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130316510460510 = 232511131632838849
BaseRepresentation
bin11101101000010110101101…
…010100000111101001011110
3122002102010200200021121111100
4131220112231110013221132
5114040101203134214020
61141054324535333530
736310025420216403
oct3550265524075136
9562363620247440
10130316510460510
1138582a158a0910
12127482678212a6
135793a42b4544a
1424274d1d8c2aa
15100ec71480a90
hex7685ad507a5e

130316510460510 has 48 divisors (see below), whose sum is σ = 369625011490800. Its totient is φ = 31591881323520.

The previous prime is 130316510460509. The next prime is 130316510460511. The reversal of 130316510460510 is 15064015613031.

130316510460510 is a `hidden beast` number, since 1 + 3 + 0 + 31 + 6 + 5 + 1 + 0 + 4 + 605 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (130316510460509) and next prime (130316510460511).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130316510460511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65816418435 + ... + 65816420414.

It is an arithmetic number, because the mean of its divisors is an integer number (7700521072725).

Almost surely, 2130316510460510 is an apocalyptic number.

130316510460510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130316510460510 is an abundant number, since it is smaller than the sum of its proper divisors (239308501030290).

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

130316510460510 is a wasteful number, since it uses less digits than its factorization.

130316510460510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131632838873 (or 131632838870 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

It can be divided in two parts, 1303165 and 10460510, that added together give a triangular number (11763675 = T4850).

The spelling of 130316510460510 in words is "one hundred thirty trillion, three hundred sixteen billion, five hundred ten million, four hundred sixty thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 131632838849 263265677698 394898516547 658164194245 789797033094 1184695549641 1316328388490 1447961227339 1974492582735 2369391099282 2895922454678 3948985165470 4343883682017 5923477748205 7239806136695 8687767364034 11846955496410 13031651046051 14479612273390 21719418410085 26063302092102 43438836820170 65158255230255 130316510460510