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121142978153 is a prime number
BaseRepresentation
bin111000011010010101…
…1110010011001101001
3102120200122212220202122
41300310223302121221
53441100100300103
6131352522241025
711516015216141
oct1606453623151
9376618786678
10121142978153
114741606456a
121b58a656175
13b567c352c2
145c13071921
1532404cab38
hex1c34af2669

121142978153 has 2 divisors, whose sum is σ = 121142978154. Its totient is φ = 121142978152.

The previous prime is 121142978087. The next prime is 121142978219. The reversal of 121142978153 is 351879241121.

It is a balanced prime because it is at equal distance from previous prime (121142978087) and next prime (121142978219).

It can be written as a sum of positive squares in only one way, i.e., 120716638249 + 426339904 = 347443^2 + 20648^2 .

It is a cyclic number.

It is not a de Polignac number, because 121142978153 - 220 = 121141929577 is a prime.

It is a super-3 number, since 3×1211429781533 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (121142978053) 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, 60571489076 + 60571489077.

It is an arithmetic number, because the mean of its divisors is an integer number (60571489077).

Almost surely, 2121142978153 is an apocalyptic number.

It is an amenable number.

121142978153 is a deficient number, since it is larger than the sum of its proper divisors (1).

121142978153 is an equidigital number, since it uses as much as digits as its factorization.

121142978153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 44.

The spelling of 121142978153 in words is "one hundred twenty-one billion, one hundred forty-two million, nine hundred seventy-eight thousand, one hundred fifty-three".