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203113040331033 = 32743938331915993
BaseRepresentation
bin101110001011101011110000…
…100111100100000100011001
3222122011102021000020010111200
4232023223300213210010121
5203110301001311043113
61555552501555344413
760532301325452130
oct5613536047440431
9878142230203450
10203113040331033
1159799836136908
121a9448022b2109
138944629151611
143822a1b804917
151873682789873
hexb8baf09e4119

203113040331033 has 48 divisors (see below), whose sum is σ = 336149344776960. Its totient is φ = 115769938632192.

The previous prime is 203113040330971. The next prime is 203113040331083. The reversal of 203113040331033 is 330133040311302.

203113040331033 is a `hidden beast` number, since 2 + 0 + 3 + 11 + 304 + 0 + 3 + 310 + 33 = 666.

It is not a de Polignac number, because 203113040331033 - 210 = 203113040330009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 203113040330988 and 203113040331006.

It is not an unprimeable number, because it can be changed into a prime (203113040331083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105051285 + ... + 106967277.

It is an arithmetic number, because the mean of its divisors is an integer number (7003111349520).

Almost surely, 2203113040331033 is an apocalyptic number.

It is an amenable number.

203113040331033 is a deficient number, since it is larger than the sum of its proper divisors (133036304445927).

203113040331033 is a wasteful number, since it uses less digits than its factorization.

203113040331033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920278 (or 1920275 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 203113040331033 its reverse (330133040311302), we get a palindrome (533246080642335).

The spelling of 203113040331033 in words is "two hundred three trillion, one hundred thirteen billion, forty million, three hundred thirty-one thousand, thirty-three".

Divisors: 1 3 7 9 21 63 439 1317 3073 3833 3951 9219 11499 26831 27657 34497 80493 241479 1682687 1915993 5048061 5747979 11778809 13411951 15144183 17243937 35336427 40235853 106009281 120707559 841120927 2523362781 5887846489 7344001169 7570088343 17663539467 22032003507 51408008183 52990618401 66096010521 154224024549 462672073647 3224016513191 9672049539573 22568115592337 29016148618719 67704346777011 203113040331033