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1430104334241 = 311371217962413
BaseRepresentation
bin10100110011111000110…
…111000101111110100001
312001201100102121102112010
4110303320313011332201
5141412323202143431
63012551511023133
7205215214162242
oct24637067057641
95051312542463
101430104334241
1150155a683170
121b11b706aaa9
13a4b2079c4bb
144d308852cc9
1527300ee7846
hex14cf8dc5fa1

1430104334241 has 32 divisors (see below), whose sum is σ = 2138129739648. Its totient is φ = 842610954240.

The previous prime is 1430104334227. The next prime is 1430104334251. The reversal of 1430104334241 is 1424334010341.

It is a de Polignac number, because none of the positive numbers 2k-1430104334241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1430104334199 and 1430104334208.

It is not an unprimeable number, because it can be changed into a prime (1430104334251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004751 + ... + 1967163.

It is an arithmetic number, because the mean of its divisors is an integer number (66816554364).

Almost surely, 21430104334241 is an apocalyptic number.

1430104334241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1430104334241 is a deficient number, since it is larger than the sum of its proper divisors (708025405407).

1430104334241 is a wasteful number, since it uses less digits than its factorization.

1430104334241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963681.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1430104334241 its reverse (1424334010341), we get a palindrome (2854438344582).

The spelling of 1430104334241 in words is "one trillion, four hundred thirty billion, one hundred four million, three hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 3 11 33 37 111 407 1217 1221 3651 13387 40161 45029 135087 495319 962413 1485957 2887239 10586543 31759629 35609281 106827843 391702091 1171256621 1175106273 3513769863 12883822831 38651468493 43336494977 130009484931 476701444747 1430104334241