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30123432440310 = 23511260371374601
BaseRepresentation
bin1101101100101101010000…
…11111010111000111110110
310221122202211210121101220110
412312112220133113013312
512422020242201042220
6144022302552443450
76226226511000216
oct666265037270766
9127582753541813
1030123432440310
119664304329400
1234661586a9586
1313a682079a091
14761da6506246
153738a6293be0
hex1b65a87d71f6

30123432440310 has 96 divisors (see below), whose sum is σ = 79479333684576. Its totient is φ = 7301435328000.

The previous prime is 30123432440303. The next prime is 30123432440347. The reversal of 30123432440310 is 1304423432103.

It is a happy number.

It is a super-2 number, since 2×301234324403102 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21227010 + ... + 22601610.

It is an arithmetic number, because the mean of its divisors is an integer number (827909725881).

Almost surely, 230123432440310 is an apocalyptic number.

30123432440310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30123432440310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39739666842288).

30123432440310 is an abundant number, since it is smaller than the sum of its proper divisors (49355901244266).

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

30123432440310 is a wasteful number, since it uses less digits than its factorization.

30123432440310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380670 (or 1380659 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 30123432440310 its reverse (1304423432103), we get a palindrome (31427855872413).

The spelling of 30123432440310 in words is "thirty trillion, one hundred twenty-three billion, four hundred thirty-two million, four hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 6037 12074 18111 30185 36222 60370 66407 90555 132814 181110 199221 332035 398442 664070 730477 996105 1374601 1460954 1992210 2191431 2749202 3652385 4123803 4382862 6873005 7304770 8247606 10957155 13746010 15120611 20619015 21914310 30241222 41238030 45361833 75603055 90723666 151206110 166326721 226809165 332653442 453618330 498980163 831633605 997960326 1663267210 2494900815 4989801630 8298466237 16596932474 24895398711 41492331185 49790797422 82984662370 91283128607 124476993555 182566257214 248953987110 273849385821 456415643035 547698771642 912831286070 1004114414677 1369246929105 2008228829354 2738493858210 3012343244031 5020572073385 6024686488062 10041144146770 15061716220155 30123432440310