Search a number
-
+
12107206425041 = 72134710110338873
BaseRepresentation
bin1011000000101110110110…
…1111001111100111010001
31120212102211000212202202022
42300023231233033213101
53041331024321100131
641425550203501225
72356500601414400
oct260135557174721
946772730782668
1012107206425041
113948701435782
12143655ab27815
1369a9211cbb50
142dbdc5b71637
1515ee09b4c37b
hexb02edbcf9d1

12107206425041 has 96 divisors (see below), whose sum is σ = 15795627015168. Its totient is φ = 9192326169600.

The previous prime is 12107206425037. The next prime is 12107206425049. The reversal of 12107206425041 is 14052460270121.

It is not a de Polignac number, because 12107206425041 - 22 = 12107206425037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12107206424992 and 12107206425010.

It is not an unprimeable number, because it can be changed into a prime (12107206425049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311435981 + ... + 311474853.

It is an arithmetic number, because the mean of its divisors is an integer number (164537781408).

Almost surely, 212107206425041 is an apocalyptic number.

It is an amenable number.

12107206425041 is a deficient number, since it is larger than the sum of its proper divisors (3688420590127).

12107206425041 is a wasteful number, since it uses less digits than its factorization.

12107206425041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39151 (or 39144 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

Adding to 12107206425041 its reverse (14052460270121), we get a palindrome (26159666695162).

The spelling of 12107206425041 in words is "twelve trillion, one hundred seven billion, two hundred six million, four hundred twenty-five thousand, forty-one".

Divisors: 1 7 13 47 49 91 101 103 329 611 637 707 721 1313 1339 2303 4277 4747 4841 4949 5047 9191 9373 10403 29939 33229 33887 38873 61711 62933 64337 65611 72821 135239 232603 237209 272111 431977 440531 488941 505349 509747 946673 1827031 1904777 3023839 3083717 3422587 3537443 3926173 4003919 6356233 6626711 12789217 23751403 23958109 24762101 27483211 28027433 44493631 51040249 52050947 89524519 166259821 184530131 188184193 192382477 196192031 311455417 357281743 364356629 404395819 1163818747 1291710917 1317289351 2398891703 2446394509 2500972201 2550496403 2830770733 5257145647 9041976419 9221025457 16792241921 17124761563 19006603493 19815395131 36800019529 117545693447 119873330941 133046224451 247085845409 257600136703 931323571157 1729600917863 12107206425041