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30042120433 = 1353216120177
BaseRepresentation
bin11011111110101001…
…100110000011110001
32212112200112211202011
4123332221212003301
5443011240323213
621445014522521
72112320544643
oct337651460361
985480484664
1030042120433
1111816aa2806
1259a5066441
132aaa021b30
14164dc90893
15bac69903d
hex6fea660f1

30042120433 has 16 divisors (see below), whose sum is σ = 32980376016. Its totient is φ = 27194019840.

The previous prime is 30042120413. The next prime is 30042120439. The reversal of 30042120433 is 33402124003.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 207158449 + 29834961984 = 14393^2 + 172728^2 .

It is not a de Polignac number, because 30042120433 - 233 = 21452185841 is a prime.

It is a super-2 number, since 2×300421204332 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30042120439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1478841 + ... + 1499017.

It is an arithmetic number, because the mean of its divisors is an integer number (2061273501).

Almost surely, 230042120433 is an apocalyptic number.

It is an amenable number.

30042120433 is a deficient number, since it is larger than the sum of its proper divisors (2938255583).

30042120433 is a wasteful number, since it uses less digits than its factorization.

30042120433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22404.

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 30042120433 its reverse (33402124003), we get a palindrome (63444244436).

The spelling of 30042120433 in words is "thirty billion, forty-two million, one hundred twenty thousand, four hundred thirty-three".

Divisors: 1 13 53 689 2161 20177 28093 114533 262301 1069381 1488929 13901953 43602497 566832461 2310932341 30042120433