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10000220032 = 271115434603
BaseRepresentation
bin10010101000000111…
…10011111110000000
3221210221011210221201
421110003303332000
5130440024020112
64332151230544
7502546316305
oct112403637600
927727153851
1010000220032
114271955360
121b31078454
13c34a6667a
146ac1bd0ac
153d7e03257
hex2540f3f80

10000220032 has 64 divisors (see below), whose sum is σ = 21752242560. Its totient is φ = 4541621760.

The previous prime is 10000220023. The next prime is 10000220053. The reversal of 10000220032 is 23002200001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2170243 + ... + 2174845.

It is an arithmetic number, because the mean of its divisors is an integer number (339878790).

Almost surely, 210000220032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10876121280).

10000220032 is an abundant number, since it is smaller than the sum of its proper divisors (11752022528).

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

10000220032 is a wasteful number, since it uses less digits than its factorization.

10000220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10000220032 its reverse (23002200001), we get a palindrome (33002420033).

It can be divided in two parts, 10000 and 220032, that added together give a palindrome (230032).

The spelling of 10000220032 in words is "ten billion, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1543 3086 4603 6172 9206 12344 16973 18412 24688 33946 36824 49376 50633 67892 73648 98752 101266 135784 147296 197504 202532 271568 294592 405064 543136 589184 810128 1086272 1620256 2172544 3240512 6481024 7102429 14204858 28409716 56819432 78126719 113638864 156253438 227277728 312506876 454555456 625013752 909110912 1250027504 2500055008 5000110016 10000220032