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100311131329 is a prime number
BaseRepresentation
bin101110101101100000…
…0100110010011000001
3100120220212002110012021
41131123000212103001
53120414122200304
6114025435401441
710150542355633
oct1353300462301
9316825073167
10100311131329
11395a6022732
1217535bb3281
1395c8107016
144bd84d0a53
1529216e6a54
hex175b0264c1

100311131329 has 2 divisors, whose sum is σ = 100311131330. Its totient is φ = 100311131328.

The previous prime is 100311131303. The next prime is 100311131429. The reversal of 100311131329 is 923131113001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97938954304 + 2372177025 = 312952^2 + 48705^2 .

It is a cyclic number.

It is not a de Polignac number, because 100311131329 - 29 = 100311130817 is a prime.

It is not a weakly prime, because it can be changed into another prime (100311131429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50155565664 + 50155565665.

It is an arithmetic number, because the mean of its divisors is an integer number (50155565665).

Almost surely, 2100311131329 is an apocalyptic number.

It is an amenable number.

100311131329 is a deficient number, since it is larger than the sum of its proper divisors (1).

100311131329 is an equidigital number, since it uses as much as digits as its factorization.

100311131329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 100311131329 in words is "one hundred billion, three hundred eleven million, one hundred thirty-one thousand, three hundred twenty-nine".