Search a number
-
+
30342233224303 = 71113314492177737
BaseRepresentation
bin1101110011000100110100…
…00010000111010001101111
310222102200121101212212112221
412321202122002013101233
512434111343201134203
6144311010212540211
76251103552656440
oct671423202072157
9128380541785487
1030342233224303
1197390836a8910
1234a0640621667
1313c134cbb54c0
1476c8015052c7
15379410050abd
hex1b989a08746f

30342233224303 has 64 divisors (see below), whose sum is σ = 42147070156800. Its totient is φ = 21073515724800.

The previous prime is 30342233224273. The next prime is 30342233224327.

30342233224303 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30342233224303 - 221 = 30342231127151 is a prime.

It is a super-2 number, since 2×303422332243032 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30342233224003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12844051 + ... + 15021787.

It is an arithmetic number, because the mean of its divisors is an integer number (658547971200).

Almost surely, 230342233224303 is an apocalyptic number.

30342233224303 is a deficient number, since it is larger than the sum of its proper divisors (11804836932497).

30342233224303 is a wasteful number, since it uses less digits than its factorization.

30342233224303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178248.

The product of its (nonzero) digits is 186624, while the sum is 34.

It can be divided in two parts, 3034223 and 3224303, that added together give a palindrome (6258526).

The spelling of 30342233224303 in words is "thirty trillion, three hundred forty-two billion, two hundred thirty-three million, two hundred twenty-four thousand, three hundred three".

Divisors: 1 7 11 13 31 77 91 143 217 341 403 449 1001 2387 2821 3143 4433 4939 5837 13919 31031 34573 40859 64207 97433 153109 180947 449449 1071763 1266629 1990417 2177737 13932919 15244159 23955107 28310581 67509847 167685749 198174067 311416391 472568929 742608317 877628011 977803913 2179914737 5198258219 6143396077 6844627391 9653908121 10755843043 12711450869 30311921303 67577356847 75290901301 88980156083 139825959559 212183449121 333431134333 394054976939 978781716913 2334017940331 2758384838573 4334604746329 30342233224303