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131203002301041 = 31119614877043969
BaseRepresentation
bin11101110101010000010100…
…010110000111101001110001
3122012112212212211002002112010
4131311100110112013221301
5114144112222042113131
61143013454400153133
736431050464432666
oct3565202426075161
9565485784062463
10131203002301041
1138894976386550
12128700300087a9
13582950bb7b888
14245838b32ba6d
151027d57b2eb46
hex775414587a71

131203002301041 has 64 divisors (see below), whose sum is σ = 204597462067200. Its totient is φ = 73944758476800.

The previous prime is 131203002301013. The next prime is 131203002301057. The reversal of 131203002301041 is 140103200302131.

It is not a de Polignac number, because 131203002301041 - 26 = 131203002300977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131203002300999 and 131203002301017.

It is not an unprimeable number, because it can be changed into a prime (131203002301001) 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 63 ways as a sum of consecutive naturals, for example, 15104305 + ... + 22148273.

It is an arithmetic number, because the mean of its divisors is an integer number (3196835344800).

Almost surely, 2131203002301041 is an apocalyptic number.

131203002301041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131203002301041 is a deficient number, since it is larger than the sum of its proper divisors (73394459766159).

131203002301041 is a wasteful number, since it uses less digits than its factorization.

131203002301041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044550.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131203002301041 its reverse (140103200302131), we get a palindrome (271306202603172).

The spelling of 131203002301041 in words is "one hundred thirty-one trillion, two hundred three billion, two million, three hundred one thousand, forty-one".

Divisors: 1 3 11 19 33 57 61 183 209 487 627 671 1159 1461 2013 3477 5357 9253 12749 16071 27759 29707 38247 89121 101783 305349 326777 564433 980331 1693299 6208763 7043969 18626289 21131907 77483659 133835411 232450977 401506233 429682109 1289046327 1472189521 3430412903 4416568563 4726503199 8163960071 10291238709 14179509597 24491880213 37734541933 65177845157 89803560781 113203625799 195533535471 209255187083 269410682343 627765561249 716956296727 2150868890181 2301807057913 3975848554577 6905421173739 11927545663731 43734334100347 131203002301041