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BaseRepresentation
bin10010101010101111…
…01010011010101000
3221212110112120011122
421111113222122220
5131011140413000
64334254314412
7503234205620
oct112527523250
927773476148
1010022201000
1142832a8a49
121b384b8a08
13c39491666
146b10a1880
153d9ce6085
hex2555ea6a8

10022201000 has 128 divisors (see below), whose sum is σ = 27105062400. Its totient is φ = 3397363200.

The previous prime is 10022200999. The next prime is 10022201009. The reversal of 10022201000 is 10222001.

Adding to 10022201000 its reverse (10222001), we get a palindrome (10032423001).

10022201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10022201009) by changing a digit.

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, 614957 + ... + 631043.

It is an arithmetic number, because the mean of its divisors is an integer number (211758300).

Almost surely, 210022201000 is an apocalyptic number.

10022201000 is a gapful number since it is divisible by the number (10) 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 10022201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552531200).

10022201000 is an abundant number, since it is smaller than the sum of its proper divisors (17082861400).

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

10022201000 is a wasteful number, since it uses less digits than its factorization.

10022201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16204 (or 16190 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The spelling of 10022201000 in words is "ten billion, twenty-two million, two hundred one thousand".