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10054071061441 = 1141233109187697
BaseRepresentation
bin1001001001001110010101…
…0101011000101111000001
31022121011022111110202212121
42102103211111120233001
52304211214142431231
633214435415324241
72055245152650661
oct222234525305701
938534274422777
1010054071061441
1132269a9006860
121164668080681
1357c13046a634
1426a8963d01a1
151267e1de8311
hex924e5558bc1

10054071061441 has 32 divisors (see below), whose sum is σ = 11294284450176. Its totient is φ = 8870625792000.

The previous prime is 10054071061439. The next prime is 10054071061477. The reversal of 10054071061441 is 14416017045001.

It is a cyclic number.

It is not a de Polignac number, because 10054071061441 - 21 = 10054071061439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10054071061397 and 10054071061406.

It is not an unprimeable number, because it can be changed into a prime (10054071361441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114601705 + ... + 114689401.

It is an arithmetic number, because the mean of its divisors is an integer number (352946389068).

Almost surely, 210054071061441 is an apocalyptic number.

10054071061441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10054071061441 is a deficient number, since it is larger than the sum of its proper divisors (1240213388735).

10054071061441 is a wasteful number, since it uses less digits than its factorization.

10054071061441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89073.

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 10054071061441 in words is "ten trillion, fifty-four billion, seventy-one million, sixty-one thousand, four hundred forty-one".

Divisors: 1 11 41 233 451 1091 2563 9553 12001 44731 87697 105083 254203 492041 964667 2796233 3595577 10422323 20433401 39551347 95677427 114645553 224767411 837769441 1052451697 3922774507 9215463851 22292840491 43150519577 245221245401 914006460131 10054071061441