Search a number
-
+
1012211101321 = 79721129324113
BaseRepresentation
bin11101011101011000111…
…10111010111010001001
310120202200201202122101221
432232230132322322021
5113041002020220241
62053000420442041
7133062351254350
oct16565436727211
93522621678357
101012211101321
11360304862072
1214420b549321
13745b30a3594
1436dc40d6997
151b4e37d55d1
hexebac7bae89

1012211101321 has 32 divisors (see below), whose sum is σ = 1178334275328. Its totient is φ = 851643555840.

The previous prime is 1012211101261. The next prime is 1012211101397. The reversal of 1012211101321 is 1231011122101.

It is a happy number.

It is not a de Polignac number, because 1012211101321 - 217 = 1012210970249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012211101295 and 1012211101304.

It is not an unprimeable number, because it can be changed into a prime (1012211102321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41965761 + ... + 41989873.

It is an arithmetic number, because the mean of its divisors is an integer number (36822946104).

Almost surely, 21012211101321 is an apocalyptic number.

It is an amenable number.

1012211101321 is a deficient number, since it is larger than the sum of its proper divisors (166123174007).

1012211101321 is a wasteful number, since it uses less digits than its factorization.

1012211101321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24721.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1012211101321 its reverse (1231011122101), we get a palindrome (2243222223422).

The spelling of 1012211101321 in words is "one trillion, twelve billion, two hundred eleven million, one hundred one thousand, three hundred twenty-one".

Divisors: 1 7 97 211 293 679 1477 2051 20467 24113 28421 61823 143269 168791 198947 432761 2338961 5087843 5996831 7065109 16372727 35614901 41977817 49455763 493520771 685315573 1490737999 3454645397 4797209011 10435165993 144601585903 1012211101321