Search a number
-
+
122100302214 = 23211953647081
BaseRepresentation
bin111000110110110111…
…1101100000110000110
3102200011101021000111100
41301231233230012012
54000030134132324
6132031521120530
711551521305322
oct1615557540606
9380141230440
10122100302214
114786748a280
121b7b7189146
13b68b37c947
145ca4270982
15329957c4c9
hex1c6dbec186

122100302214 has 48 divisors (see below), whose sum is σ = 288903994704. Its totient is φ = 36961209600.

The previous prime is 122100302213. The next prime is 122100302287. The reversal of 122100302214 is 412203001221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100302213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134847 + ... + 512234.

It is an arithmetic number, because the mean of its divisors is an integer number (6018833223).

Almost surely, 2122100302214 is an apocalyptic number.

122100302214 is an abundant number, since it is smaller than the sum of its proper divisors (166803692490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122100302214 is a wasteful number, since it uses less digits than its factorization.

122100302214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648053 (or 648050 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122100302214 its reverse (412203001221), we get a palindrome (534303303435).

The spelling of 122100302214 in words is "one hundred twenty-two billion, one hundred million, three hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 953 1906 2859 5718 8577 10483 17154 20966 31449 62898 94347 188694 647081 1294162 1941243 3882486 5823729 7117891 11647458 14235782 21353673 42707346 64061019 128122038 616668193 1233336386 1850004579 3700009158 5550013737 6783350123 11100027474 13566700246 20350050369 40700100738 61050151107 122100302214