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153021213029 is a prime number
BaseRepresentation
bin1000111010000011000…
…1100110100101100101
3112121222022102001000102
42032200301212211211
510001341412304104
6154144051353445
714025002564336
oct2164061464545
9477868361012
10153021213029
1159994538223
12257a65b2885
1311578480289
147598b1a28d
153ea8e63a1e
hex23a0c66965

153021213029 has 2 divisors, whose sum is σ = 153021213030. Its totient is φ = 153021213028.

The previous prime is 153021212999. The next prime is 153021213091. The reversal of 153021213029 is 920312120351.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80120133025 + 72901080004 = 283055^2 + 270002^2 .

It is a cyclic number.

It is not a de Polignac number, because 153021213029 - 224 = 153004435813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 153021212992 and 153021213010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153021213329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76510606514 + 76510606515.

It is an arithmetic number, because the mean of its divisors is an integer number (76510606515).

Almost surely, 2153021213029 is an apocalyptic number.

It is an amenable number.

153021213029 is a deficient number, since it is larger than the sum of its proper divisors (1).

153021213029 is an equidigital number, since it uses as much as digits as its factorization.

153021213029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 153021213029 in words is "one hundred fifty-three billion, twenty-one million, two hundred thirteen thousand, twenty-nine".