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130133300220120 = 23354632803835609
BaseRepresentation
bin11101100101101100000101…
…001000100001000011011000
3122001202121210102220002022110
4131211230011020201003120
5114024100444324020440
61140434225100152320
736260551330656021
oct3545540510410330
9561677712802273
10130133300220120
113851224a4515aa
1212718856b386a0
13577c6960b8292
14241c6b1a9dc48
15100a0ec005080
hex765b052210d8

130133300220120 has 128 divisors (see below), whose sum is σ = 391383145497600. Its totient is φ = 34614867538944.

The previous prime is 130133300220103. The next prime is 130133300220127. The reversal of 130133300220120 is 21022003331031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130133300220127) 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 31 ways as a sum of consecutive naturals, for example, 155316876 + ... + 156152484.

It is an arithmetic number, because the mean of its divisors is an integer number (3057680824200).

Almost surely, 2130133300220120 is an apocalyptic number.

130133300220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130133300220120 is an abundant number, since it is smaller than the sum of its proper divisors (261249845277480).

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

130133300220120 is a wasteful number, since it uses less digits than its factorization.

130133300220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838889 (or 838885 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 130133300220120 its reverse (21022003331031), we get a palindrome (151155303551151).

The spelling of 130133300220120 in words is "one hundred thirty trillion, one hundred thirty-three billion, three hundred million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 463 926 1389 1852 2315 2778 2803 3704 4630 5556 5606 6945 8409 9260 11112 11212 13890 14015 16818 18520 22424 27780 28030 33636 42045 55560 56060 67272 84090 112120 168180 336360 835609 1297789 1671218 2506827 2595578 3342436 3893367 4178045 5013654 5191156 6488945 6684872 7786734 8356090 10027308 10382312 12534135 12977890 15573468 16712180 19466835 20054616 25068270 25955780 31146936 33424360 38933670 50136540 51911560 77867340 100273080 155734680 386886967 773773934 1160660901 1547547868 1934434835 2321321802 2342212027 3095095736 3868869670 4642643604 4684424054 5803304505 7026636081 7737739340 9285287208 9368848108 11606609010 11711060135 14053272162 15475478680 18737696216 23213218020 23422120270 28106544324 35133180405 46426436040 46844240540 56213088648 70266360810 93688481080 140532721620 281065443240 1084444168501 2168888337002 3253332505503 4337776674004 5422220842505 6506665011006 8675553348008 10844441685010 13013330022012 16266662527515 21688883370020 26026660044024 32533325055030 43377766740040 65066650110060 130133300220120