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10021040422041 = 3116128317590679
BaseRepresentation
bin1001000111010011010010…
…0011011111110010011001
31022111000001112111102210210
42101310310203133302121
52303141042322001131
633151334042201333
72052665503105515
oct221646443376231
938430045442723
1010021040422041
113213999085570
12115a18a1b3249
13578c98253cac
14269041685145
15125a0c1c7146
hex91d348dfc99

10021040422041 has 32 divisors (see below), whose sum is σ = 14867361285120. Its totient is φ = 5952685435200.

The previous prime is 10021040422037. The next prime is 10021040422067. The reversal of 10021040422041 is 14022404012001.

It is not a de Polignac number, because 10021040422041 - 22 = 10021040422037 is a prime.

It is a super-2 number, since 2×100210404220412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10021040421999 and 10021040422017.

It is not an unprimeable number, because it can be changed into a prime (10021040429041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8225661 + ... + 9365018.

It is an arithmetic number, because the mean of its divisors is an integer number (464605040160).

Almost surely, 210021040422041 is an apocalyptic number.

10021040422041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021040422041 is a deficient number, since it is larger than the sum of its proper divisors (4846320863079).

10021040422041 is a wasteful number, since it uses less digits than its factorization.

10021040422041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17591037.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10021040422041 its reverse (14022404012001), we get a palindrome (24043444434042).

The spelling of 10021040422041 in words is "ten trillion, twenty-one billion, forty million, four hundred twenty-two thousand, forty-one".

Divisors: 1 3 11 33 61 183 283 671 849 2013 3113 9339 17263 51789 189893 569679 17590679 52772037 193497469 580492407 1073031419 3219094257 4978162157 11803345609 14934486471 35410036827 54759783727 164279351181 303667891577 911003674731 3340346807347 10021040422041