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130421024442 = 232591733791873
BaseRepresentation
bin111100101110110110…
…0101110011010111010
3110110122021011111120200
41321131230232122322
54114100240240232
6135525315103030
712264645262602
oct1713554563272
9413567144520
10130421024442
11503472a5015
12213398a1a76
13c3b6197917
146453383c02
1535d4ccb77c
hex1e5db2e6ba

130421024442 has 96 divisors (see below), whose sum is σ = 289946779200. Its totient is φ = 42355063296.

The previous prime is 130421024431. The next prime is 130421024443. The reversal of 130421024442 is 244420124031.

130421024442 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 210 + 2 + 4 + 442 = 666.

It is a super-2 number, since 2×1304210244422 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130421024443) 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 47 ways as a sum of consecutive naturals, for example, 69631218 + ... + 69633090.

It is an arithmetic number, because the mean of its divisors is an integer number (3020278950).

Almost surely, 2130421024442 is an apocalyptic number.

130421024442 is an abundant number, since it is smaller than the sum of its proper divisors (159525754758).

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

130421024442 is a wasteful number, since it uses less digits than its factorization.

130421024442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 130421024442 its reverse (244420124031), we get a palindrome (374841148473).

It can be divided in two parts, 13042102 and 4442, that added together give a square (13046544 = 36122).

The spelling of 130421024442 in words is "one hundred thirty billion, four hundred twenty-one million, twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 59 118 173 177 346 354 379 519 531 758 1038 1062 1137 1557 1873 2274 3114 3411 3746 5619 6822 10207 11238 16857 20414 22361 30621 33714 44722 61242 65567 67083 91863 110507 131134 134166 183726 196701 201249 221014 324029 331521 393402 402498 590103 648058 663042 709867 972087 994563 1180206 1419734 1944174 1989126 2129601 2916261 3868453 4259202 5832522 6388803 7736906 11605359 12777606 19117711 23210718 34816077 38235422 41882153 57353133 69632154 83764306 114706266 122806991 125646459 172059399 245613982 251292918 344118798 368420973 376939377 736841946 753878754 1105262919 2210525838 7245612469 14491224938 21736837407 43473674814 65210512221 130421024442