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420200440031 = 1777331976291
BaseRepresentation
bin1100001110101011110…
…01011110000011011111
31111011121111021001021102
412013111321132003133
523341032303040111
6521012025423315
742233646544121
oct6072571360337
91434544231242
10420200440031
1115222a214a39
126953033ab3b
13308176c5638
14164a2d43211
15ade505913b
hex61d5e5e0df

420200440031 has 8 divisors (see below), whose sum is σ = 445493700144. Its totient is φ = 394971134080.

The previous prime is 420200440007. The next prime is 420200440067. The reversal of 420200440031 is 130044002024.

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 420200440031 - 214 = 420200423647 is a prime.

It is a super-2 number, since 2×4202004400312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420200439985 and 420200440012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420200440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15975005 + ... + 16001286.

It is an arithmetic number, because the mean of its divisors is an integer number (55686712518).

Almost surely, 2420200440031 is an apocalyptic number.

420200440031 is a deficient number, since it is larger than the sum of its proper divisors (25293260113).

420200440031 is a wasteful number, since it uses less digits than its factorization.

420200440031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31977081.

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 420200440031 its reverse (130044002024), we get a palindrome (550244442055).

The spelling of 420200440031 in words is "four hundred twenty billion, two hundred million, four hundred forty thousand, thirty-one".

Divisors: 1 17 773 13141 31976291 543596947 24717672943 420200440031