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2117640029 is a prime number
BaseRepresentation
bin111111000111000…
…1001111101011101
312110120201021000012
41332032021331131
513314103440104
6550044213005
7103322433431
oct17616117535
95416637005
102117640029
1199739732a
124b123a165
1327995604b
1416135c9c1
15c5d9dd6e
hex7e389f5d

2117640029 has 2 divisors, whose sum is σ = 2117640030. Its totient is φ = 2117640028.

The previous prime is 2117639959. The next prime is 2117640047. The reversal of 2117640029 is 9200467112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1312612900 + 805027129 = 36230^2 + 28373^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2117640029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2117639977 and 2117640004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2117640829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058820014 + 1058820015.

It is an arithmetic number, because the mean of its divisors is an integer number (1058820015).

Almost surely, 22117640029 is an apocalyptic number.

It is an amenable number.

2117640029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117640029 is an equidigital number, since it uses as much as digits as its factorization.

2117640029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 2117640029 is about 46017.8229493747. The cubic root of 2117640029 is about 1284.1547993621.

The spelling of 2117640029 in words is "two billion, one hundred seventeen million, six hundred forty thousand, twenty-nine".