Search a number
-
+
2102313030012 = 2234133209155539
BaseRepresentation
bin11110100101111011100…
…111110001000101111100
321102222102210212021220000
4132211323213301011330
5233421014113430022
64245442252154300
7304613163624216
oct36457347610574
97388383767800
102102313030012
11740649997638
1229b538468990
1312332a32ba10
1473a76bb15b6
1539a4530e6ac
hex1e97b9f117c

2102313030012 has 120 divisors (see below), whose sum is σ = 5920502557200. Its totient is φ = 646659811584.

The previous prime is 2102313029963. The next prime is 2102313030061. The reversal of 2102313030012 is 2100303132012.

2102313030012 is a `hidden beast` number, since 210 + 23 + 130 + 300 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2102313029963) and next prime (2102313030061).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13438539 + ... + 13594077.

It is an arithmetic number, because the mean of its divisors is an integer number (49337521310).

Almost surely, 22102313030012 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 2102313030012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960251278600).

2102313030012 is an abundant number, since it is smaller than the sum of its proper divisors (3818189527188).

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

2102313030012 is a wasteful number, since it uses less digits than its factorization.

2102313030012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158777 (or 158766 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2102313030012 its reverse (2100303132012), we get a palindrome (4202616162024).

The spelling of 2102313030012 in words is "two trillion, one hundred two billion, three hundred thirteen million, thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 3209 4212 6418 9627 12836 19254 28881 38508 41717 57762 83434 86643 115524 125151 155539 166868 173286 250302 259929 311078 346572 375453 466617 500604 519858 622156 750906 933234 1039716 1126359 1399851 1501812 1866468 2022007 2252718 2799702 3379077 4044014 4199553 4505436 5599404 6066021 6758154 8088028 8399106 12132042 12598659 13516308 16798212 18198063 24264084 25197318 36396126 50394636 54594189 72792252 109188378 163782567 218376756 327565134 499124651 655130268 998249302 1497373953 1996498604 2994747906 4492121859 5989495812 6488620463 8984243718 12977240926 13476365577 17968487436 19465861389 25954481852 26952731154 38931722778 40429096731 53905462308 58397584167 77863445556 80858193462 116795168334 161716386924 175192752501 233590336668 350385505002 525578257503 700771010004 1051156515006 2102313030012