Search a number
-
+
13003101200331 = 3311208920958107
BaseRepresentation
bin1011110100111000010100…
…1110100101111111001011
31201001002021110221211101000
42331032011032211333023
53201020322401402311
643353313042030043
72511304653355644
oct275160516457713
951032243854330
1013003101200331
114163647701480
121560108348323
137342583138b8
1432d4d3c526cb
15178391a6b056
hexbd3853a5fcb

13003101200331 has 32 divisors (see below), whose sum is σ = 21025173945600. Its totient is φ = 7876894559040.

The previous prime is 13003101200329. The next prime is 13003101200333. The reversal of 13003101200331 is 13300210130031.

It is a happy number.

13003101200331 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 310 + 1 + 20 + 0 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (13003101200329) and next prime (13003101200333).

It is not a de Polignac number, because 13003101200331 - 21 = 13003101200329 is a prime.

It is a super-2 number, since 2×130031012003312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13003101200333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9858621 + ... + 11099486.

It is an arithmetic number, because the mean of its divisors is an integer number (657036685800).

Almost surely, 213003101200331 is an apocalyptic number.

13003101200331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13003101200331 is a deficient number, since it is larger than the sum of its proper divisors (8022072745269).

13003101200331 is a wasteful number, since it uses less digits than its factorization.

13003101200331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20960216 (or 20960210 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13003101200331 its reverse (13300210130031), we get a palindrome (26303311330362).

The spelling of 13003101200331 in words is "thirteen trillion, three billion, one hundred one million, two hundred thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 2089 6267 18801 22979 56403 68937 206811 620433 20958107 62874321 188622963 230539177 565868889 691617531 2074852593 6224557779 43781485523 131344456569 394033369707 481596340753 1182100109121 1444789022259 4334367066777 13003101200331