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30214123020 = 22325596742463
BaseRepresentation
bin11100001000111001…
…101110111000001100
32212222200012110221100
4130020321232320030
5443334303414040
621514041303100
72116506544134
oct341071567014
985880173840
1030214123020
11118a50a2904
125a32794a90
132b06855803
141668a65ac4
15bbc822b30
hex708e6ee0c

30214123020 has 144 divisors (see below), whose sum is σ = 94596203520. Its totient is φ = 7802137728.

The previous prime is 30214122931. The next prime is 30214123021. The reversal of 30214123020 is 2032141203.

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 = 30214122984 and 30214123002.

It is not an unprimeable number, because it can be changed into a prime (30214123021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690309 + ... + 732771.

It is an arithmetic number, because the mean of its divisors is an integer number (656918080).

Almost surely, 230214123020 is an apocalyptic number.

30214123020 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 30214123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47298101760).

30214123020 is an abundant number, since it is smaller than the sum of its proper divisors (64382080500).

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

30214123020 is a wasteful number, since it uses less digits than its factorization.

30214123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42604 (or 42599 counting only the distinct ones).

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

Adding to 30214123020 its reverse (2032141203), we get a palindrome (32246264223).

The spelling of 30214123020 in words is "thirty billion, two hundred fourteen million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 67 90 118 134 177 180 201 236 268 295 335 354 402 531 590 603 670 708 804 885 1005 1062 1180 1206 1340 1770 2010 2124 2412 2655 3015 3540 3953 4020 5310 6030 7906 10620 11859 12060 15812 19765 23718 35577 39530 42463 47436 59295 71154 79060 84926 118590 127389 142308 169852 177885 212315 237180 254778 355770 382167 424630 509556 636945 711540 764334 849260 1273890 1528668 1910835 2505317 2547780 2845021 3821670 5010634 5690042 7515951 7643340 8535063 10021268 11380084 12526585 14225105 15031902 17070126 22547853 25053170 25605189 28450210 30063804 34140252 37579755 42675315 45095706 50106340 51210378 56900420 75159510 85350630 90191412 102420756 112739265 128025945 150319020 167856239 170701260 225478530 256051890 335712478 450957060 503568717 512103780 671424956 839281195 1007137434 1510706151 1678562390 2014274868 2517843585 3021412302 3357124780 5035687170 6042824604 7553530755 10071374340 15107061510 30214123020