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421330033124 = 2271113897331613
BaseRepresentation
bin1100010000110010011…
…10100001100111100100
31111021112012210022200122
412020121032201213210
523400340442024444
6521320100501112
742303644122340
oct6103116414744
91437465708618
10421330033124
11152759901a50
12697a66aa798
1330967738010
141656cd86620
15ae5e2d84ee
hex62193a19e4

421330033124 has 192 divisors, whose sum is σ = 1003088862720. Its totient is φ = 149527572480.

The previous prime is 421330033079. The next prime is 421330033153.

421330033124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 421330033093 and 421330033102.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 261208142 + ... + 261209754.

It is an arithmetic number, because the mean of its divisors is an integer number (5224421160).

Almost surely, 2421330033124 is an apocalyptic number.

421330033124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421330033124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501544431360).

421330033124 is an abundant number, since it is smaller than the sum of its proper divisors (581758829596).

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

421330033124 is a wasteful number, since it uses less digits than its factorization.

421330033124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 4213300 and 33124, that added together give a palindrome (4246424).

The spelling of 421330033124 in words is "four hundred twenty-one billion, three hundred thirty million, thirty-three thousand, one hundred twenty-four".