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10001334202041 = 37131311392011913
BaseRepresentation
bin1001000110001001110111…
…1110001110111010111001
31022102010012011202201221210
42101202131332032322321
52302330213023431131
633134314405353333
72051400246024210
oct221423576167271
938363164681853
1010001334202041
1132065a6471836
1211563aa708849
135771776a9ca0
142680d23d4077
1512525713c146
hex9189df8eeb9

10001334202041 has 64 divisors (see below), whose sum is σ = 16656716482560. Its totient is φ = 5197492984320.

The previous prime is 10001334202037. The next prime is 10001334202049. The reversal of 10001334202041 is 14020243310001.

It is not a de Polignac number, because 10001334202041 - 22 = 10001334202037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10001334201999 and 10001334202017.

It is not an unprimeable number, because it can be changed into a prime (10001334202049) 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, 3965101 + ... + 5977013.

It is an arithmetic number, because the mean of its divisors is an integer number (260261195040).

Almost surely, 210001334202041 is an apocalyptic number.

It is an amenable number.

10001334202041 is a deficient number, since it is larger than the sum of its proper divisors (6655382280519).

10001334202041 is a wasteful number, since it uses less digits than its factorization.

10001334202041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012206.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10001334202041 its reverse (14020243310001), we get a palindrome (24021577512042).

The spelling of 10001334202041 in words is "ten trillion, one billion, three hundred thirty-four million, two hundred two thousand, forty-one".

Divisors: 1 3 7 13 21 39 91 131 139 273 393 417 917 973 1703 1807 2751 2919 5109 5421 11921 12649 18209 35763 37947 54627 127463 236717 382389 710151 1657019 2011913 4971057 6035739 14083391 26154869 42250173 78464607 183084083 263560603 279655907 549252249 790681809 838967721 1844924221 1957591349 3426287839 3635526791 5534772663 5872774047 10278863517 10906580373 23984014873 25448687537 36634923817 71952044619 76346062611 109904771451 256444466719 476254009621 769333400157 1428762028863 3333778067347 10001334202041