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30010320044034 = 231197173101926591
BaseRepresentation
bin1101101001011010100100…
…11101110100000000000010
310221020221212210200022111020
412310231102131310000002
512413142113412402114
6143454314541330310
76215113464332151
oct664552235640002
9127227783608436
1030010320044034
11962033a32a970
12344824b566996
131398c65524995
1475a715c1d598
15370985d04aa9
hex1b4b52774002

30010320044034 has 128 divisors (see below), whose sum is σ = 66602263633920. Its totient is φ = 8939141068800.

The previous prime is 30010320044017. The next prime is 30010320044057. The reversal of 30010320044034 is 43044002301003.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30010320043995 and 30010320044013.

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 63 ways as a sum of consecutive naturals, for example, 1128576079 + ... + 1128602669.

It is an arithmetic number, because the mean of its divisors is an integer number (520330184640).

Almost surely, 230010320044034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30010320044034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33301131816960).

30010320044034 is an abundant number, since it is smaller than the sum of its proper divisors (36591943589886).

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

30010320044034 is a wasteful number, since it uses less digits than its factorization.

30010320044034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27896.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 30010320044034 its reverse (43044002301003), we get a palindrome (73054322345037).

The spelling of 30010320044034 in words is "thirty trillion, ten billion, three hundred twenty million, forty-four thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 97 173 194 291 346 519 582 1019 1038 1067 1903 2038 2134 3057 3201 3806 5709 6114 6402 11209 11418 16781 22418 26591 33562 33627 50343 53182 67254 79773 98843 100686 159546 176287 184591 197686 292501 296529 352574 369182 528861 553773 585002 593058 877503 1057722 1087273 1107546 1755006 1939157 2174546 2579327 3261819 3878314 4600243 5158654 5817471 6523638 7737981 9200486 11634942 13800729 15475962 17099839 27096229 27601458 28372597 34199678 50602673 51299517 54192458 56745194 81288687 85117791 101205346 102599034 151808019 162577374 170235582 188098229 298058519 303616038 376196458 446223571 564294687 596117038 892447142 894175557 1128589374 1338670713 1788351114 2628334213 2677341426 4687647617 4908459281 5256668426 7885002639 9375295234 9816918562 14062942851 14725377843 15770005278 28125885702 28911676343 29450755686 51564123787 57823352686 86735029029 103128247574 154692371361 173470058058 309384742722 454701818849 909403637698 1364105456547 2728210913094 5001720007339 10003440014678 15005160022017 30010320044034