Search a number
-
+
101122002211 = 7313123414517
BaseRepresentation
bin101111000101101010…
…1110100110100100011
3100200000100212221221011
41132023111310310203
53124044213032321
6114242123241351
710206616556656
oct1361325646443
9320010787834
10101122002211
1139981808a5a
1217721679257
1396c70c4c89
144c7408989d
15296c9b9ae1
hex178b574d23

101122002211 has 16 divisors (see below), whose sum is σ = 103356731808. Its totient is φ = 98911238400.

The previous prime is 101122002127. The next prime is 101122002227. The reversal of 101122002211 is 112200221101.

It is a cyclic number.

It is not a de Polignac number, because 101122002211 - 231 = 98974518563 is a prime.

It is a super-2 number, since 2×1011220022112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101122002191 and 101122002200.

It is not an unprimeable number, because it can be changed into a prime (101122002281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22384725 + ... + 22389241.

It is an arithmetic number, because the mean of its divisors is an integer number (6459795738).

Almost surely, 2101122002211 is an apocalyptic number.

101122002211 is a deficient number, since it is larger than the sum of its proper divisors (2234729597).

101122002211 is a wasteful number, since it uses less digits than its factorization.

101122002211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7062.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101122002211 its reverse (112200221101), we get a palindrome (213322223312).

The spelling of 101122002211 in words is "one hundred one billion, one hundred twenty-two million, two thousand, two hundred eleven".

Divisors: 1 73 131 2341 4517 9563 170893 306671 329741 591727 10574297 22386983 43196071 771923681 1385232907 101122002211