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1032010232029 = 71724130740529
BaseRepresentation
bin11110000010010001001…
…10100111000011011101
310122122210120022200210021
433001020212213003131
5113402024104411104
62110033212512141
7134363114143450
oct17011046470335
93578716280707
101032010232029
11368744965007
1214801617b651
1376419c7b33a
1437d41851497
151bca1ac4754
hexf0489a70dd

1032010232029 has 48 divisors (see below), whose sum is σ = 1287671172480. Its totient is φ = 809574359040.

The previous prime is 1032010232023. The next prime is 1032010232059. The reversal of 1032010232029 is 9202320102301.

It is not a de Polignac number, because 1032010232029 - 231 = 1029862748381 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1032010231994 and 1032010232012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032010232023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25443237 + ... + 25483765.

It is an arithmetic number, because the mean of its divisors is an integer number (26826482760).

Almost surely, 21032010232029 is an apocalyptic number.

It is an amenable number.

1032010232029 is a deficient number, since it is larger than the sum of its proper divisors (255660940451).

1032010232029 is a wasteful number, since it uses less digits than its factorization.

1032010232029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40918 (or 40901 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 1032010232029 in words is "one trillion, thirty-two billion, ten million, two hundred thirty-two thousand, twenty-nine".

Divisors: 1 7 17 41 119 287 289 307 697 2023 2149 4879 5219 11849 12587 36533 40529 82943 88109 88723 213979 283703 621061 688993 1497853 1661689 3637643 4822951 11631823 11712881 12442403 25463501 28248713 81990167 87096821 197740991 211520851 480228121 510138523 1480645957 3361596847 3570969661 3595854467 8672354891 25170981269 60706484237 147430033147 1032010232029