Search a number
-
+
1303132311330 = 235476724235693
BaseRepresentation
bin10010111101101000101…
…111010000111100100010
311121120121112100100120220
4102331220233100330202
5132322303332430310
62434352315543510
7163101555612363
oct22755057207442
94546545310526
101303132311330
11462723243043
1219068045ab96
1395b670264b5
1447101593b6a
1523d6de02670
hex12f68bd0f22

1303132311330 has 128 divisors (see below), whose sum is σ = 3243640578048. Its totient is φ = 334834950912.

The previous prime is 1303132311281. The next prime is 1303132311427. The reversal of 1303132311330 is 331132313031.

It is a self number, because there is not a number n which added to its sum of digits gives 1303132311330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228897964 + ... + 228903656.

It is an arithmetic number, because the mean of its divisors is an integer number (25340942016).

Almost surely, 21303132311330 is an apocalyptic number.

1303132311330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303132311330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621820289024).

1303132311330 is an abundant number, since it is smaller than the sum of its proper divisors (1940508266718).

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

1303132311330 is a wasteful number, since it uses less digits than its factorization.

1303132311330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8240.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1303132311330 its reverse (331132313031), we get a palindrome (1634264624361).

The spelling of 1303132311330 in words is "one trillion, three hundred three billion, one hundred thirty-two million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 67 94 134 141 201 235 282 335 402 470 670 705 1005 1410 2010 2423 3149 4846 5693 6298 7269 9447 11386 12115 14538 15745 17079 18894 24230 28465 31490 34158 36345 47235 56930 72690 85395 94470 113881 162341 170790 227762 267571 324682 341643 381431 487023 535142 569405 683286 762862 802713 811705 974046 1138810 1144293 1337855 1605426 1623410 1708215 1907155 2288586 2435115 2675710 3416430 3814310 4013565 4870230 5721465 7630027 8027130 11442930 13794139 15260054 17927257 22890081 27588278 35854514 38150135 41382417 45780162 53781771 68970695 76300270 82764834 89636285 107563542 114450405 137941390 179272570 206912085 228900810 268908855 413824170 537817710 648324533 924207313 1296649066 1848414626 1944973599 2772621939 3241622665 3889947198 4621036565 5545243878 6483245330 9242073130 9724867995 13863109695 19449735990 27726219390 43437743711 86875487422 130313231133 217188718555 260626462266 434377437110 651566155665 1303132311330