Search a number
-
+
122022100210110 = 2354723786106301
BaseRepresentation
bin11011101111101001111011…
…111100000001000110111110
3121000001012100222001212210220
4123233221323330001012332
5111443202230123210420
61111304102354042210
734462543252316532
oct3357517374010676
9530035328055726
10122022100210110
1135975311505a51
121182884a579366
1353118334cb339
14221bc88b07bc2
15e1911c958840
hex6efa7bf011be

122022100210110 has 32 divisors (see below), whose sum is σ = 292859243559072. Its totient is φ = 32538537494400.

The previous prime is 122022100210099. The next prime is 122022100210121. The reversal of 122022100210110 is 11012001220221.

It is an interprime number because it is at equal distance from previous prime (122022100210099) and next prime (122022100210121).

It is a super-2 number, since 2×1220221002101102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122022100210110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41636041 + ... + 44470260.

It is an arithmetic number, because the mean of its divisors is an integer number (9151851361221).

Almost surely, 2122022100210110 is an apocalyptic number.

122022100210110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122022100210110 is an abundant number, since it is smaller than the sum of its proper divisors (170837143348962).

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

122022100210110 is a wasteful number, since it uses less digits than its factorization.

122022100210110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86153548.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122022100210110 its reverse (11012001220221), we get a palindrome (133034101430331).

The spelling of 122022100210110 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred million, two hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47237 94474 141711 236185 283422 472370 708555 1417110 86106301 172212602 258318903 430531505 516637806 861063010 1291594515 2583189030 4067403340337 8134806680674 12202210021011 20337016701685 24404420042022 40674033403370 61011050105055 122022100210110