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10434010323101 = 419722157118409
BaseRepresentation
bin1001011111010101101101…
…1110101001100010011101
31100221111000010020001021112
42113311123132221202131
52331422323120314401
634105152420311405
72124555334254251
oct227653336514235
940844003201245
1010434010323101
1133630478a4562
121206220b42565
135a8bcc955cb1
1428101a1ba261
1513162c5793bb
hex97d5b7a989d

10434010323101 has 16 divisors (see below), whose sum is σ = 10799267658480. Its totient is φ = 10074038968320.

The previous prime is 10434010323097. The next prime is 10434010323103. The reversal of 10434010323101 is 10132301043401.

It can be written as a sum of positive squares in 8 ways, for example, as 167689431001 + 10266320892100 = 409499^2 + 3204110^2 .

It is not a de Polignac number, because 10434010323101 - 22 = 10434010323097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434010323103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88059185 + ... + 88177593.

It is an arithmetic number, because the mean of its divisors is an integer number (674954228655).

Almost surely, 210434010323101 is an apocalyptic number.

It is an amenable number.

10434010323101 is a deficient number, since it is larger than the sum of its proper divisors (365257335379).

10434010323101 is a wasteful number, since it uses less digits than its factorization.

10434010323101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140704.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10434010323101 its reverse (10132301043401), we get a palindrome (20566311366502).

The spelling of 10434010323101 in words is "ten trillion, four hundred thirty-four billion, ten million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 41 97 3977 22157 118409 908437 2149229 4854769 11485673 88118389 470912593 2623588213 107567116733 254488056661 10434010323101