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130101112032000 = 283531355219917
BaseRepresentation
bin11101100101001110000110…
…100100010100101100000000
3122001122112201012010201010220
4131211032012210110230000
5114023034034140011000
61140411343055423040
736255331560614664
oct3545160644245400
9561575635121126
10130101112032000
11384aa63201643a
1212712573224a80
135779636599015
14241acdabb08a4
1510093662441a0
hex765386914b00

130101112032000 has 144 divisors (see below), whose sum is σ = 432130843933152. Its totient is φ = 34693629849600.

The previous prime is 130101112031881. The next prime is 130101112032011. The reversal of 130101112032000 is 230211101031.

It is a happy number.

130101112032000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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, 677513959 + ... + 677705958.

Almost surely, 2130101112032000 is an apocalyptic number.

130101112032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130101112032000 is an abundant number, since it is smaller than the sum of its proper divisors (302029731901152).

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

130101112032000 is an equidigital number, since it uses as much as digits as its factorization.

130101112032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355219951 (or 1355219927 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 130101112032000 its reverse (230211101031), we get a palindrome (130331323133031).

The spelling of 130101112032000 in words is "one hundred thirty trillion, one hundred one billion, one hundred twelve million, thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000 1355219917 2710439834 4065659751 5420879668 6776099585 8131319502 10841759336 13552199170 16262639004 20328298755 21683518672 27104398340 32525278008 33880497925 40656597510 43367037344 54208796680 65050556016 67760995850 81313195020 86734074688 101641493775 108417593360 130101112032 135521991700 162626390040 169402489625 173468149376 203282987550 216835186720 260202224064 271043983400 325252780080 338804979250 346936298752 406565975100 433670373440 508207468875 520404448128 542087966800 650505560160 677609958500 813131950200 867340746880 1016414937750 1040808896256 1084175933600 1301011120320 1355219917000 1626263900400 1734681493760 2032829875500 2168351867200 2602022240640 2710439834000 3252527800800 4065659751000 4336703734400 5204044481280 5420879668000 6505055601600 8131319502000 8673407468800 10841759336000 13010111203200 16262639004000 21683518672000 26020222406400 32525278008000 43367037344000 65050556016000 130101112032000