Search a number
-
+
30103310312334 = 23271792687496733
BaseRepresentation
bin1101101100000111110010…
…00111100010001110001110
310221120211220110021101120100
412312003321013202032032
512421203034414443314
6144005134141431530
76224615043510120
oct666037107421616
9127524813241510
1030103310312334
119656818974876
12346228186b5a6
1313a4964a01a8c
14761017d0d210
153730c9951c09
hex1b60f91e238e

30103310312334 has 96 divisors (see below), whose sum is σ = 74986010910720. Its totient is φ = 8549695550016.

The previous prime is 30103310312303. The next prime is 30103310312347. The reversal of 30103310312334 is 43321301330103.

30103310312334 is a `hidden beast` number, since 3 + 0 + 1 + 0 + 3 + 3 + 10 + 312 + 334 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30103310312298 and 30103310312307.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 60354232 + ... + 60850964.

It is an arithmetic number, because the mean of its divisors is an integer number (781104280320).

Almost surely, 230103310312334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30103310312334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37493005455360).

30103310312334 is an abundant number, since it is smaller than the sum of its proper divisors (44882700598386).

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

30103310312334 is a wasteful number, since it uses less digits than its factorization.

30103310312334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499614 (or 499611 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 30103310312334 its reverse (43321301330103), we get a palindrome (73424611642437).

The spelling of 30103310312334 in words is "thirty trillion, one hundred three billion, three hundred ten million, three hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 179 358 537 1074 1253 1611 2506 2687 3222 3759 5374 7518 8061 11277 16122 18809 22554 24183 37618 48366 56427 112854 169281 338562 480973 496733 961946 993466 1442919 1490199 2885838 2980398 3366811 3477131 4328757 4470597 6733622 6954262 8657514 8941194 10100433 10431393 20200866 20862786 30301299 31294179 60602598 62588358 88915207 177830414 266745621 533491242 622406449 800236863 1244812898 1334721571 1600473726 1867219347 2669443142 3734438694 4004164713 5601658041 8008329426 9343050997 11203316082 12012494139 18686101994 24024988278 28029152991 56058305982 84087458973 168174917946 238915161209 477830322418 716745483627 1433490967254 1672406128463 2150236450881 3344812256926 4300472901762 5017218385389 10034436770778 15051655156167 30103310312334