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423021120324 = 22311371011734957
BaseRepresentation
bin1100010011111100000…
…01100000101101000100
31111102220001212110012220
412021332001200231010
523412321401322244
6522155550412340
742363600123615
oct6117601405504
91442801773186
10423021120324
11153447437880
1269b98b010b0
1330b76bb382a
141668d7cbc0c
15b00c9cb319
hex627e060b44

423021120324 has 192 divisors, whose sum is σ = 1123514848512. Its totient is φ = 122750208000.

The previous prime is 423021120317. The next prime is 423021120331.

It is a happy number.

423021120324 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (423021120317) and next prime (423021120331).

It is a junction number, because it is equal to n+sod(n) for n = 423021120294 and 423021120303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85335654 + ... + 85340610.

It is an arithmetic number, because the mean of its divisors is an integer number (5851639836).

Almost surely, 2423021120324 is an apocalyptic number.

423021120324 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 423021120324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561757424256).

423021120324 is an abundant number, since it is smaller than the sum of its proper divisors (700493728188).

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

423021120324 is a wasteful number, since it uses less digits than its factorization.

423021120324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 423021 and 120324, that added together give a palindrome (543345).

The spelling of 423021120324 in words is "four hundred twenty-three billion, twenty-one million, one hundred twenty thousand, three hundred twenty-four".