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103631744322 = 23223232992
BaseRepresentation
bin110000010000011101…
…1101110110101000010
3100220111021102001212200
41200200323232311002
53144214211304242
6115335135534030
710326043202241
oct1404073566502
9326437361780
10103631744322
113aa4a466397
121810208a316
139a07055792
145031514958
152a67ebc04c
hex1820eeed42

103631744322 has 54 divisors (see below), whose sum is σ = 234793480467. Its totient is φ = 33031989672.

The previous prime is 103631744309. The next prime is 103631744329. The reversal of 103631744322 is 223447136301.

103631744322 is a `hidden beast` number, since 10 + 3 + 6 + 317 + 4 + 4 + 322 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51815872161 + 51815872161 = 227631^2 + 227631^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=227631.

It is a super-3 number, since 3×1036317443223 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103631744329) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 31411429 + ... + 31414727.

Almost surely, 2103631744322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103631744322

103631744322 is an abundant number, since it is smaller than the sum of its proper divisors (131161736145).

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

103631744322 is an frugal number, since it uses more digits than its factorization.

103631744322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 103631744322 in words is "one hundred three billion, six hundred thirty-one million, seven hundred forty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1587 3174 3299 4761 6598 9522 9897 19794 29691 59382 75877 151754 227631 455262 682893 1365786 1745171 3490342 5235513 10471026 10883401 15706539 21766802 31413078 32650203 65300406 97950609 195901218 250318223 500636446 750954669 1501909338 2252864007 4505728014 5757319129 11514638258 17271957387 34543914774 51815872161 103631744322