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22324130103104 = 2617109188243137
BaseRepresentation
bin1010001001101101111011…
…10110000011111101000000
32221001011111000021121222022
411010312331312003331000
510411224304301244404
6115251321440101012
74462602516653204
oct504667566037500
987034430247868
1022324130103104
1171276794aa795
122606696004768
13c5c2058c670b
145726ca874b04
1528aa7db628be
hex144dbdd83f40

22324130103104 has 56 divisors (see below), whose sum is σ = 47335619481480. Its totient is φ = 10409092448256.

The previous prime is 22324130103101. The next prime is 22324130103157. The reversal of 22324130103104 is 40130103142322.

It can be written as a sum of positive squares in 4 ways, for example, as 4346190901504 + 17977939201600 = 2084752^2 + 4240040^2 .

It is a super-3 number, since 3×223241301031043 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22324130103101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94002977 + ... + 94240160.

Almost surely, 222324130103104 is an apocalyptic number.

It is an amenable number.

22324130103104 is an abundant number, since it is smaller than the sum of its proper divisors (25011489378376).

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

22324130103104 is a wasteful number, since it uses less digits than its factorization.

22324130103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188243275 (or 188243265 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 22324130103104 its reverse (40130103142322), we get a palindrome (62454233245426).

The spelling of 22324130103104 in words is "twenty-two trillion, three hundred twenty-four billion, one hundred thirty million, one hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 109 136 218 272 436 544 872 1088 1744 1853 3488 3706 6976 7412 14824 29648 59296 118592 188243137 376486274 752972548 1505945096 3011890192 3200133329 6023780384 6400266658 12047560768 12800533316 20518501933 25601066632 41037003866 51202133264 82074007732 102404266528 164148015464 204808533056 328296030928 348814532861 656592061856 697629065722 1313184123712 1395258131444 2790516262888 5581032525776 11162065051552 22324130103104