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10100221000 = 235310100221
BaseRepresentation
bin10010110100000010…
…10010010001001000
3222001220100101111021
421122001102101020
5131141124033000
64350122442224
7505202314312
oct113201222110
928056311437
1010100221000
114313347591
121b5a663374
13c4c6aa73c
146bb5b07b2
153e1aa811a
hex25a052448

10100221000 has 32 divisors (see below), whose sum is σ = 23634519480. Its totient is φ = 4040088000.

The previous prime is 10100220983. The next prime is 10100221003. The reversal of 10100221000 is 12200101.

It can be written as a sum of positive squares in 4 ways, for example, as 4834977156 + 5265243844 = 69534^2 + 72562^2 .

It is not an unprimeable number, because it can be changed into a prime (10100221003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5049111 + ... + 5051110.

Almost surely, 210100221000 is an apocalyptic number.

10100221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100221000 is an abundant number, since it is smaller than the sum of its proper divisors (13534298480).

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

10100221000 is a wasteful number, since it uses less digits than its factorization.

10100221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100242 (or 10100228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10100221000 its reverse (12200101), we get a palindrome (10112421101).

The spelling of 10100221000 in words is "ten billion, one hundred million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10100221 20200442 40400884 50501105 80801768 101002210 202004420 252505525 404008840 505011050 1010022100 1262527625 2020044200 2525055250 5050110500 10100221000