Search a number
-
+
10221223213033 = 727139726875051
BaseRepresentation
bin1001010010111101000001…
…1000001111011111101001
31100012010202121201212101221
42110233100120033133221
52314431031120304113
633423322022142041
72103313303544050
oct224572030173751
940163677655357
1010221223213033
1132908840452a8
121190b36b81921
13591b1b3b3501
142749d1b49397
1512ad2670698d
hex94bd060f7e9

10221223213033 has 32 divisors (see below), whose sum is σ = 11760737845248. Its totient is φ = 8701769736000.

The previous prime is 10221223213021. The next prime is 10221223213037. The reversal of 10221223213033 is 33031232212201.

It is a cyclic number.

It is not a de Polignac number, because 10221223213033 - 237 = 10083784259561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221223212989 and 10221223213007.

It is not an unprimeable number, because it can be changed into a prime (10221223213037) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2023601358 + ... + 2023606408.

It is an arithmetic number, because the mean of its divisors is an integer number (367523057664).

Almost surely, 210221223213033 is an apocalyptic number.

It is an amenable number.

10221223213033 is a deficient number, since it is larger than the sum of its proper divisors (1539514632215).

10221223213033 is a wasteful number, since it uses less digits than its factorization.

10221223213033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10221223213033 its reverse (33031232212201), we get a palindrome (43252455425234).

The spelling of 10221223213033 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-three million, two hundred thirteen thousand, thirty-three".

Divisors: 1 7 271 397 1897 2687 2779 5051 18809 35357 107587 728177 753109 1066739 1368821 2005247 5097239 7467173 9581747 13572037 14036729 95004259 289086269 543421937 2023603883 3678022027 3803953559 5388098689 25746154189 37716690823 1460174744719 10221223213033