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120131301123 = 34101131197569
BaseRepresentation
bin110111111100001100…
…0100010111100000011
3102111002011020101210000
41233320120202330003
53432012103113443
6131104302411043
711451652132341
oct1577030427403
9374064211700
10120131301123
1146a46a95649
121b347890a83
13b43646a142
145b58964991
1531d178e8d3
hex1bf8622f03

120131301123 has 80 divisors (see below), whose sum is σ = 183865191840. Its totient is φ = 78152256000.

The previous prime is 120131301113. The next prime is 120131301131. The reversal of 120131301123 is 321103131021.

It is not a de Polignac number, because 120131301123 - 232 = 115836333827 is a prime.

It is a super-2 number, since 2×1201313011232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120131301096 and 120131301105.

It is not an unprimeable number, because it can be changed into a prime (120131301113) 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 79 ways as a sum of consecutive naturals, for example, 211126783 + ... + 211127351.

It is an arithmetic number, because the mean of its divisors is an integer number (2298314898).

Almost surely, 2120131301123 is an apocalyptic number.

120131301123 is a deficient number, since it is larger than the sum of its proper divisors (63733890717).

120131301123 is a wasteful number, since it uses less digits than its factorization.

120131301123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120131301123 its reverse (321103131021), we get a palindrome (441234432144).

The spelling of 120131301123 in words is "one hundred twenty billion, one hundred thirty-one million, three hundred one thousand, one hundred twenty-three".

Divisors: 1 3 9 27 81 101 131 197 303 393 569 591 909 1179 1707 1773 2727 3537 5121 5319 8181 10611 13231 15363 15957 19897 25807 39693 46089 57469 59691 74539 77421 112093 119079 172407 179073 223617 232263 336279 357237 517221 537219 670851 696789 1008837 1071711 1551663 1611657 2012553 2090367 2606507 3026511 4654989 6037659 7528439 7819521 9079533 11321393 14684183 22585317 23458563 33964179 44052549 67755951 70375689 101892537 132157647 203267853 211127067 305677611 396472941 609803559 917032833 1189418823 1483102483 4449307449 13347922347 40043767041 120131301123