Search a number
-
+
131103300134244 = 223192297193492323
BaseRepresentation
bin11101110011110011011101…
…101000100010010101100100
3122012012100112101212020121210
4131303303131220202111210
5114140444024313243434
61142500005152511420
736420620665130604
oct3563633550422544
9565170471766553
10131103300134244
1138856663084999
1212854845b4b570
13581ccacc8b8c9
14245360da78c04
15102546eb26ee9
hex773cdda22564

131103300134244 has 96 divisors (see below), whose sum is σ = 323864158464000. Its totient is φ = 41162909809536.

The previous prime is 131103300134201. The next prime is 131103300134281. The reversal of 131103300134244 is 442431003301131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35794267 + ... + 39286589.

It is an arithmetic number, because the mean of its divisors is an integer number (3373584984000).

Almost surely, 2131103300134244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131103300134244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161932079232000).

131103300134244 is an abundant number, since it is smaller than the sum of its proper divisors (192760858329756).

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

131103300134244 is a wasteful number, since it uses less digits than its factorization.

131103300134244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493297 (or 3493295 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131103300134244 its reverse (442431003301131), we get a palindrome (573534303435375).

The spelling of 131103300134244 in words is "one hundred thirty-one trillion, one hundred three billion, three hundred million, one hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 229 458 687 719 916 1374 1438 2157 2748 2876 4314 4351 8628 8702 13053 13661 17404 26106 27322 40983 52212 54644 81966 163932 164651 329302 493953 658604 987906 1975812 3128369 3492323 6256738 6984646 9385107 10476969 12513476 13969292 18770214 20953938 37540428 41907876 66354137 132708274 199062411 265416548 398124822 796249644 799741967 1599483934 2399225901 2510980237 3198967868 4798451802 5021960474 7532940711 9596903604 10043920948 15065881422 15195097373 30131762844 30390194746 45585292119 47708624503 60780389492 91170584238 95417249006 143125873509 182341168476 190834498012 286251747018 572503494036 575014474273 1150028948546 1725043422819 2300057897092 3450086845638 6900173691276 10925275011187 21850550022374 32775825033561 43701100044748 65551650067122 131103300134244