Search a number
-
+
1312300311102 = 2331116346729023
BaseRepresentation
bin10011000110001011001…
…100011010001000111110
311122110021110112222222000
4103012023030122020332
5133000042334423402
62442510142003130
7163545011411604
oct23061314321076
94573243488860
101312300311102
114665a834aa60
121923ba8764a6
1396998538531
144773101b874
1524208c16c1c
hex1318b31a23e

1312300311102 has 128 divisors (see below), whose sum is σ = 3207816069120. Its totient is φ = 394367188320.

The previous prime is 1312300311071. The next prime is 1312300311121. The reversal of 1312300311102 is 2011130032131.

1312300311102 is a `hidden beast` number, since 1 + 312 + 30 + 0 + 311 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45201363 + ... + 45230385.

It is an arithmetic number, because the mean of its divisors is an integer number (25061063040).

Almost surely, 21312300311102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312300311102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603908034560).

1312300311102 is an abundant number, since it is smaller than the sum of its proper divisors (1895515758018).

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

1312300311102 is a wasteful number, since it uses less digits than its factorization.

1312300311102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29675 (or 29669 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1312300311102 its reverse (2011130032131), we get a palindrome (3323430343233).

The spelling of 1312300311102 in words is "one trillion, three hundred twelve billion, three hundred million, three hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 163 198 297 326 467 489 594 934 978 1401 1467 1793 2802 2934 3586 4203 4401 5137 5379 8406 8802 10274 10758 12609 15411 16137 25218 29023 30822 32274 46233 48411 58046 76121 87069 92466 96822 138699 152242 174138 228363 261207 277398 319253 456726 522414 638506 685089 783621 837331 957759 1370178 1567242 1674662 1915518 2055267 2511993 2873277 4110534 4730749 5023986 5746554 7535979 8619831 9461498 13553741 14192247 15071958 17239662 22607937 27107482 28384494 40661223 42576741 45215874 52038239 81322446 85153482 104076478 121983669 127730223 149091151 156114717 243967338 255460446 298182302 312229434 365951007 447273453 468344151 731902014 894546906 936688302 1341820359 1405032453 2209259783 2683640718 2810064906 4025461077 4418519566 6627779349 8050922154 13255558698 19883338047 24301857613 39766676094 48603715226 59650014141 72905572839 119300028282 145811145678 218716718517 437433437034 656150155551 1312300311102