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153540112129 is a prime number
BaseRepresentation
bin1000111011111110110…
…1000010111100000001
3112200022110210211202121
42032333231002330001
510003422232042004
6154311345244241
714043603263605
oct2167755027401
9480273724677
10153540112129
115a130432858
1225910333681
131162bb21671
1476079d1505
153ed97b1854
hex23bfb42f01

153540112129 has 2 divisors, whose sum is σ = 153540112130. Its totient is φ = 153540112128.

The previous prime is 153540112109. The next prime is 153540112139. The reversal of 153540112129 is 921211045351.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104600496400 + 48939615729 = 323420^2 + 221223^2 .

It is a cyclic number.

It is not a de Polignac number, because 153540112129 - 29 = 153540111617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 153540112094 and 153540112103.

It is not a weakly prime, because it can be changed into another prime (153540112109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76770056064 + 76770056065.

It is an arithmetic number, because the mean of its divisors is an integer number (76770056065).

Almost surely, 2153540112129 is an apocalyptic number.

It is an amenable number.

153540112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

153540112129 is an equidigital number, since it uses as much as digits as its factorization.

153540112129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 153540112129 in words is "one hundred fifty-three billion, five hundred forty million, one hundred twelve thousand, one hundred twenty-nine".