Search a number
-
+
130440304012221 = 3371970233502943
BaseRepresentation
bin11101101010001001111111…
…111111000010101110111101
3122002211222020001200121122000
4131222021333333002232331
5114044113220311342341
61141231240505012513
736322000222103340
oct3552117777025675
9562758201617560
10130440304012221
1138620471052535
1212768255a84139
1357a2610c49b68
14242d4b7068457
1510130b94cb8b6
hex76a27ffc2bbd

130440304012221 has 32 divisors (see below), whose sum is σ = 220852492369920. Its totient is φ = 74536916982192.

The previous prime is 130440304012217. The next prime is 130440304012259. The reversal of 130440304012221 is 122210403044031.

130440304012221 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 0 + 30 + 401 + 2 + 221 = 666.

It is not a de Polignac number, because 130440304012221 - 22 = 130440304012217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130440304012201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35485876 + ... + 38988818.

It is an arithmetic number, because the mean of its divisors is an integer number (6901640386560).

Almost surely, 2130440304012221 is an apocalyptic number.

It is an amenable number.

130440304012221 is a deficient number, since it is larger than the sum of its proper divisors (90412188357699).

130440304012221 is a wasteful number, since it uses less digits than its factorization.

130440304012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699982 (or 3699976 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 130440304012221 its reverse (122210403044031), we get a palindrome (252650707056252).

The spelling of 130440304012221 in words is "one hundred thirty trillion, four hundred forty billion, three hundred four million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 197023 591069 1379161 1773207 3502943 4137483 5319621 10508829 12412449 24520601 31526487 37237347 73561803 94579461 220685409 662056227 690160338689 2070481016067 4831122370823 6211443048201 14493367112469 18634329144603 43480101337407 130440304012221