Search a number
-
+
102211022033 = 314317649953
BaseRepresentation
bin101111100110001000…
…0000110110011010001
3100202211021001220021122
41133030100012303101
53133312010201113
6114542144532025
710245612231611
oct1371420066321
9322737056248
10102211022033
113a39050373a
1217986321015
13983b8ccbc3
144d3896aa41
1529d33d2408
hex17cc406cd1

102211022033 has 8 divisors (see below), whose sum is σ = 105752964096. Its totient is φ = 98684380800.

The previous prime is 102211022009. The next prime is 102211022057. The reversal of 102211022033 is 330220112201.

It is an interprime number because it is at equal distance from previous prime (102211022009) and next prime (102211022057).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102211022033 is a prime.

It is a super-2 number, since 2×1022110220332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102211022083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3811616 + ... + 3838337.

It is an arithmetic number, because the mean of its divisors is an integer number (13219120512).

Almost surely, 2102211022033 is an apocalyptic number.

It is an amenable number.

102211022033 is a deficient number, since it is larger than the sum of its proper divisors (3541942063).

102211022033 is an equidigital number, since it uses as much as digits as its factorization.

102211022033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650415.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102211022033 its reverse (330220112201), we get a palindrome (432431134234).

The spelling of 102211022033 in words is "one hundred two billion, two hundred eleven million, twenty-two thousand, thirty-three".

Divisors: 1 31 431 13361 7649953 237148543 3297129743 102211022033