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22100230100 = 22521329586213
BaseRepresentation
bin10100100101010001…
…101011111111010100
32010001012111000022202
4110211101223333110
5330230124330400
614052552344032
71411443566504
oct244521537724
963035430282
1022100230100
119411004a83
1243493a5018
132112846440
1410d91d1a04
1589532b4d5
hex52546bfd4

22100230100 has 72 divisors (see below), whose sum is σ = 53427543960. Its totient is φ = 7878689280.

The previous prime is 22100230093. The next prime is 22100230111. The reversal of 22100230100 is 103200122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 10980105796 + 11120124304 = 104786^2 + 105452^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 255407 + ... + 330806.

Almost surely, 222100230100 is an apocalyptic number.

22100230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100230100 is an abundant number, since it is smaller than the sum of its proper divisors (31327313860).

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

22100230100 is a wasteful number, since it uses less digits than its factorization.

22100230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586269 (or 586262 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 22100230100 its reverse (103200122), we get a palindrome (22203430222).

The spelling of 22100230100 in words is "twenty-two billion, one hundred million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 145 260 290 325 377 580 650 725 754 1300 1450 1508 1885 2900 3770 7540 9425 18850 37700 586213 1172426 2344852 2931065 5862130 7620769 11724260 14655325 15241538 17000177 29310650 30483076 34000354 38103845 58621300 68000708 76207690 85000885 152415380 170001770 190519225 221002301 340003540 381038450 425004425 442004602 762076900 850008850 884009204 1105011505 1700017700 2210023010 4420046020 5525057525 11050115050 22100230100