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30002213120220 = 223251115152632889
BaseRepresentation
bin1101101001001011011110…
…10000010110100011011100
310221020011221211001220200200
412310211233100112203130
512413024013024321340
6143450454302023500
76214405544531565
oct664455720264334
9127204854056620
1030002213120220
11961795a172030
123446768577b90
131398272ab5743
1475a18728116c
1537065e238330
hex1b496f4168dc

30002213120220 has 72 divisors (see below), whose sum is σ = 99280050695280. Its totient is φ = 7273263786240.

The previous prime is 30002213120203. The next prime is 30002213120221. The reversal of 30002213120220 is 2202131220003.

30002213120220 is a `hidden beast` number, since 300 + 0 + 2 + 21 + 3 + 120 + 220 = 666.

30002213120220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×300022131202202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30002213120193 and 30002213120202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30002213120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7576314465 + ... + 7576318424.

It is an arithmetic number, because the mean of its divisors is an integer number (1378889592990).

Almost surely, 230002213120220 is an apocalyptic number.

30002213120220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30002213120220 is an abundant number, since it is smaller than the sum of its proper divisors (69277837575060).

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

30002213120220 is a wasteful number, since it uses less digits than its factorization.

30002213120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15152632915 (or 15152632910 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30002213120220 its reverse (2202131220003), we get a palindrome (32204344340223).

The spelling of 30002213120220 in words is "thirty trillion, two billion, two hundred thirteen million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 15152632889 30305265778 45457898667 60610531556 75763164445 90915797334 136373696001 151526328890 166678961779 181831594668 227289493335 272747392002 303052657780 333357923558 454578986670 500036885337 545494784004 666715847116 681868480005 833394808895 909157973340 1000073770674 1363736960010 1500110656011 1666789617790 2000147541348 2500184426685 2727473920020 3000221312022 3333579235580 5000368853370 6000442624044 7500553280055 10000737706740 15001106560110 30002213120220