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10003022029 = 7111315166179
BaseRepresentation
bin10010101000011101…
…00000000011001101
3221211010110011120101
421110032200003031
5130441233201104
64332331251101
7502612166350
oct112416400315
927733404511
1010003022029
114273499560
121b31ba9a91
13c35507b60
146ac70c297
153d82a85a4
hex2543a00cd

10003022029 has 32 divisors (see below), whose sum is σ = 13519779840. Its totient is φ = 7147224000.

The previous prime is 10003022021. The next prime is 10003022041. The reversal of 10003022029 is 92022030001.

It is a happy number.

It is not a de Polignac number, because 10003022029 - 23 = 10003022021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10003021997 and 10003022015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003022021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118062 + ... + 184240.

It is an arithmetic number, because the mean of its divisors is an integer number (422493120).

Almost surely, 210003022029 is an apocalyptic number.

It is an amenable number.

10003022029 is a deficient number, since it is larger than the sum of its proper divisors (3516757811).

10003022029 is a wasteful number, since it uses less digits than its factorization.

10003022029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66361.

The product of its (nonzero) digits is 216, while the sum is 19.

The spelling of 10003022029 in words is "ten billion, three million, twenty-two thousand, twenty-nine".

Divisors: 1 7 11 13 77 91 143 151 1001 1057 1661 1963 11627 13741 21593 66179 151151 463253 727969 860327 5095783 6022289 9463597 9993029 66245179 69951203 109923319 129909377 769463233 909365639 1429003147 10003022029