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42033103220 = 22521115596389
BaseRepresentation
bin100111001001010111…
…100100000101110100
311000111100200212210202
4213021113210011310
51142040433300340
631150523140032
73015422324303
oct471127440564
9130440625722
1042033103220
111690a655639
128190974618
133c6b34a214
14206a60243a
151160237c15
hex9c95e4174

42033103220 has 48 divisors (see below), whose sum is σ = 88758633600. Its totient is φ = 16720206720.

The previous prime is 42033103219. The next prime is 42033103223. The reversal of 42033103220 is 2230133024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42033103192 and 42033103201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033103223) 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 15 ways as a sum of consecutive naturals, for example, 6575786 + ... + 6582174.

It is an arithmetic number, because the mean of its divisors is an integer number (1849138200).

Almost surely, 242033103220 is an apocalyptic number.

It is an amenable number.

42033103220 is an abundant number, since it is smaller than the sum of its proper divisors (46725530380).

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

42033103220 is a wasteful number, since it uses less digits than its factorization.

42033103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 42033103220 its reverse (2230133024), we get a palindrome (44263236244).

The spelling of 42033103220 in words is "forty-two billion, thirty-three million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 211 422 844 1055 1559 2110 3118 4220 6236 6389 7795 12778 15590 25556 31180 31945 63890 127780 328949 657898 1315796 1348079 1644745 2696158 3289490 5392316 6578980 6740395 9960451 13480790 19920902 26961580 39841804 49802255 99604510 199209020 2101655161 4203310322 8406620644 10508275805 21016551610 42033103220