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130020103120 = 24517772312379
BaseRepresentation
bin111100100010111001…
…1010101001111010000
3110102121022202120220211
41321011303111033100
54112240121244440
6135421434013504
712252006433015
oct1710563251720
9412538676824
10130020103120
1150160a5a986
1221247577294
13c3510c2b7b
14641601d70c
1535ae9d4eea
hex1e45cd53d0

130020103120 has 80 divisors (see below), whose sum is σ = 320146205760. Its totient is φ = 48938452992.

The previous prime is 130020103079. The next prime is 130020103121. The reversal of 130020103120 is 21301020031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130020103120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130020103121) 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, 10497091 + ... + 10509469.

It is an arithmetic number, because the mean of its divisors is an integer number (4001827572).

Almost surely, 2130020103120 is an apocalyptic number.

130020103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130020103120 is an abundant number, since it is smaller than the sum of its proper divisors (190126102640).

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

130020103120 is a wasteful number, since it uses less digits than its factorization.

130020103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20132 (or 20126 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 130020103120 its reverse (21301020031), we get a palindrome (151321123151).

The spelling of 130020103120 in words is "one hundred thirty billion, twenty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 7723 12379 15446 24758 30892 38615 49516 61784 61895 77230 99032 123568 123790 131291 154460 198064 210443 247580 262582 308920 420886 495160 525164 617840 656455 841772 990320 1050328 1052215 1312910 1683544 2100656 2104430 2625820 3367088 4208860 5251640 8417720 10503280 16835440 95603017 191206034 382412068 478015085 764824136 956030170 1529648272 1625251289 1912060340 3250502578 3824120680 6501005156 7648241360 8126256445 13002010312 16252512890 26004020624 32505025780 65010051560 130020103120