Search a number
-
+
22010112100100 = 2252401548880601
BaseRepresentation
bin1010000000100101000001…
…11010011100011100000100
32212221010221120000021011202
411000102200322130130010
510341103202144200400
6114451150024322032
74431115044661235
oct500224072343404
985833846007152
1022010112100100
117016488529343
12257585a013318
13c38710824797
1456141bad108c
152828009b64d5
hex1404a0e9c704

22010112100100 has 36 divisors (see below), whose sum is σ = 47881050434868. Its totient is φ = 8782089600000.

The previous prime is 22010112100049. The next prime is 22010112100147. The reversal of 22010112100100 is 100121101022.

It can be written as a sum of positive squares in 6 ways, for example, as 666469773376 + 21343642326724 = 816376^2 + 4619918^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274400201 + ... + 274480400.

Almost surely, 222010112100100 is an apocalyptic number.

22010112100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010112100100 is an abundant number, since it is smaller than the sum of its proper divisors (25870938334768).

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

22010112100100 is a wasteful number, since it uses less digits than its factorization.

22010112100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548881016 (or 548881009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22010112100100 its reverse (100121101022), we get a palindrome (22110233201122).

The spelling of 22010112100100 in words is "twenty-two trillion, ten billion, one hundred twelve million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 401 802 1604 2005 4010 8020 10025 20050 40100 548880601 1097761202 2195522404 2744403005 5488806010 10977612020 13722015025 27444030050 54888060100 220101121001 440202242002 880404484004 1100505605005 2201011210010 4402022420020 5502528025025 11005056050050 22010112100100