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2354100029 is a prime number
BaseRepresentation
bin1000110001010000…
…1011011100111101
320002001122200010222
42030110023130331
514310122200104
61025332311125
7112223343251
oct21424133475
96061580128
102354100029
11aa8912216
125584724a5
132b69377c8
14184912261
15dba0b1be
hex8c50b73d

2354100029 has 2 divisors, whose sum is σ = 2354100030. Its totient is φ = 2354100028.

The previous prime is 2354100013. The next prime is 2354100043. The reversal of 2354100029 is 9200014532.

2354100029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1993176025 + 360924004 = 44645^2 + 18998^2 .

It is a cyclic number.

It is not a de Polignac number, because 2354100029 - 24 = 2354100013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2354099980 and 2354100007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2354103029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1177050014 + 1177050015.

It is an arithmetic number, because the mean of its divisors is an integer number (1177050015).

Almost surely, 22354100029 is an apocalyptic number.

It is an amenable number.

2354100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2354100029 is an equidigital number, since it uses as much as digits as its factorization.

2354100029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2354100029 is about 48519.0687153000. The cubic root of 2354100029 is about 1330.2756375590.

The spelling of 2354100029 in words is "two billion, three hundred fifty-four million, one hundred thousand, twenty-nine".