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130130302320 = 24325199512449
BaseRepresentation
bin111100100110001011…
…1101101010101110000
3110102220000010021210200
41321030113231111300
54113001324133240
6135440411555200
712254515214334
oct1711427552560
9412800107720
10130130302320
11502081881a7
122127845bb00
13c36ab97ab5
1464269077c4
1535b9501930
hex1e4c5ed570

130130302320 has 120 divisors (see below), whose sum is σ = 460022082000. Its totient is φ = 32875020288.

The previous prime is 130130302193. The next prime is 130130302321. The reversal of 130130302320 is 23203031031.

130130302320 is a `hidden beast` number, since 1 + 30 + 13 + 0 + 302 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 130130302293 and 130130302302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130130302321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4742545 + ... + 4769904.

It is an arithmetic number, because the mean of its divisors is an integer number (3833517350).

Almost surely, 2130130302320 is an apocalyptic number.

130130302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130130302320 is an abundant number, since it is smaller than the sum of its proper divisors (329891779680).

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

130130302320 is a wasteful number, since it uses less digits than its factorization.

130130302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9512487 (or 9512478 counting only the distinct ones).

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

Adding to 130130302320 its reverse (23203031031), we get a palindrome (153333333351).

The spelling of 130130302320 in words is "one hundred thirty billion, one hundred thirty million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 9512449 19024898 28537347 38049796 47562245 57074694 76099592 85612041 95124490 114149388 142686735 152199184 171224082 180736531 190248980 228298776 285373470 342448164 361473062 380497960 428060205 456597552 542209593 570746940 684896328 722946124 760995920 856120410 903682655 1084419186 1141493880 1369792656 1445892248 1626628779 1712240820 1807365310 2168838372 2282987760 2711047965 2891784496 3253257558 3424481640 3614730620 4337676744 5422095930 6506515116 6848963280 7229461240 8133143895 8675353488 10844191860 13013030232 14458922480 16266287790 21688383720 26026060464 32532575580 43376767440 65065151160 130130302320