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130021302120 = 233515725572699
BaseRepresentation
bin111100100010111011…
…1111001111101101000
3110102121102000111122020
41321011313321331220
54112240423131440
6135421515424440
712252022555443
oct1710567717550
9412542014566
10130021302120
11501616a9796
1221247a55120
13c351422838
14641625265a
1535aeb703d0
hex1e45df9f68

130021302120 has 128 divisors (see below), whose sum is σ = 392847408000. Its totient is φ = 34425271296.

The previous prime is 130021302119. The next prime is 130021302137. The reversal of 130021302120 is 21203120031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130021302120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48172531 + ... + 48175229.

It is an arithmetic number, because the mean of its divisors is an integer number (3069120375).

Almost surely, 2130021302120 is an apocalyptic number.

130021302120 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 130021302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196423704000).

130021302120 is an abundant number, since it is smaller than the sum of its proper divisors (262826105880).

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

130021302120 is a wasteful number, since it uses less digits than its factorization.

130021302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130021302120 its reverse (21203120031), we get a palindrome (151224422151).

The spelling of 130021302120 in words is "one hundred thirty billion, twenty-one million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 2557 2699 3140 3768 4710 5114 5398 6280 7671 8097 9420 10228 10796 12785 13495 15342 16194 18840 20456 21592 25570 26990 30684 32388 38355 40485 51140 53980 61368 64776 76710 80970 102280 107960 153420 161940 306840 323880 401449 423743 802898 847486 1204347 1271229 1605796 1694972 2007245 2118715 2408694 2542458 3211592 3389944 4014490 4237430 4817388 5084916 6021735 6356145 6901343 8028980 8474860 9634776 10169832 12043470 12712290 13802686 16057960 16949720 20704029 24086940 25424580 27605372 34506715 41408058 48173880 50849160 55210744 69013430 82816116 103520145 138026860 165632232 207040290 276053720 414080580 828161160 1083510851 2167021702 3250532553 4334043404 5417554255 6501065106 8668086808 10835108510 13002130212 16252662765 21670217020 26004260424 32505325530 43340434040 65010651060 130021302120