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30013141200 = 2435273572993
BaseRepresentation
bin11011111100111011…
…000011000011010000
32212110200000112201020
4123330323003003100
5442431331004300
621442101435440
72111516330250
oct337473030320
985420015636
1030013141200
11118016aa229
12599740bb80
132aa4016663
14164a0a9960
15ba9d728a0
hex6fcec30d0

30013141200 has 120 divisors (see below), whose sum is σ = 109876711488. Its totient is φ = 6860144640.

The previous prime is 30013141159. The next prime is 30013141201. The reversal of 30013141200 is 214131003.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×300131412002 (a number of 22 digits) contains 22 as substring.

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 30013141200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30013141201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1778097 + ... + 1794896.

Almost surely, 230013141200 is an apocalyptic number.

30013141200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30013141200 is an abundant number, since it is smaller than the sum of its proper divisors (79863570288).

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

30013141200 is a wasteful number, since it uses less digits than its factorization.

30013141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573021 (or 3573010 counting only the distinct ones).

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

Adding to 30013141200 its reverse (214131003), we get a palindrome (30227272203).

The spelling of 30013141200 in words is "thirty billion, thirteen million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 3572993 7145986 10718979 14291972 17864965 21437958 25010951 28583944 35729930 42875916 50021902 53594895 57167888 71459860 75032853 85751832 89324825 100043804 107189790 125054755 142919720 150065706 171503664 178649650 200087608 214379580 250109510 267974475 285839440 300131412 357299300 375164265 400175216 428759160 500219020 535948950 600262824 625273775 714598600 750328530 857518320 1000438040 1071897900 1200525648 1250547550 1429197200 1500657060 1875821325 2000876080 2143795800 2501095100 3001314120 3751642650 4287591600 5002190200 6002628240 7503285300 10004380400 15006570600 30013141200