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130358833020 = 223251365218543
BaseRepresentation
bin111100101100111111…
…1011110111101111100
3110110110221010211222200
41321121333132331330
54113433330124040
6135515214111500
712263261540523
oct1713177367574
9413427124880
10130358833020
1150315187749
1221320aab590
13c3a6331370
146448dd54ba
1535ce5e4630
hex1e59fdef7c

130358833020 has 144 divisors (see below), whose sum is σ = 425954011392. Its totient is φ = 32079651840.

The previous prime is 130358833001. The next prime is 130358833039. The reversal of 130358833020 is 20338853031.

It is an interprime number because it is at equal distance from previous prime (130358833001) and next prime (130358833039).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15254869 + ... + 15263411.

It is an arithmetic number, because the mean of its divisors is an integer number (2958013968).

Almost surely, 2130358833020 is an apocalyptic number.

130358833020 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 130358833020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212977005696).

130358833020 is an abundant number, since it is smaller than the sum of its proper divisors (295595178372).

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

130358833020 is a wasteful number, since it uses less digits than its factorization.

130358833020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15092 (or 15087 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 130358833020 in words is "one hundred thirty billion, three hundred fifty-eight million, eight hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 6521 8543 13042 17086 19563 25629 26084 32605 34172 39126 42715 51258 58689 65210 76887 78252 84773 85430 97815 102516 111059 117378 128145 130420 153774 169546 170860 195630 222118 234756 254319 256290 293445 307548 333177 339092 384435 391260 423865 444236 508638 512580 555295 586890 666354 762957 768870 847730 999531 1017276 1110590 1173780 1271595 1332708 1525914 1537740 1665885 1695460 1999062 2221180 2543190 3051828 3331770 3814785 3998124 4997655 5086380 6663540 7629570 9995310 15259140 19990620 55708903 111417806 167126709 222835612 278544515 334253418 501380127 557089030 668506836 724215739 835633545 1002760254 1114178060 1448431478 1671267090 2005520508 2172647217 2506900635 2896862956 3342534180 3621078695 4345294434 5013801270 6517941651 7242157390 8690588868 10027602540 10863236085 13035883302 14484314780 21726472170 26071766604 32589708255 43452944340 65179416510 130358833020