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13223222413300 = 2252215361417661
BaseRepresentation
bin1100000001101100010101…
…1110011000011111110100
31201211010110002212001001101
43000123011132120133310
53213122124414211200
644042355311335444
72533226530662304
oct300330536303764
951733402761041
1013223222413300
114238a343617a9
1215968ba521584
1374bc3816a743
1433a01636d604
1517de7670126a
hexc06c57987f4

13223222413300 has 36 divisors (see below), whose sum is σ = 28707720736716. Its totient is φ = 5286832172800.

The previous prime is 13223222413249. The next prime is 13223222413301. The reversal of 13223222413300 is 331422232231.

13223222413300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 68412587364 + 13154809825936 = 261558^2 + 3626956^2 .

It is a super-2 number, since 2×132232224133002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223222413301) 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, 30493531 + ... + 30924130.

It is an arithmetic number, because the mean of its divisors is an integer number (797436687131).

Almost surely, 213223222413300 is an apocalyptic number.

13223222413300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13223222413300 is an abundant number, since it is smaller than the sum of its proper divisors (15484498323416).

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

13223222413300 is a wasteful number, since it uses less digits than its factorization.

13223222413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61419828 (or 61419821 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13223222413300 its reverse (331422232231), we get a palindrome (13554644645531).

The spelling of 13223222413300 in words is "thirteen trillion, two hundred twenty-three billion, two hundred twenty-two million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2153 4306 8612 10765 21530 43060 53825 107650 215300 61417661 122835322 245670644 307088305 614176610 1228353220 1535441525 3070883050 6141766100 132232224133 264464448266 528928896532 661161120665 1322322241330 2644644482660 3305805603325 6611611206650 13223222413300