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420071611001 = 7238331435427
BaseRepresentation
bin1100001110011100011…
…10000001101001111001
31111011021111211212001212
412013032032001221321
523340301313023001
6520551144252505
742230523531230
oct6071616015171
91434244755055
10420071611001
11152173522869
12694b5171135
13307c6ac9b43
141648dba9b17
15add8aac7bb
hex61ce381a79

420071611001 has 16 divisors (see below), whose sum is σ = 506990582784. Its totient is φ = 340257051024.

The previous prime is 420071610977. The next prime is 420071611013. The reversal of 420071611001 is 100116170024.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420071611001 is a prime.

It is a super-3 number, since 3×4200716110013 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420071611051) 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, 15704351 + ... + 15731076.

It is an arithmetic number, because the mean of its divisors is an integer number (31686911424).

Almost surely, 2420071611001 is an apocalyptic number.

It is an amenable number.

420071611001 is a deficient number, since it is larger than the sum of its proper divisors (86918971783).

420071611001 is a wasteful number, since it uses less digits than its factorization.

420071611001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31435540.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 420071611001 its reverse (100116170024), we get a palindrome (520187781025).

The spelling of 420071611001 in words is "four hundred twenty billion, seventy-one million, six hundred eleven thousand, one".

Divisors: 1 7 23 83 161 581 1909 13363 31435427 220047989 723014821 2609140441 5061103747 18263983087 60010230143 420071611001