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1000042001 = 72353163719
BaseRepresentation
bin111011100110110…
…110111000010001
32120200202101201122
4323212312320101
54022002321001
6243122212025
733532134230
oct7346667021
92520671648
101000042001
114735523a2
1223aab4015
1312c25333a
1496b5cb17
155cbddb1b
hex3b9b6e11

1000042001 has 32 divisors (see below), whose sum is σ = 1224253440. Its totient is φ = 798393024.

The previous prime is 1000041997. The next prime is 1000042007. The reversal of 1000042001 is 1002400001.

It is a cyclic number.

It is not a de Polignac number, because 1000042001 - 22 = 1000041997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000042001.

It is not an unprimeable number, because it can be changed into a prime (1000042007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1390520 + ... + 1391238.

It is an arithmetic number, because the mean of its divisors is an integer number (38257920).

Almost surely, 21000042001 is an apocalyptic number.

It is an amenable number.

1000042001 is a deficient number, since it is larger than the sum of its proper divisors (224211439).

1000042001 is a wasteful number, since it uses less digits than its factorization.

1000042001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965.

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1000042001 is about 31623.4406888308. The cubic root of 1000042001 is about 1000.0140001373.

Adding to 1000042001 its reverse (1002400001), we get a palindrome (2002442002).

The spelling of 1000042001 in words is "one billion, forty-two thousand, one".

Divisors: 1 7 23 53 161 163 371 719 1141 1219 3749 5033 8533 8639 16537 26243 38107 60473 115759 117197 198697 266749 820379 876461 1390879 2695531 6135227 6211441 18868717 43480087 142863143 1000042001