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130221520 = 245111311383
BaseRepresentation
bin1111100001100…
…00010111010000
3100002000221100021
413300300113100
5231314042040
620531033224
73140602402
oct760602720
9302027307
10130221520
11675633a0
123773b814
1320c95570
141341ab72
15b67424a
hex7c305d0

130221520 has 80 divisors (see below), whose sum is σ = 355727232. Its totient is φ = 43706880.

The previous prime is 130221517. The next prime is 130221521. The reversal of 130221520 is 25122031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1302215202 = 33915288542220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130221494 and 130221503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130221521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5749 + ... + 17131.

Almost surely, 2130221520 is an apocalyptic number.

130221520 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 130221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177863616).

130221520 is an abundant number, since it is smaller than the sum of its proper divisors (225505712).

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

130221520 is a wasteful number, since it uses less digits than its factorization.

130221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11420 (or 11414 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 130221520 is about 11411.4644108458. The cubic root of 130221520 is about 506.8672759005.

Adding to 130221520 its reverse (25122031), we get a palindrome (155343551).

It can be divided in two parts, 1302 and 21520, that added together give a palindrome (22822).

The spelling of 130221520 in words is "one hundred thirty million, two hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11383 11440 22766 45532 56915 91064 113830 125213 147979 182128 227660 250426 295958 455320 500852 591916 626065 739895 910640 1001704 1183832 1252130 1479790 1627769 2003408 2367664 2504260 2959580 3255538 5008520 5919160 6511076 8138845 10017040 11838320 13022152 16277690 26044304 32555380 65110760 130221520