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201043413000 = 233253127175891
BaseRepresentation
bin1011101100111100011…
…1110000100000001000
3201012221001122120001100
42323033013300200020
511243214103204000
6232205202021400
720345020546263
oct2731707604010
9635831576040
10201043413000
11782978468a1
1232b69047860
1315c5c549511
149a328cdcda
155369d7da00
hex2ecf1f0808

201043413000 has 192 divisors, whose sum is σ = 684881233920. Its totient is φ = 53189136000.

The previous prime is 201043412963. The next prime is 201043413019. The reversal of 201043413000 is 314340102.

201043413000 is a `hidden beast` number, since 20 + 1 + 0 + 4 + 341 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 1055055 + ... + 1230945.

It is an arithmetic number, because the mean of its divisors is an integer number (3567089760).

Almost surely, 2201043413000 is an apocalyptic number.

201043413000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201043413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342440616960).

201043413000 is an abundant number, since it is smaller than the sum of its proper divisors (483837820920).

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

201043413000 is a wasteful number, since it uses less digits than its factorization.

201043413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176045 (or 176028 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201043413000 its reverse (314340102), we get a palindrome (201357753102).

The spelling of 201043413000 in words is "two hundred one billion, forty-three million, four hundred thirteen thousand".