Search a number
-
+
10311312110424 = 23313313832783549
BaseRepresentation
bin1001011000001100101000…
…0110000111001101011000
31100111202022001220000211020
42112003022012013031120
52322420031400013144
633532541300002440
72112652632541503
oct226031206071530
940452261800736
1010311312110424
113316003964306
1211a6499690420
1359a47775c8a0
142790da78813a
1512d34a793419
hex960ca187358

10311312110424 has 128 divisors (see below), whose sum is σ = 28731580416000. Its totient is φ = 3062348167680.

The previous prime is 10311312110423. The next prime is 10311312110471. The reversal of 10311312110424 is 42401121311301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10311312110394 and 10311312110403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311312110423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2312602 + ... + 5096150.

It is an arithmetic number, because the mean of its divisors is an integer number (224465472000).

Almost surely, 210311312110424 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 10311312110424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14365790208000).

10311312110424 is an abundant number, since it is smaller than the sum of its proper divisors (18420268305576).

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

10311312110424 is a wasteful number, since it uses less digits than its factorization.

10311312110424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783985 (or 2783981 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10311312110424 its reverse (42401121311301), we get a palindrome (52712433421725).

The spelling of 10311312110424 in words is "ten trillion, three hundred eleven billion, three hundred twelve million, one hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 383 403 744 766 806 1149 1209 1532 1612 2298 2418 3064 3224 4596 4836 4979 9192 9672 9958 11873 14937 19916 23746 29874 35619 39832 47492 59748 71238 94984 119496 142476 154349 284952 308698 463047 617396 926094 1234792 1852188 2783549 3704376 5567098 8350647 11134196 16701294 22268392 33402588 36186137 66805176 72372274 86290019 108558411 144744548 172580038 217116822 258870057 289489096 345160076 434233644 517740114 690320152 868467288 1035480228 1066099267 1121770247 2070960456 2132198534 2243540494 3198297801 3365310741 4264397068 4487080988 6396595602 6730621482 8528794136 8974161976 12793191204 13461242964 13859290471 25586382408 26922485928 27718580942 33049077277 41577871413 55437161884 66098154554 83155742826 99147231831 110874323768 132196309108 166311485652 198294463662 264392618216 332622971304 396588927324 429638004601 793177854648 859276009202 1288914013803 1718552018404 2577828027606 3437104036808 5155656055212 10311312110424