Search a number
-
+
122010220101 = 37112918213199
BaseRepresentation
bin111000110100001100…
…0000011011001000101
3102122221002202101001210
41301220120003121011
53444334104020401
6132014542242033
711546345521260
oct1615030033105
9378832671053
10122010220101
1147820652250
121b790b86319
13b6757cc513
145c96301cd7
1532916d64d6
hex1c68603645

122010220101 has 32 divisors (see below), whose sum is σ = 209816064000. Its totient is φ = 61196345280.

The previous prime is 122010220099. The next prime is 122010220103. The reversal of 122010220101 is 101022010221.

It is an interprime number because it is at equal distance from previous prime (122010220099) and next prime (122010220103).

It is not a de Polignac number, because 122010220101 - 21 = 122010220099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010220103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9099901 + ... + 9113298.

It is an arithmetic number, because the mean of its divisors is an integer number (6556752000).

Almost surely, 2122010220101 is an apocalyptic number.

122010220101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122010220101 is a deficient number, since it is larger than the sum of its proper divisors (87805843899).

122010220101 is a wasteful number, since it uses less digits than its factorization.

122010220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18213249.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122010220101 its reverse (101022010221), we get a palindrome (223032230322).

The spelling of 122010220101 in words is "one hundred twenty-two billion, ten million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 7 11 21 29 33 77 87 203 231 319 609 957 2233 6699 18213199 54639597 127492393 200345189 382477179 528182771 601035567 1402416323 1584548313 3697279397 4207248969 5810010481 11091838191 17430031443 40670073367 122010220101