Search a number
-
+
1301510011005 = 3251949915232003
BaseRepresentation
bin10010111100001000000…
…010101011100001111101
311121102102110200221220200
4102330020002223201331
5132310443030323010
62433523324234113
7163013426363001
oct22741002534175
94542373627820
101301510011005
11461a7051a876
121902a909b939
1395968bb3289
1446dc9d36701
1523cc679acc0
hex12f080ab87d

1301510011005 has 96 divisors (see below), whose sum is σ = 2382194880000. Its totient is φ = 655528857984.

The previous prime is 1301510010973. The next prime is 1301510011019. The reversal of 1301510011005 is 5001100151031.

It is not a de Polignac number, because 1301510011005 - 25 = 1301510010973 is a prime.

It is a super-2 number, since 2×13015100110052 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 649779334 + ... + 649781336.

It is an arithmetic number, because the mean of its divisors is an integer number (24814530000).

Almost surely, 21301510011005 is an apocalyptic number.

1301510011005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1301510011005 is a deficient number, since it is larger than the sum of its proper divisors (1080684868995).

1301510011005 is a wasteful number, since it uses less digits than its factorization.

1301510011005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 18.

Adding to 1301510011005 its reverse (5001100151031), we get a palindrome (6302610162036).

The spelling of 1301510011005 in words is "one trillion, three hundred one billion, five hundred ten million, eleven thousand, five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 499 855 1497 1523 2003 2495 4491 4569 6009 7485 7615 9481 10015 13707 18027 22455 22845 28443 28937 30045 38057 47405 68535 85329 86811 90135 114171 142215 144685 190285 260433 342513 426645 434055 570855 759977 999497 1302165 1712565 2279931 2998491 3050569 3799885 4997485 6839793 8995473 9151707 11399655 14439563 14992455 15252845 18990443 27455121 34198965 43318689 44977365 45758535 56971329 57960811 72197815 94952215 129956067 137275605 170913987 173882433 216593445 284856645 289804055 521647299 649780335 854569935 869412165 1522233931 2608236495 4566701793 7611169655 13700105379 22833508965 28922444689 68500526895 86767334067 144612223445 260302002201 433836670335 1301510011005