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203313121130031 = 311234725122706597
BaseRepresentation
bin101110001110100110000110…
…010111001111011000101111
3222122212112200222112211101120
4232032212012113033120233
5203122040233002130111
62000224431453312023
760552613450260543
oct5616460627173057
9878775628484346
10203313121130031
1159866679574540
121a977540a95613
13895a464120743
14382c59c519a23
151878992d6e406
hexb8e9865cf62f

203313121130031 has 64 divisors (see below), whose sum is σ = 316407178838016. Its totient is φ = 114895375760000.

The previous prime is 203313121130003. The next prime is 203313121130039. The reversal of 203313121130031 is 130031121313302.

It is not a de Polignac number, because 203313121130031 - 233 = 203304531195439 is a prime.

It is a super-2 number, since 2×2033131211300312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203313121129983 and 203313121130010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203313121130039) 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, 2399376 + ... + 20307221.

It is an arithmetic number, because the mean of its divisors is an integer number (4943862169344).

Almost surely, 2203313121130031 is an apocalyptic number.

203313121130031 is a deficient number, since it is larger than the sum of its proper divisors (113094057707985).

203313121130031 is a wasteful number, since it uses less digits than its factorization.

203313121130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22706932.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 203313121130031 its reverse (130031121313302), we get a palindrome (333344242443333).

The spelling of 203313121130031 in words is "two hundred three trillion, three hundred thirteen billion, one hundred twenty-one million, one hundred thirty thousand, thirty-one".

Divisors: 1 3 11 23 33 47 69 141 251 253 517 753 759 1081 1551 2761 3243 5773 8283 11797 11891 17319 35391 35673 63503 129767 190509 271331 389301 813993 2984641 8953923 22706597 68119791 249772567 522251731 749317701 1067210059 1566755193 3201630177 5699355847 5744769041 11739310649 17098067541 17234307123 24545831357 35217931947 62692914317 73637494071 131085184481 188078742951 267869724809 270004144927 393255553443 803609174427 810012434781 1441937029291 2946566972899 4325811087873 6161003670607 8839700918697 18483011011821 67771040376677 203313121130031