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253416401129 is a prime number
BaseRepresentation
bin1110110000000011001…
…0110110100011101001
3220020010000200000102102
43230000302312203221
513122444044314004
6312230132543145
724210615603623
oct3540062664351
9806100600372
10253416401129
1198522a51a61
1241144781ab5
131ab87b08018
14c3a044bc13
1568d2c1111e
hex3b00cb68e9

253416401129 has 2 divisors, whose sum is σ = 253416401130. Its totient is φ = 253416401128.

The previous prime is 253416401113. The next prime is 253416401191. The reversal of 253416401129 is 921104614352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172619475625 + 80796925504 = 415475^2 + 284248^2 .

It is a cyclic number.

It is not a de Polignac number, because 253416401129 - 24 = 253416401113 is a prime.

It is a super-2 number, since 2×2534164011292 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253416401092 and 253416401101.

It is not a weakly prime, because it can be changed into another prime (253416421129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126708200564 + 126708200565.

It is an arithmetic number, because the mean of its divisors is an integer number (126708200565).

Almost surely, 2253416401129 is an apocalyptic number.

It is an amenable number.

253416401129 is a deficient number, since it is larger than the sum of its proper divisors (1).

253416401129 is an equidigital number, since it uses as much as digits as its factorization.

253416401129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 253416401129 in words is "two hundred fifty-three billion, four hundred sixteen million, four hundred one thousand, one hundred twenty-nine".