Search a number
-
+
122201021330130 = 2357029375794783
BaseRepresentation
bin11011110010010000100100…
…011101111011001011010010
3121000200022012021201111221210
4123302100210131323023102
5112004120142430031010
61111522212454400550
734511506140616131
oct3362204435731322
9530608167644853
10122201021330130
1135a34186848686
1211857462960156
135325678778062
1422267bd501918
15e1dae059db20
hex6f242477b2d2

122201021330130 has 32 divisors (see below), whose sum is σ = 293282919028224. Its totient is φ = 32586887039616.

The previous prime is 122201021330117. The next prime is 122201021330231. The reversal of 122201021330130 is 31033120102221.

122201021330130 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1222010213301302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122201021330097 and 122201021330106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18190719 + ... + 23985501.

It is an arithmetic number, because the mean of its divisors is an integer number (9165091219632).

Almost surely, 2122201021330130 is an apocalyptic number.

122201021330130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122201021330130 is an abundant number, since it is smaller than the sum of its proper divisors (171081897698094).

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

122201021330130 is a wasteful number, since it uses less digits than its factorization.

122201021330130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6497730.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122201021330130 its reverse (31033120102221), we get a palindrome (153234141432351).

The spelling of 122201021330130 in words is "one hundred twenty-two trillion, two hundred one billion, twenty-one million, three hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 702937 1405874 2108811 3514685 4217622 5794783 7029370 10544055 11589566 17384349 21088110 28973915 34768698 57947830 86921745 173843490 4073367377671 8146734755342 12220102133013 20366836888355 24440204266026 40733673776710 61100510665065 122201021330130