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201042006 = 231131971013
BaseRepresentation
bin10111111101110…
…10100001010110
3112000021222210020
423332322201112
5402431321011
631541010010
74660554204
oct1376724126
9460258706
10201042006
11a3534920
12573b3906
1332860689
141c9b4074
15129b3006
hexbfba856

201042006 has 64 divisors (see below), whose sum is σ = 457906176. Its totient is φ = 58291200.

The previous prime is 201041999. The next prime is 201042013. The reversal of 201042006 is 600240102.

It is an interprime number because it is at equal distance from previous prime (201041999) and next prime (201042013).

It is a congruent number.

It is an unprimeable number.

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, 197956 + ... + 198968.

It is an arithmetic number, because the mean of its divisors is an integer number (7154784).

Almost surely, 2201042006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201042006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228953088).

201042006 is an abundant number, since it is smaller than the sum of its proper divisors (256864170).

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

201042006 is a wasteful number, since it uses less digits than its factorization.

201042006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 201042006 is about 14178.9282387633. The cubic root of 201042006 is about 585.8174036116.

Adding to 201042006 its reverse (600240102), we get a palindrome (801282108).

The spelling of 201042006 in words is "two hundred one million, forty-two thousand, six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 97 186 194 291 341 582 682 1013 1023 1067 2026 2046 2134 3007 3039 3201 6014 6078 6402 9021 11143 18042 22286 31403 33077 33429 62806 66154 66858 94209 98261 99231 188418 196522 198462 294783 345433 589566 690866 1036299 1080871 2072598 2161742 3046091 3242613 6092182 6485226 9138273 18276546 33507001 67014002 100521003 201042006