Search a number
-
+
1313230300002 = 2323159331120511
BaseRepresentation
bin10011000111000010101…
…000000010001101100010
311122112200021111022220100
4103013002220002031202
5133003443424100002
62443142322523230
7163610033241525
oct23070250021542
94575607438810
101313230300002
11466a352a5425
1219261a206516
1396ab6101b1a
14477bc742bbc
15242606b911c
hex131c2a02362

1313230300002 has 96 divisors (see below), whose sum is σ = 2995947601920. Its totient is φ = 415181052000.

The previous prime is 1313230299973. The next prime is 1313230300069. The reversal of 1313230300002 is 2000030323131.

1313230300002 is a `hidden beast` number, since 131 + 3 + 230 + 300 + 0 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10836927 + ... + 10957437.

It is an arithmetic number, because the mean of its divisors is an integer number (31207787520).

Almost surely, 21313230300002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313230300002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497973800960).

1313230300002 is an abundant number, since it is smaller than the sum of its proper divisors (1682717301918).

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

1313230300002 is a wasteful number, since it uses less digits than its factorization.

1313230300002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120940 (or 120937 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1313230300002 its reverse (2000030323131), we get a palindrome (3313260623133).

The spelling of 1313230300002 in words is "one trillion, three hundred thirteen billion, two hundred thirty million, three hundred thousand, two".

Divisors: 1 2 3 6 9 18 31 59 62 93 118 177 186 279 331 354 531 558 662 993 1062 1829 1986 2979 3658 5487 5958 10261 10974 16461 19529 20522 30783 32922 39058 58587 61566 92349 117174 120511 175761 184698 241022 351522 361533 605399 723066 1084599 1210798 1816197 2169198 3632394 3735841 5448591 7110149 7471682 10897182 11207523 14220298 21330447 22415046 33622569 39889141 42660894 63991341 67245138 79778282 119667423 127982682 220414619 239334846 359002269 440829238 661243857 718004538 1236563371 1322487714 1983731571 2353459319 2473126742 3709690113 3967463142 4706918638 7060377957 7419380226 11129070339 14120755914 21181133871 22258140678 42362267742 72957238889 145914477778 218871716667 437743433334 656615150001 1313230300002