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10344443005201 = 257571169741539
BaseRepresentation
bin1001011010001000000011…
…0110011100100100010001
31100121220211000111212102011
42112202000312130210101
52323440404402131301
634000101014022521
72115234640521454
oct226420066344421
940556730455364
1010344443005201
113329065440988
1211b09a5047a41
135a0627679036
1427a96094d49b
1512e1391b9a51
hex96880d9c911

10344443005201 has 16 divisors (see below), whose sum is σ = 10409261353920. Its totient is φ = 10279837532160.

The previous prime is 10344443005189. The next prime is 10344443005207. The reversal of 10344443005201 is 10250034444301.

It is a cyclic number.

It is not a de Polignac number, because 10344443005201 - 221 = 10344440908049 is a prime.

It is a super-2 number, since 2×103444430052012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10344443005207) 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 15 ways as a sum of consecutive naturals, for example, 249008890 + ... + 249050428.

It is an arithmetic number, because the mean of its divisors is an integer number (650578834620).

Almost surely, 210344443005201 is an apocalyptic number.

It is an amenable number.

10344443005201 is a deficient number, since it is larger than the sum of its proper divisors (64818348719).

10344443005201 is a wasteful number, since it uses less digits than its factorization.

10344443005201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44064.

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 10344443005201 its reverse (10250034444301), we get a palindrome (20594477449502).

The spelling of 10344443005201 in words is "ten trillion, three hundred forty-four billion, four hundred forty-three million, five thousand, two hundred one".

Divisors: 1 257 571 1697 41539 146747 436129 968987 10675523 23718769 70491683 249029659 6095723633 18116362531 40250750993 10344443005201