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130100320 = 2557176833
BaseRepresentation
bin1111100000100…
…10110001100000
3100001210210002101
413300102301200
5231301202240
620524300144
73136556140
oct760226140
9301723071
10130100320
1167490329
12376a1654
1320c5234c
14133c8920
15b64d39a
hex7c12c60

130100320 has 96 divisors (see below), whose sum is σ = 371988288. Its totient is φ = 41975808.

The previous prime is 130100263. The next prime is 130100323. The reversal of 130100320 is 23001031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 130100297 and 130100306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130100323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15624 + ... + 22456.

It is an arithmetic number, because the mean of its divisors is an integer number (3874878).

Almost surely, 2130100320 is an apocalyptic number.

130100320 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 130100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185994144).

130100320 is an abundant number, since it is smaller than the sum of its proper divisors (241887968).

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

130100320 is a wasteful number, since it uses less digits than its factorization.

130100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 130100320 is about 11406.1527256126. The cubic root of 130100320 is about 506.7099762917.

Adding to 130100320 its reverse (23001031), we get a palindrome (153101351).

The spelling of 130100320 in words is "one hundred thirty million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 6833 9520 13666 19040 27332 34165 47831 54664 68330 95662 109328 116161 136660 191324 218656 232322 239155 273320 382648 464644 478310 546640 580805 765296 813127 929288 956620 1093280 1161610 1530592 1626254 1858576 1913240 2323220 3252508 3717152 3826480 4065635 4646440 6505016 7652960 8131270 9292880 13010032 16262540 18585760 26020064 32525080 65050160 130100320