Search a number
-
+
1335546455331 = 311210140079091
BaseRepresentation
bin10011011011110100110…
…001011010010100100011
311201200021112021110221210
4103123310301122110203
5133340144343032311
62501312551321203
7165330041364054
oct23336461322443
94650245243853
101335546455331
1147544717a200
12196a07980203
1398c315ba06a
14488d84a072b
1524b199483a6
hex136f4c5a523

1335546455331 has 48 divisors (see below), whose sum is σ = 1977420098304. Its totient is φ = 801119880000.

The previous prime is 1335546455297. The next prime is 1335546455333.

1335546455331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1335546455331 - 230 = 1334472713507 is a prime.

It is a super-2 number, since 2×13355464553312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1335546455333) 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, 146904096 + ... + 146913186.

It is an arithmetic number, because the mean of its divisors is an integer number (41196252048).

Almost surely, 21335546455331 is an apocalyptic number.

1335546455331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1335546455331 is a deficient number, since it is larger than the sum of its proper divisors (641873642973).

1335546455331 is a wasteful number, since it uses less digits than its factorization.

1335546455331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13224 (or 13213 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 48.

The spelling of 1335546455331 in words is "one trillion, three hundred thirty-five billion, five hundred forty-six million, four hundred fifty-five thousand, three hundred thirty-one".

Divisors: 1 3 11 33 101 121 303 363 1111 3333 4007 9091 12021 12221 27273 36663 44077 100001 132231 300003 404707 484847 918191 1100011 1214121 1454541 2754573 3300033 4451777 10100101 13355331 30300303 36427637 48969547 109282911 111101111 146908641 333303333 400704007 1202112021 3679191337 4407744077 11037574011 13223232231 40471104707 121413314121 445182151777 1335546455331