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101222021000 = 2353101222021
BaseRepresentation
bin101111001000101001…
…1010111011110001000
3100200021100002102220202
41132101103113132020
53124300314133000
6114300055111332
710212242660642
oct1362123273610
9320240072822
10101222021000
1139a23212611
121774b072548
139711a441a9
144c83483892
152976674dd5
hex17914d7788

101222021000 has 32 divisors (see below), whose sum is σ = 236859531480. Its totient is φ = 40488808000.

The previous prime is 101222020981. The next prime is 101222021003. The reversal of 101222021000 is 120222101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6760457284 + 94461563716 = 82222^2 + 307346^2 .

It is not an unprimeable number, because it can be changed into a prime (101222021003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50610011 + ... + 50612010.

Almost surely, 2101222021000 is an apocalyptic number.

101222021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222021000 is an abundant number, since it is smaller than the sum of its proper divisors (135637510480).

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

101222021000 is a wasteful number, since it uses less digits than its factorization.

101222021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101222042 (or 101222028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101222021000 its reverse (120222101), we get a palindrome (101342243101).

The spelling of 101222021000 in words is "one hundred one billion, two hundred twenty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 101222021 202444042 404888084 506110105 809776168 1012220210 2024440420 2530550525 4048880840 5061101050 10122202100 12652752625 20244404200 25305505250 50611010500 101222021000