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130021320 = 233511137577
BaseRepresentation
bin1111011111111…
…11011111001000
3100001122202201110
413233333133020
5231241140240
620522450320
73136106622
oct757773710
9301582643
10130021320
1167436a40
12376639a0
1320c253c0
14133a7c12
15b634c80
hex7bff7c8

130021320 has 128 divisors (see below), whose sum is σ = 458317440. Its totient is φ = 29091840.

The previous prime is 130021301. The next prime is 130021337. The reversal of 130021320 is 23120031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130021296 and 130021305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13372 + ... + 20948.

It is an arithmetic number, because the mean of its divisors is an integer number (3580605).

Almost surely, 2130021320 is an apocalyptic number.

130021320 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 130021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229158720).

130021320 is an abundant number, since it is smaller than the sum of its proper divisors (328296120).

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

130021320 is a wasteful number, since it uses less digits than its factorization.

130021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7615 (or 7611 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130021320 is about 11402.6891565104. The cubic root of 130021320 is about 506.6073934200.

Adding to 130021320 its reverse (23120031), we get a palindrome (153141351).

The spelling of 130021320 in words is "one hundred thirty million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 7577 8580 15154 17160 22731 30308 37885 45462 60616 75770 83347 90924 98501 113655 151540 166694 181848 197002 227310 250041 295503 303080 333388 394004 416735 454620 492505 500082 591006 666776 788008 833470 909240 985010 1000164 1083511 1182012 1250205 1477515 1666940 1970020 2000328 2167022 2364024 2500410 2955030 3250533 3333880 3940040 4334044 5000820 5417555 5910060 6501066 8668088 10001640 10835110 11820120 13002132 16252665 21670220 26004264 32505330 43340440 65010660 130021320