Search a number
-
+
30341555514303 = 31121922511954349
BaseRepresentation
bin1101110011000011100011…
…01000110110101110111111
310222102121212011122122012120
412321201301220312232333
512434104001202424203
6144310415043134023
76251051013352515
oct671416150665677
9128377764578176
1030341555514303
1197388660a3300
1234a0491674313
1313c127267b977
1476c7794d04b5
153793c07d2b53
hex1b9871a36bbf

30341555514303 has 48 divisors (see below), whose sum is σ = 46828727568000. Its totient is φ = 17413240680000.

The previous prime is 30341555514239. The next prime is 30341555514317.

30341555514303 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30341555514303 - 26 = 30341555514239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30341555518303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14547973 + ... + 16502321.

It is an arithmetic number, because the mean of its divisors is an integer number (975598491000).

Almost surely, 230341555514303 is an apocalyptic number.

30341555514303 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30341555514303 is a deficient number, since it is larger than the sum of its proper divisors (16487172053697).

30341555514303 is a wasteful number, since it uses less digits than its factorization.

30341555514303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956644 (or 1956633 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

It can be divided in two parts, 3034155 and 5514303, that added together give a palindrome (8548458).

The spelling of 30341555514303 in words is "thirty trillion, three hundred forty-one billion, five hundred fifty-five million, five hundred fourteen thousand, three hundred three".

Divisors: 1 3 11 19 33 57 121 209 363 627 2251 2299 6753 6897 24761 42769 74283 128307 272371 470459 817113 1411377 1954349 5175049 5863047 15525147 21497839 37132631 64493517 111397893 236476229 408458941 709428687 1225376823 4399239599 4493048351 13197718797 13479145053 48391635589 83585552381 145174906767 250756657143 532307991479 919441076191 1596923974437 2758323228573 10113851838101 30341555514303