Search a number
-
+
101320202033330 = 2572428977482021
BaseRepresentation
bin10111000010011001110010…
…101001101001100010110010
3111021202010011002100121101112
4113002121302221221202302
5101240012233210031310
6555253505214033322
730225100026234200
oct2702316251514262
9437663132317345
10101320202033330
112a3137246a9a85
12b44464a7a8842
13446c5b9734957
141b03cd1434070
15baa88706c705
hex5c2672a698b2

101320202033330 has 48 divisors (see below), whose sum is σ = 212153031187416. Its totient is φ = 34738201935360.

The previous prime is 101320202033327. The next prime is 101320202033341. The reversal of 101320202033330 is 33330202023101.

It can be written as a sum of positive squares in 4 ways, for example, as 56201965259209 + 45118236774121 = 7496797^2 + 6717011^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101320202033296 and 101320202033305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209957720 + ... + 210439740.

Almost surely, 2101320202033330 is an apocalyptic number.

101320202033330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101320202033330 is an abundant number, since it is smaller than the sum of its proper divisors (110832829154086).

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

101320202033330 is a wasteful number, since it uses less digits than its factorization.

101320202033330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911019 (or 911012 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 101320202033330 its reverse (33330202023101), we get a palindrome (134650404056431).

The spelling of 101320202033330 in words is "one hundred one trillion, three hundred twenty billion, two hundred two million, thirty-three thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 428977 482021 857954 964042 2144885 2410105 3002839 3374147 4289770 4820210 6005678 6748294 15014195 16870735 21019873 23619029 30028390 33741470 42039746 47238058 105099365 118095145 210198730 236190290 206775922517 413551845034 1033879612585 1447431457619 2067759225170 2894862915238 7237157288095 10132020203333 14474314576190 20264040406666 50660101016665 101320202033330