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30131201010300 = 223521345071714211
BaseRepresentation
bin1101101100111011101111…
…00010000110101001111100
310221200111220012112122111220
412312131313202012221330
512422132144424312200
6144030025504113340
76226623151520265
oct666356742065174
9127614805478456
1030131201010300
1196676304a6a85
123467766305850
1313a748b0a0060
1476250216996c
15373bad2c74a0
hex1b6777886a7c

30131201010300 has 144 divisors (see below), whose sum is σ = 93906617841792. Its totient is φ = 7415261049600.

The previous prime is 30131201010299. The next prime is 30131201010301. The reversal of 30131201010300 is 301010213103.

It is an interprime number because it is at equal distance from previous prime (30131201010299) and next prime (30131201010301).

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 30131201010300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30131201010301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16720195 + ... + 18434405.

It is an arithmetic number, because the mean of its divisors is an integer number (652129290568).

Almost surely, 230131201010300 is an apocalyptic number.

30131201010300 is a gapful number since it is divisible by the number (30) 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 30131201010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46953308920896).

30131201010300 is an abundant number, since it is smaller than the sum of its proper divisors (63775416831492).

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

30131201010300 is a wasteful number, since it uses less digits than its factorization.

30131201010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718748 (or 1718741 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 30131201010300 its reverse (301010213103), we get a palindrome (30432211223403).

The spelling of 30131201010300 in words is "thirty trillion, one hundred thirty-one billion, two hundred one million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 4507 9014 13521 18028 22535 27042 45070 54084 58591 67605 90140 112675 117182 135210 175773 225350 234364 270420 292955 338025 351546 450700 585910 676050 703092 878865 1171820 1352100 1464775 1714211 1757730 2929550 3428422 3515460 4394325 5142633 5859100 6856844 8571055 8788650 10285266 17142110 17577300 20570532 22284743 25713165 34284220 42855275 44569486 51426330 66854229 85710550 89138972 102852660 111423715 128565825 133708458 171421100 222847430 257131650 267416916 334271145 445694860 514263300 557118575 668542290 1114237150 1337084580 1671355725 2228474300 3342711450 6685422900 7725948977 15451897954 23177846931 30903795908 38629744885 46355693862 77259489770 92711387724 100437336701 115889234655 154518979540 193148724425 200874673402 231778469310 301312010103 386297448850 401749346804 463556938620 502186683505 579446173275 602624020206 772594897700 1004373367010 1158892346550 1205248040412 1506560050515 2008746734020 2317784693100 2510933417525 3013120101030 5021866835050 6026240202060 7532800252575 10043733670100 15065600505150 30131201010300