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420123240321 = 3318354427159
BaseRepresentation
bin1100001110100010100…
…10111110011110000001
31111011102002222220011220
412013101102332132001
523340403022142241
6521000231025253
742232021423101
oct6072122763601
91434362886156
10420123240321
1115219a686724
126950a50b229
1330804705a35
14164969a9201
15addd3aa166
hex61d14be781

420123240321 has 16 divisors (see below), whose sum is σ = 585200824320. Its totient is φ = 267781617360.

The previous prime is 420123240307. The next prime is 420123240331. The reversal of 420123240321 is 123042321024.

It is a happy number.

It is not a de Polignac number, because 420123240321 - 25 = 420123240289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420123240291 and 420123240300.

It is not an unprimeable number, because it can be changed into a prime (420123240301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27205861 + ... + 27221298.

It is an arithmetic number, because the mean of its divisors is an integer number (36575051520).

Almost surely, 2420123240321 is an apocalyptic number.

It is an amenable number.

420123240321 is a deficient number, since it is larger than the sum of its proper divisors (165077583999).

420123240321 is a wasteful number, since it uses less digits than its factorization.

420123240321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54427276.

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

Adding to 420123240321 its reverse (123042321024), we get a palindrome (543165561345).

The spelling of 420123240321 in words is "four hundred twenty billion, one hundred twenty-three million, two hundred forty thousand, three hundred twenty-one".

Divisors: 1 3 31 83 93 249 2573 7719 54427159 163281477 1687241929 4517454197 5061725787 13552362591 140041080107 420123240321