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130332120300 = 223252148397649
BaseRepresentation
bin111100101100001100…
…1100101010011101100
3110110102001212201000200
41321120121211103230
54113410010322200
6135512421353500
712262515513054
oct1713031452354
9413361781020
10130332120300
11503010a2018
1221313b68890
13c3a093a715
146445640564
1535cc0b9800
hex1e586654ec

130332120300 has 108 divisors (see below), whose sum is σ = 408798444600. Its totient is φ = 34731440640.

The previous prime is 130332120283. The next prime is 130332120307. The reversal of 130332120300 is 3021233031.

130332120300 is a `hidden beast` number, since 1 + 30 + 332 + 1 + 2 + 0 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130332120307) 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 35 ways as a sum of consecutive naturals, for example, 1285876 + ... + 1383524.

Almost surely, 2130332120300 is an apocalyptic number.

130332120300 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 130332120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204399222300).

130332120300 is an abundant number, since it is smaller than the sum of its proper divisors (278466324300).

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

130332120300 is a wasteful number, since it uses less digits than its factorization.

130332120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99152 (or 99142 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130332120300 its reverse (3021233031), we get a palindrome (133353353331).

The spelling of 130332120300 in words is "one hundred thirty billion, three hundred thirty-two million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1483 2966 4449 5932 7415 8898 13347 14830 17796 22245 26694 29660 37075 44490 53388 66735 74150 88980 97649 111225 133470 148300 195298 222450 266940 292947 333675 390596 444900 488245 585894 667350 878841 976490 1171788 1334700 1464735 1757682 1952980 2441225 2929470 3515364 4394205 4882450 5858940 7323675 8788410 9764900 14647350 17576820 21971025 29294700 43942050 87884100 144813467 289626934 434440401 579253868 724067335 868880802 1303321203 1448134670 1737761604 2172202005 2606642406 2896269340 3620336675 4344404010 5213284812 6516606015 7240673350 8688808020 10861010025 13033212030 14481346700 21722020050 26066424060 32583030075 43444040100 65166060150 130332120300