Search a number
-
+
101311231021 = 71121327893299
BaseRepresentation
bin101111001011010011…
…1101011010000101101
3100200111112221210001121
41132112213223100231
53124441133343041
6114313003140541
710214405153320
oct1362647532055
9320445853047
10101311231021
1139a69604400
1217774b14751
13972737a6a0
144c912667b7
15297e3e77d1
hex17969eb42d

101311231021 has 48 divisors (see below), whose sum is σ = 137147472000. Its totient is φ = 72823006080.

The previous prime is 101311231001. The next prime is 101311231039. The reversal of 101311231021 is 120132113101.

It is a happy number.

It is not a de Polignac number, because 101311231021 - 25 = 101311230989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101311230986 and 101311231004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311231001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30708030 + ... + 30711328.

It is an arithmetic number, because the mean of its divisors is an integer number (2857239000).

Almost surely, 2101311231021 is an apocalyptic number.

101311231021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101311231021 is a deficient number, since it is larger than the sum of its proper divisors (35836240979).

101311231021 is a wasteful number, since it uses less digits than its factorization.

101311231021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6130 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101311231021 its reverse (120132113101), we get a palindrome (221443344122).

The spelling of 101311231021 in words is "one hundred one billion, three hundred eleven million, two hundred thirty-one thousand, twenty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 2789 3299 11011 19523 23093 30679 36257 36289 42887 214753 253799 254023 300209 337469 398827 399179 471757 2362283 2791789 2794253 3302299 4387097 5189327 9200911 30709679 36325289 64406377 101210021 119611843 708470147 837282901 1113310231 1315730273 7793171617 9210111911 14473033003 101311231021