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1020035129 = 31375915073
BaseRepresentation
bin111100110011001…
…000000000111001
32122002101011010212
4330303020000321
54042112111004
6245114520505
734164104231
oct7463100071
92562334125
101020035129
11483868543
12245736135
131334335a9
1499684cc1
155e83c96e
hex3ccc8039

1020035129 has 16 divisors (see below), whose sum is σ = 1099799040. Its totient is φ = 944110080.

The previous prime is 1020035117. The next prime is 1020035147. The reversal of 1020035129 is 9215300201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020035129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020035179) 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 15 ways as a sum of consecutive naturals, for example, 60137 + ... + 75209.

It is an arithmetic number, because the mean of its divisors is an integer number (68737440).

Almost surely, 21020035129 is an apocalyptic number.

It is an amenable number.

1020035129 is a deficient number, since it is larger than the sum of its proper divisors (79763911).

1020035129 is a wasteful number, since it uses less digits than its factorization.

1020035129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15200.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1020035129 is about 31937.9888064355. The cubic root of 1020035129 is about 1006.6342655219.

The spelling of 1020035129 in words is "one billion, twenty million, thirty-five thousand, one hundred twenty-nine".

Divisors: 1 31 37 59 1147 1829 2183 15073 67673 467263 557701 889307 17288731 27568517 32904359 1020035129