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4100430321 = 3213295920483
BaseRepresentation
bin1111010001100111…
…1001100111110001
3101120202200102221200
43310121321213301
531344202232241
61514514241413
7203420040231
oct36431714761
911522612850
104100430321
111814649a99
12965286269
13504686040
142ac817cc1
1518eeb24b6
hexf46799f1

4100430321 has 48 divisors (see below), whose sum is σ = 6710558400. Its totient is φ = 2394919296.

The previous prime is 4100430319. The next prime is 4100430349. The reversal of 4100430321 is 1230340014.

It is not a de Polignac number, because 4100430321 - 21 = 4100430319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4100430294 and 4100430303.

It is not an unprimeable number, because it can be changed into a prime (4100430121) 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, 189946 + ... + 210428.

It is an arithmetic number, because the mean of its divisors is an integer number (139803300).

Almost surely, 24100430321 is an apocalyptic number.

It is an amenable number.

4100430321 is a deficient number, since it is larger than the sum of its proper divisors (2610128079).

4100430321 is a wasteful number, since it uses less digits than its factorization.

4100430321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20590 (or 20587 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4100430321 is about 64034.6025286329. The cubic root of 4100430321 is about 1600.5766568554.

Adding to 4100430321 its reverse (1230340014), we get a palindrome (5330770335).

The spelling of 4100430321 in words is "four billion, one hundred million, four hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 9 13 29 39 59 87 117 177 261 377 531 767 1131 1711 2301 3393 5133 6903 15399 20483 22243 61449 66729 184347 200187 266279 594007 798837 1208497 1782021 2396511 3625491 5346063 7722091 10876473 15710461 23166273 35046413 47131383 69498819 105139239 141394149 315417717 455603369 1366810107 4100430321