Search a number
-
+
122100222101 = 11131944939353
BaseRepresentation
bin111000110110110111…
…1011000100010010101
3102200011101002221121012
41301231233120202111
54000030124101401
6132031515302005
711551520522624
oct1615557304225
9380141087535
10122100222101
1147867435070
121b7b714a905
13b68b352340
145ca424d6bb
1532995638bb
hex1c6dbd8895

122100222101 has 16 divisors (see below), whose sum is σ = 150996229440. Its totient is φ = 97069000320.

The previous prime is 122100222073. The next prime is 122100222113. The reversal of 122100222101 is 101222001221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122100222101 is a prime.

It is a super-2 number, since 2×1221002221012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100222121) 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, 22466960 + ... + 22472393.

It is an arithmetic number, because the mean of its divisors is an integer number (9437264340).

Almost surely, 2122100222101 is an apocalyptic number.

122100222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100222101 is a deficient number, since it is larger than the sum of its proper divisors (28896007339).

122100222101 is a wasteful number, since it uses less digits than its factorization.

122100222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44939396.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122100222101 its reverse (101222001221), we get a palindrome (223322223322).

The spelling of 122100222101 in words is "one hundred twenty-two billion, one hundred million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 11 13 19 143 209 247 2717 44939353 494332883 584211589 853847707 6426327479 9392324777 11100020191 122100222101