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981221180153 is a prime number
BaseRepresentation
bin11100100011101010101…
…01110000001011111001
310110210200222202112110212
432101311111300023321
5112034020110231103
62030433343120505
7130614401263064
oct16216525601371
93423628675425
10981221180153
11349151859675
1213a200ba3135
13716b48bca16
14356c44058db
151a7ccd1b7d8
hexe4755702f9

981221180153 has 2 divisors, whose sum is σ = 981221180154. Its totient is φ = 981221180152.

The previous prime is 981221180119. The next prime is 981221180231. The reversal of 981221180153 is 351081122189.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 870513258169 + 110707921984 = 933013^2 + 332728^2 .

It is a cyclic number.

It is not a de Polignac number, because 981221180153 - 222 = 981216985849 is a prime.

It is a super-2 number, since 2×9812211801532 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 981221180153.

It is not a weakly prime, because it can be changed into another prime (981221180113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 490610590076 + 490610590077.

It is an arithmetic number, because the mean of its divisors is an integer number (490610590077).

Almost surely, 2981221180153 is an apocalyptic number.

It is an amenable number.

981221180153 is a deficient number, since it is larger than the sum of its proper divisors (1).

981221180153 is an equidigital number, since it uses as much as digits as its factorization.

981221180153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 41.

The spelling of 981221180153 in words is "nine hundred eighty-one billion, two hundred twenty-one million, one hundred eighty thousand, one hundred fifty-three".