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1010023829 is a prime number
BaseRepresentation
bin111100001100111…
…011110110010101
32121101112112012222
4330030323312111
54032031230304
6244120152125
734013026613
oct7414736625
92541475188
101010023829
1147914a941
12242308645
13131339849
14981da6b3
155da114be
hex3c33bd95

1010023829 has 2 divisors, whose sum is σ = 1010023830. Its totient is φ = 1010023828.

The previous prime is 1010023823. The next prime is 1010023841. The reversal of 1010023829 is 9283200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 858783025 + 151240804 = 29305^2 + 12298^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010023829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010023798 and 1010023807.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010023823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505011914 + 505011915.

It is an arithmetic number, because the mean of its divisors is an integer number (505011915).

Almost surely, 21010023829 is an apocalyptic number.

It is an amenable number.

1010023829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010023829 is an equidigital number, since it uses as much as digits as its factorization.

1010023829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1010023829 is about 31780.8720616663. The cubic root of 1010023829 is about 1003.3301739641.

The spelling of 1010023829 in words is "one billion, ten million, twenty-three thousand, eight hundred twenty-nine".