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130329023265 = 32572416123633
BaseRepresentation
bin111100101100000110…
…1110001001100100001
3110110101212001100200200
41321120031301030201
54113403212221030
6135512231135413
712262450263600
oct1713015611441
9413355040620
10130329023265
11502aa377191
1221312b14569
13c3a00c4b5c
146445075a37
1535cbba6d60
hex1e58371321

130329023265 has 144 divisors (see below), whose sum is σ = 273619893456. Its totient is φ = 57170534400.

The previous prime is 130329023257. The next prime is 130329023273. The reversal of 130329023265 is 562320923031.

130329023265 is a `hidden beast` number, since 1 + 3 + 0 + 329 + 0 + 2 + 326 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (130329023257) and next prime (130329023273).

It can be written as a sum of positive squares in 8 ways, for example, as 20947351824 + 109381671441 = 144732^2 + 330729^2 .

It is not a de Polignac number, because 130329023265 - 23 = 130329023257 is a prime.

It is a super-2 number, since 2×1303290232652 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5502889 + ... + 5526521.

It is an arithmetic number, because the mean of its divisors is an integer number (1900138149).

Almost surely, 2130329023265 is an apocalyptic number.

130329023265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130329023265 is an abundant number, since it is smaller than the sum of its proper divisors (143290870191).

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

130329023265 is a wasteful number, since it uses less digits than its factorization.

130329023265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23760 (or 23750 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 130329023265 its reverse (562320923031), we get a palindrome (692649946296).

The spelling of 130329023265 in words is "one hundred thirty billion, three hundred twenty-nine million, twenty-three thousand, two hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 49 61 63 105 123 147 183 205 245 287 305 315 369 427 441 549 615 735 861 915 1281 1435 1845 2009 2135 2205 2501 2583 2745 2989 3843 4305 6027 6405 7503 8967 10045 12505 12915 14945 17507 18081 19215 22509 23633 26901 30135 37515 44835 52521 70899 87535 90405 112545 118165 122549 134505 157563 165431 212697 262605 354495 367647 496293 612745 787815 827155 968953 1063485 1102941 1158017 1441613 1488879 1838235 2481465 2906859 3474051 4324839 4844765 5514705 5790085 6782671 7208065 7444395 8720577 10091291 10422153 12974517 14534295 17370255 20348013 21624195 30273873 33913355 43602885 47478697 50456455 52110765 59106133 61044039 64872585 70639037 90821619 101740065 142436091 151369365 177318399 211917111 237393485 295530665 305220195 353195185 413742931 427308273 454108095 531955197 635751333 712180455 886591995 1059585555 1241228793 2068714655 2136541365 2659775985 2896200517 3178756665 3723686379 6206143965 8688601551 14481002585 18618431895 26065804653 43443007755 130329023265