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131101303220030 = 251113283323954887
BaseRepresentation
bin11101110011110001100110…
…100110111010011100111110
3122012012011101020022111022002
4131303301212212322130332
5114140430432111020110
61142455035100022302
736420520336500353
oct3563614646723476
9565164336274262
10131101303220030
1138855828955770
1212854389231992
13581ca52354c70
1424534a078462a
1510253a4673aa5
hex773c669ba73e

131101303220030 has 64 divisors (see below), whose sum is σ = 278217641092608. Its totient is φ = 43850533368960.

The previous prime is 131101303219993. The next prime is 131101303220033. The reversal of 131101303220030 is 30022303101131.

131101303220030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1311013032200303 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131101303219984 and 131101303220011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101303220033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161572754 + ... + 162382133.

It is an arithmetic number, because the mean of its divisors is an integer number (4347150642072).

Almost surely, 2131101303220030 is an apocalyptic number.

131101303220030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131101303220030 is an abundant number, since it is smaller than the sum of its proper divisors (147116337872578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131101303220030 is a wasteful number, since it uses less digits than its factorization.

131101303220030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323955201.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131101303220030 its reverse (30022303101131), we get a palindrome (161123606321161).

The spelling of 131101303220030 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred three million, two hundred twenty thousand, thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 283 286 566 715 1415 1430 2830 3113 3679 6226 7358 15565 18395 31130 36790 40469 80938 202345 404690 323954887 647909774 1619774435 3239548870 3563503757 4211413531 7127007514 8422827062 17817518785 21057067655 35635037570 42114135310 46325548841 91679233021 92651097682 183358466042 231627744205 458396165105 463255488410 916792330210 1008471563231 1191830029273 2016943126462 2383660058546 5042357816155 5959150146365 10084715632310 11918300292730 13110130322003 26220260644006 65550651610015 131101303220030