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1344211123101 = 3711154917532143
BaseRepresentation
bin10011100011111001001…
…110011111101110011101
311202111122101101012121220
4103203321032133232131
5134010421021414401
62505304433243553
7166054543011120
oct23437116375635
94674571335556
101344211123101
11479093154360
121986257035b9
13999b274b502
14490bb1463b7
1524e75487336
hex138f939fb9d

1344211123101 has 64 divisors (see below), whose sum is σ = 2238294835200. Its totient is φ = 697117155840.

The previous prime is 1344211123063. The next prime is 1344211123127. The reversal of 1344211123101 is 1013211124431.

It is not a de Polignac number, because 1344211123101 - 222 = 1344206928797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344211123901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627255636 + ... + 627257778.

It is an arithmetic number, because the mean of its divisors is an integer number (34973356800).

Almost surely, 21344211123101 is an apocalyptic number.

1344211123101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1344211123101 is a deficient number, since it is larger than the sum of its proper divisors (894083712099).

1344211123101 is a wasteful number, since it uses less digits than its factorization.

1344211123101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1344211123101 its reverse (1013211124431), we get a palindrome (2357422247532).

The spelling of 1344211123101 in words is "one trillion, three hundred forty-four billion, two hundred eleven million, one hundred twenty-three thousand, one hundred one".

Divisors: 1 3 7 11 21 33 77 231 1549 1753 2143 4647 5259 6429 10843 12271 15001 17039 19283 23573 32529 36813 45003 51117 57849 70719 119273 134981 165011 357819 404943 495033 2715397 3319507 3756679 8146191 9958521 11270037 19007779 23236549 26296753 29869367 36514577 41323469 57023337 69709647 78890259 89608101 109543731 123970407 209085569 255602039 289264283 627256707 766806117 867792849 5819095771 17457287313 40733670397 64010053481 122201011191 192030160443 448070374367 1344211123101