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2220129021221 is a prime number
BaseRepresentation
bin100000010011101010000…
…000000110110100100101
321212020112121102202112222
4200103222000012310211
5242333311012134341
64415525125522125
7316253603212106
oct40235200066445
97766477382488
102220129021221
11786607a54611
122ba338873345
13131484bc3297
14796520403ad
153cb3d6a644b
hex204ea006d25

2220129021221 has 2 divisors, whose sum is σ = 2220129021222. Its totient is φ = 2220129021220.

The previous prime is 2220129021197. The next prime is 2220129021239. The reversal of 2220129021221 is 1221209210222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2212317112996 + 7811908225 = 1487386^2 + 88385^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220129021221 - 214 = 2220129004837 is a prime.

It is a super-3 number, since 3×22201290212213 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220129021241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110064510610 + 1110064510611.

It is an arithmetic number, because the mean of its divisors is an integer number (1110064510611).

Almost surely, 22220129021221 is an apocalyptic number.

It is an amenable number.

2220129021221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220129021221 is an equidigital number, since it uses as much as digits as its factorization.

2220129021221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 2220129021221 in words is "two trillion, two hundred twenty billion, one hundred twenty-nine million, twenty-one thousand, two hundred twenty-one".