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130535023520 = 25511117163337
BaseRepresentation
bin111100110010001111…
…1100110001110100000
3110110221012200020220202
41321210133212032200
54114313431223040
6135544510324332
712300531251456
oct1714437461640
9413835606822
10130535023520
11503a5688230
122136bab96a8
13c4039a02b5
14646457a9d6
1535dece9015
hex1e647e63a0

130535023520 has 96 divisors (see below), whose sum is σ = 336716968896. Its totient is φ = 47425996800.

The previous prime is 130535023499. The next prime is 130535023523. The reversal of 130535023520 is 25320535031.

It is not an unprimeable number, because it can be changed into a prime (130535023523) 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 15 ways as a sum of consecutive naturals, for example, 2029292 + ... + 2092628.

It is an arithmetic number, because the mean of its divisors is an integer number (3507468426).

Almost surely, 2130535023520 is an apocalyptic number.

130535023520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130535023520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168358484448).

130535023520 is an abundant number, since it is smaller than the sum of its proper divisors (206181945376).

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

130535023520 is a wasteful number, since it uses less digits than its factorization.

130535023520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64534 (or 64526 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

Adding to 130535023520 its reverse (25320535031), we get a palindrome (155855558551).

The spelling of 130535023520 in words is "one hundred thirty billion, five hundred thirty-five million, twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1171 1760 2342 4684 5855 9368 11710 12881 18736 23420 25762 37472 46840 51524 63337 64405 93680 103048 126674 128810 187360 206096 253348 257620 316685 412192 506696 515240 633370 696707 1013392 1030480 1266740 1393414 2026784 2060960 2533480 2786828 3483535 5066960 5573656 6967070 10133920 11147312 13934140 22294624 27868280 55736560 74167627 111473120 148335254 296670508 370838135 593341016 741676270 815843897 1186682032 1483352540 1631687794 2373364064 2966705080 3263375588 4079219485 5933410160 6526751176 8158438970 11866820320 13053502352 16316877940 26107004704 32633755880 65267511760 130535023520