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42117311020 = 22519110835029
BaseRepresentation
bin100111001110011000…
…110010101000101100
311000201020011002012011
4213032120302220230
51142224012423040
631203132051004
73020464144141
oct471630625054
9130636132164
1042117311020
1116953140164
1281b5003a64
133c82921915
1420778823c8
15116781d3ea
hex9ce632a2c

42117311020 has 24 divisors (see below), whose sum is σ = 93101425200. Its totient is φ = 15960244032.

The previous prime is 42117311009. The next prime is 42117311023. The reversal of 42117311020 is 2011371124.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42117310982 and 42117311000.

It is not an unprimeable number, because it can be changed into a prime (42117311023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55417135 + ... + 55417894.

It is an arithmetic number, because the mean of its divisors is an integer number (3879226050).

Almost surely, 242117311020 is an apocalyptic number.

It is an amenable number.

42117311020 is an abundant number, since it is smaller than the sum of its proper divisors (50984114180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42117311020 is a wasteful number, since it uses less digits than its factorization.

42117311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110835057 (or 110835055 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 42117311020 its reverse (2011371124), we get a palindrome (44128682144).

The spelling of 42117311020 in words is "forty-two billion, one hundred seventeen million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 110835029 221670058 443340116 554175145 1108350290 2105865551 2216700580 4211731102 8423462204 10529327755 21058655510 42117311020