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30000121210000 = 245423091299269
BaseRepresentation
bin1101101001000111100101…
…00100010110010010010000
310221012222120000202212100101
412310203302210112102100
512413010222012210000
6143445510533102144
76214302653560144
oct664436244262220
9127188500685311
1030000121210000
119616a86359a07
123446283a87954
131397ccb59ab46
1475a0294dd224
1537058a76ce6a
hex1b48f2916490

30000121210000 has 100 divisors (see below), whose sum is σ = 72664805990700. Its totient is φ = 11994842176000.

The previous prime is 30000121209979. The next prime is 30000121210051. The reversal of 30000121210000 is 1212100003.

It can be written as a sum of positive squares in 10 ways, for example, as 8209187668224 + 21790933541776 = 2865168^2 + 4668076^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×300001212100002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 19 ways as a sum of consecutive naturals, for example, 22440366 + ... + 23739634.

It is an arithmetic number, because the mean of its divisors is an integer number (726648059907).

Almost surely, 230000121210000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30000121210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36332402995350).

30000121210000 is an abundant number, since it is smaller than the sum of its proper divisors (42664684780700).

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

30000121210000 is a wasteful number, since it uses less digits than its factorization.

30000121210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301606 (or 1301585 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 30000121210000 its reverse (1212100003), we get a palindrome (30001333310003).

The spelling of 30000121210000 in words is "thirty trillion, one hundred twenty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2309 2500 4618 5000 9236 10000 11545 18472 23090 36944 46180 57725 92360 115450 184720 230900 288625 461800 577250 923600 1154500 1299269 1443125 2309000 2598538 2886250 4618000 5197076 5772500 6496345 10394152 11545000 12992690 20788304 23090000 25985380 32481725 51970760 64963450 103941520 129926900 162408625 259853800 324817250 519707600 649634500 812043125 1299269000 1624086250 2598538000 3000012121 3248172500 6000024242 6496345000 12000048484 12992690000 15000060605 24000096968 30000121210 48000193936 60000242420 75000303025 120000484840 150000606050 240000969680 300001212100 375001515125 600002424200 750003030250 1200004848400 1500006060500 1875007575625 3000012121000 3750015151250 6000024242000 7500030302500 15000060605000 30000121210000