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30310220100224 = 272977310563349
BaseRepresentation
bin1101110010001001001011…
…11001101111001010000000
310222022121222100112200002202
412321010211321233022000
512433100312321201344
6144244153424332332
76245561336625251
oct671044571571200
9128277870480082
1030310220100224
119726546073979
1234963a74740a8
1313bb31a72c52c
1476b045986b28
1537868982094e
hex1b9125e6f280

30310220100224 has 64 divisors (see below), whose sum is σ = 62546651685000. Its totient is φ = 14613589143552.

The previous prime is 30310220100217. The next prime is 30310220100229. The reversal of 30310220100224 is 42200102201303.

It can be written as a sum of positive squares in 4 ways, for example, as 10615867240000 + 19694352860224 = 3258200^2 + 4437832^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 30310220100196 and 30310220100205.

It is not an unprimeable number, because it can be changed into a prime (30310220100229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2412299 + ... + 8151050.

Almost surely, 230310220100224 is an apocalyptic number.

It is an amenable number.

30310220100224 is an abundant number, since it is smaller than the sum of its proper divisors (32236431584776).

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

30310220100224 is a wasteful number, since it uses less digits than its factorization.

30310220100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10564165 (or 10564153 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30310220100224 its reverse (42200102201303), we get a palindrome (72510322301527).

The spelling of 30310220100224 in words is "thirty trillion, three hundred ten billion, two hundred twenty million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 773 928 1546 1856 3092 3712 6184 12368 22417 24736 44834 49472 89668 98944 179336 358672 717344 1434688 2869376 10563349 21126698 42253396 84506792 169013584 306337121 338027168 612674242 676054336 1225348484 1352108672 2450696968 4901393936 8165468777 9802787872 16330937554 19605575744 32661875108 39211151488 65323750216 130647500432 236798594533 261295000864 473597189066 522590001728 947194378132 1045180003456 1894388756264 3788777512528 7577555025056 15155110050112 30310220100224