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10030122131331 = 343673235935863
BaseRepresentation
bin1001000111110101000111…
…0111011101111110000011
31022111212111110100001220010
42101331101313131332003
52303313142231200311
633155435142520003
72053436530262211
oct221752167357603
938455443301803
1010030122131331
113217829505135
12115baa3736003
13579ab4912683
14269663889cb1
15125d8e643da6
hex91f51dddf83

10030122131331 has 32 divisors (see below), whose sum is σ = 13889570590720. Its totient is φ = 6433382872224.

The previous prime is 10030122131287. The next prime is 10030122131387. The reversal of 10030122131331 is 13313122103001.

It is a happy number.

It is not a de Polignac number, because 10030122131331 - 226 = 10030055022467 is a prime.

It is a super-2 number, since 2×100301221313312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10030122131298 and 10030122131307.

It is not an unprimeable number, because it can be changed into a prime (10030122130331) 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, 279660906 + ... + 279696768.

It is an arithmetic number, because the mean of its divisors is an integer number (434049080960).

Almost surely, 210030122131331 is an apocalyptic number.

10030122131331 is a deficient number, since it is larger than the sum of its proper divisors (3859448459389).

10030122131331 is a wasteful number, since it uses less digits than its factorization.

10030122131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68335.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10030122131331 its reverse (13313122103001), we get a palindrome (23343244234332).

The spelling of 10030122131331 in words is "ten trillion, thirty billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 43 67 129 201 2881 8643 32359 35863 97077 107589 1391437 1542109 2168053 2402821 4174311 4626327 6504159 7208463 93226279 103321303 279678837 309963909 1160490817 3481472451 49901105131 77752884739 149703315393 233258654217 3343374043777 10030122131331