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1321223220224 = 2103134122227
BaseRepresentation
bin10011001110011111000…
…010100110110000000000
311200022022022120202011122
4103032133002212300000
5133121331121021344
62450543410531412
7164312100034115
oct23163702466000
94608268522148
101321223220224
1146a367077716
1219408ab96b68
139778b03660b
1447d3a0c690c
152457c266aee
hex1339f0a6c00

1321223220224 has 44 divisors (see below), whose sum is σ = 2649595024824. Its totient is φ = 658500870144.

The previous prime is 1321223220211. The next prime is 1321223220299. The reversal of 1321223220224 is 4220223221231.

It is a super-2 number, since 2×13212232202242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1321223220193 and 1321223220202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1740602 + ... + 2381625.

It is an arithmetic number, because the mean of its divisors is an integer number (60218068746).

Almost surely, 21321223220224 is an apocalyptic number.

It is an amenable number.

1321223220224 is an abundant number, since it is smaller than the sum of its proper divisors (1328371804600).

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

1321223220224 is an equidigital number, since it uses as much as digits as its factorization.

1321223220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122560 (or 4122542 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1321223220224 its reverse (4220223221231), we get a palindrome (5541446441455).

The spelling of 1321223220224 in words is "one trillion, three hundred twenty-one billion, two hundred twenty-three million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 313 512 626 1024 1252 2504 5008 10016 20032 40064 80128 160256 320512 4122227 8244454 16488908 32977816 65955632 131911264 263822528 527645056 1055290112 1290257051 2110580224 2580514102 4221160448 5161028204 10322056408 20644112816 41288225632 82576451264 165152902528 330305805056 660611610112 1321223220224