Search a number
-
+
310313301030330 = 235136833319135099
BaseRepresentation
bin100011010001110100111001…
…0000100111011010110111010
31111200201122212111100012212120
41012203221302010323112322
5311133133120030432310
63015551543521422110
7122235252611015103
oct10643516204732672
91450648774305776
10310313301030330
118a96a14a642794
122a97896879a936
131041c559c2c690
14568b35b3d33aa
1525d1e63a26b70
hex11a3a7213b5ba

310313301030330 has 128 divisors (see below), whose sum is σ = 803261907302400. Its totient is φ = 76268504336640.

The previous prime is 310313301030277. The next prime is 310313301030331. The reversal of 310313301030330 is 33030103313013.

It is a self number, because there is not a number n which added to its sum of digits gives 310313301030330.

It is not an unprimeable number, because it can be changed into a prime (310313301030331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8841069121 + ... + 8841104219.

It is an arithmetic number, because the mean of its divisors is an integer number (6275483650800).

Almost surely, 2310313301030330 is an apocalyptic number.

310313301030330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 310313301030330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401630953651200).

310313301030330 is an abundant number, since it is smaller than the sum of its proper divisors (492948606272070).

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

310313301030330 is a wasteful number, since it uses less digits than its factorization.

310313301030330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68996.

The product of its (nonzero) digits is 2187, while the sum is 24.

Adding to 310313301030330 its reverse (33030103313013), we get a palindrome (343343404343343).

The spelling of 310313301030330 in words is "three hundred ten trillion, three hundred thirteen billion, three hundred one million, thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 683 1366 2049 3415 4098 6830 8879 10245 17758 20490 26637 33191 35099 44395 53274 66382 70198 88790 99573 105297 133185 165955 175495 199146 210594 266370 331910 350990 431483 456287 497865 526485 862966 912574 995730 1052970 1294449 1368861 2157415 2281435 2588898 2737722 4314830 4562870 6472245 6844305 12944490 13688610 22669453 23972617 45338906 47945234 68008359 71917851 113347265 119863085 136016718 143835702 226694530 239726170 294702889 311644021 340041795 359589255 589405778 623288042 680083590 719178510 884108667 934932063 1164970909 1473514445 1558220105 1768217334 1869864126 2329941818 2947028890 3116440210 3494912727 4420543335 4674660315 5824854545 6989825454 8841086670 9349320630 11649709090 15144621817 17474563635 30289243634 34949127270 45433865451 75723109085 90867730902 151446218170 227169327255 454338654510 795675130847 1591350261694 2387025392541 3978375654235 4774050785082 7956751308470 10343776701011 11935126962705 20687553402022 23870253925410 31031330103033 51718883505055 62062660206066 103437767010110 155156650515165 310313301030330