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1029292929301 = 72133041531353
BaseRepresentation
bin11101111101001101010…
…00111011000100010101
310122101210012020102012111
432332212220323010111
5113330442442214201
62104503423351021
7134235560354200
oct16764650730425
93571705212174
101029292929301
1136758003027a
12147598152471
13760a60170c0
1437b649d6937
151bb93272b51
hexefa6a3b115

1029292929301 has 24 divisors (see below), whose sum is σ = 1289870336664. Its totient is φ = 814116280320.

The previous prime is 1029292929233. The next prime is 1029292929307. The reversal of 1029292929301 is 1039292929201.

It can be written as a sum of positive squares in 4 ways, for example, as 590552288676 + 438740640625 = 768474^2 + 662375^2 .

It is not a de Polignac number, because 1029292929301 - 27 = 1029292929173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029292929307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671441 + ... + 2202793.

It is an arithmetic number, because the mean of its divisors is an integer number (53744597361).

Almost surely, 21029292929301 is an apocalyptic number.

It is an amenable number.

1029292929301 is a deficient number, since it is larger than the sum of its proper divisors (260577407363).

1029292929301 is a wasteful number, since it uses less digits than its factorization.

1029292929301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534421 (or 534414 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 49.

The spelling of 1029292929301 in words is "one trillion, twenty-nine billion, two hundred ninety-two million, nine hundred twenty-nine thousand, three hundred one".

Divisors: 1 7 13 49 91 637 3041 21287 39533 149009 276731 531353 1937117 3719471 6907589 26036297 48353123 338471861 1615844473 11310911311 21005978149 79176379177 147041847043 1029292929301