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22101220153 is a prime number
BaseRepresentation
bin10100100101010101…
…011101101100111001
32010001021100022102101
4110211111131230321
5330230403021103
614053025503401
71411455162115
oct244525355471
963037308371
1022101220153
119411620901
1243497a1b61
132112b01c7c
1410d93ac745
15895474a1d
hex52555db39

22101220153 has 2 divisors, whose sum is σ = 22101220154. Its totient is φ = 22101220152.

The previous prime is 22101220129. The next prime is 22101220157. The reversal of 22101220153 is 35102210122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21605178169 + 496041984 = 146987^2 + 22272^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101220153 - 29 = 22101219641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22101220153.

It is not a weakly prime, because it can be changed into another prime (22101220157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050610076 + 11050610077.

It is an arithmetic number, because the mean of its divisors is an integer number (11050610077).

Almost surely, 222101220153 is an apocalyptic number.

It is an amenable number.

22101220153 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101220153 is an equidigital number, since it uses as much as digits as its factorization.

22101220153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 22101220153 its reverse (35102210122), we get a palindrome (57203430275).

It can be divided in two parts, 221012 and 20153, that added together give a triangular number (241165 = T694).

The spelling of 22101220153 in words is "twenty-two billion, one hundred one million, two hundred twenty thousand, one hundred fifty-three".