Search a number
-
+
101302221110120 = 23529173807502451
BaseRepresentation
bin10111000010001001000010…
…111001110111101101101000
3111021200101201222002001210122
4113002021002321313231220
5101234213422101010440
6555241333052302412
730223562322014432
oct2702110271675550
9437611658061718
10101302221110120
112a307037967268
12b441070a71a08
13446a9b2453514
141b030a7371652
15baa1836d17b5
hex5c2242e77b68

101302221110120 has 64 divisors (see below), whose sum is σ = 235791478483200. Its totient is φ = 39123313465600.

The previous prime is 101302221110087. The next prime is 101302221110131. The reversal of 101302221110120 is 21011122203101.

It is a happy number.

101302221110120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201364895 + ... + 201867345.

It is an arithmetic number, because the mean of its divisors is an integer number (3684241851300).

Almost surely, 2101302221110120 is an apocalyptic number.

101302221110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101302221110120 is an abundant number, since it is smaller than the sum of its proper divisors (134489257373080).

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

101302221110120 is a wasteful number, since it uses less digits than its factorization.

101302221110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676298 (or 676294 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101302221110120 its reverse (21011122203101), we get a palindrome (122313343313221).

The spelling of 101302221110120 in words is "one hundred one trillion, three hundred two billion, two hundred twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 173807 347614 502451 695228 869035 1004902 1390456 1738070 2009804 2512255 3476140 4019608 5024510 5040403 6952280 10049020 10080806 14571079 20098040 20161612 25202015 29142158 40323224 50404030 58284316 72855395 100808060 116568632 145710790 201616120 291421580 582843160 87329500957 174659001914 349318003828 436647504785 698636007656 873295009570 1746590019140 2532555527753 3493180038280 5065111055506 10130222111012 12662777638765 20260444222024 25325555277530 50651110555060 101302221110120