecutive naturals, for example, 435041997 + ... + 435042964.

Almost surely, 2421121121124 is an apocalyptic number.

421121121124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

421121121124 is a deficient number, since it is larger than the sum of its proper divisors (388927978498).

421121121124 is a wasteful number, since it uses less digits than its factorization.

421121121124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870084987 (or 870084974 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

It can be divided in two parts, 421121 and 121124, that added together give a palindrome (542245).

The spelling of 421121121124 in words is "four hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 121 242 484 870084961 1740169922 3480339844 9570934571 19141869142 38283738284 105280280281 210560560562 421121121124