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201000200221938 = 2313149157311099409
BaseRepresentation
bin101101101100111100000001…
…100010001011010011110010
3222100200102122112210210220210
4231230330001202023103302
5202321141402224100223
61551254114531244550
760223533224034135
oct5554740142132362
9870612575723823
10201000200221938
1159054784a62a17
121a663228449756
138820311b8ba30
14378c6668aa21c
1518387231a5893
hexb6cf0188b4f2

201000200221938 has 64 divisors (see below), whose sum is σ = 435857136624000. Its totient is φ = 61427179207680.

The previous prime is 201000200221901. The next prime is 201000200221939. The reversal of 201000200221938 is 839122002000102.

It is not an unprimeable number, because it can be changed into a prime (201000200221939) 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 31 ways as a sum of consecutive naturals, for example, 182275978 + ... + 183375386.

It is an arithmetic number, because the mean of its divisors is an integer number (6810267759750).

Almost surely, 2201000200221938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000200221938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217928568312000).

201000200221938 is an abundant number, since it is smaller than the sum of its proper divisors (234856936402062).

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

201000200221938 is a wasteful number, since it uses less digits than its factorization.

201000200221938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115307.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 201000200221938 in words is "two hundred one trillion, two hundred million, two hundred twenty-one thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 149 298 447 894 1937 3874 5811 11622 15731 31462 47193 94386 204503 409006 613509 1099409 1227018 2198818 2343919 3298227 4687838 6596454 7031757 14063514 14292317 28584634 30470947 42876951 60941894 85753902 91412841 163811941 182825682 327623882 491435823 982871646 2129555233 4259110466 6388665699 12777331398 17294802979 34589605958 51884408937 103768817874 224832438727 449664877454 674497316181 1348994632362 2576925643871 5153851287742 7730776931613 15461553863226 33500033370323 67000066740646 100500100110969 201000200221938