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101000220100 = 22521377692477
BaseRepresentation
bin101111000010000010…
…1010000110111000100
3100122200212201210021121
41132010011100313010
53123322024020400
6114222053123324
710203610464043
oct1360405206704
9318625653247
10101000220100
1139919a9a28a
12176a8929544
1396a7ac5b60
144c61c2855a
152961e6121a
hex1784150dc4

101000220100 has 36 divisors (see below), whose sum is σ = 236029748164. Its totient is φ = 37292388480.

The previous prime is 101000220067. The next prime is 101000220103. The reversal of 101000220100 is 1022000101.

It can be written as a sum of positive squares in 6 ways, for example, as 15029288836 + 85970931264 = 122594^2 + 293208^2 .

It is not an unprimeable number, because it can be changed into a prime (101000220103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38844939 + ... + 38847538.

Almost surely, 2101000220100 is an apocalyptic number.

101000220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000220100 is an abundant number, since it is smaller than the sum of its proper divisors (135029528064).

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

101000220100 is a wasteful number, since it uses less digits than its factorization.

101000220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77692504 (or 77692497 counting only the distinct ones).

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

Adding to 101000220100 its reverse (1022000101), we get a palindrome (102022220201).

The spelling of 101000220100 in words is "one hundred one billion, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 77692477 155384954 310769908 388462385 776924770 1010002201 1553849540 1942311925 2020004402 3884623850 4040008804 5050011005 7769247700 10100022010 20200044020 25250055025 50500110050 101000220100