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32011000200 = 23335220172939
BaseRepresentation
bin11101110100000000…
…010001100110001000
310001121220100022001000
4131310000101212020
51011024304001300
622412230455000
72212156004124
oct356400214610
9101556308030
1032011000200
1112637414273
126254504460
133031bc134a
141799568584
15c75460c00
hex774011988

32011000200 has 192 divisors, whose sum is σ = 110352312000. Its totient is φ = 8529131520.

The previous prime is 32011000157. The next prime is 32011000249. The reversal of 32011000200 is 200011023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10890331 + ... + 10893269.

It is an arithmetic number, because the mean of its divisors is an integer number (574751625).

Almost surely, 232011000200 is an apocalyptic number.

32011000200 is a gapful number since it is divisible by the number (30) 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 32011000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55176156000).

32011000200 is an abundant number, since it is smaller than the sum of its proper divisors (78341311800).

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

32011000200 is a wasteful number, since it uses less digits than its factorization.

32011000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 32011000200 its reverse (200011023), we get a palindrome (32211011223).

The spelling of 32011000200 in words is "thirty-two billion, eleven million, two hundred", and thus it is an aban number.