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42023216221011 = 35613478170031
BaseRepresentation
bin10011000111000010010101…
…11000000000101101010011
312111210101021012012002100000
421203201022320000231103
521002002021323033021
6225213110553301043
711565035321135244
oct1143411270005523
9174711235162300
1042023216221011
1112431a45017373
12486846a104783
131a5aa069345cc
14a53d1245cccb
154cd1c0eb9b26
hex26384ae00b53

42023216221011 has 48 divisors (see below), whose sum is σ = 64164686197248. Its totient is φ = 27476791293600.

The previous prime is 42023216220971. The next prime is 42023216221027. The reversal of 42023216221011 is 11012261232024.

42023216221011 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 3 + 21 + 622 + 1 + 0 + 11 = 666.

It is not a de Polignac number, because 42023216221011 - 27 = 42023216220883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42023216221031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1058566 + ... + 9228596.

It is an arithmetic number, because the mean of its divisors is an integer number (1336764295776).

Almost surely, 242023216221011 is an apocalyptic number.

42023216221011 is a deficient number, since it is larger than the sum of its proper divisors (22141469976237).

42023216221011 is an equidigital number, since it uses as much as digits as its factorization.

42023216221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8170454 (or 8170442 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 42023216221011 its reverse (11012261232024), we get a palindrome (53035477453035).

The spelling of 42023216221011 in words is "forty-two trillion, twenty-three billion, two hundred sixteen million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 9 27 61 81 183 243 347 549 1041 1647 3123 4941 9369 14823 21167 28107 63501 84321 190503 571509 1714527 5143581 8170031 24510093 73530279 220590837 498371891 661772511 1495115673 1985317533 2835000757 4485347019 8505002271 13456041057 25515006813 40368123171 76545020439 121104369513 172935046177 229635061317 518805138531 688905183951 1556415415593 4669246246779 14007738740337 42023216221011