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20530431129 = 313329372903
BaseRepresentation
bin10011000111101101…
…011000010010011001
31221222210121221222010
4103013231120102121
5314021242244004
613233114220133
71324522533225
oct230755302231
957883557863
1020530431129
11878599085a
123b8b724649
131c22556000
14dca91d785
158025e5a89
hex4c7b58499

20530431129 has 64 divisors (see below), whose sum is σ = 31516531200. Its totient is φ = 11864676096.

The previous prime is 20530431109. The next prime is 20530431169. The reversal of 20530431129 is 92113403502.

It is not a de Polignac number, because 20530431129 - 27 = 20530431001 is a prime.

It is a super-2 number, since 2×205304311292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20530431096 and 20530431105.

It is not an unprimeable number, because it can be changed into a prime (20530431109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7070692 + ... + 7073594.

It is an arithmetic number, because the mean of its divisors is an integer number (492445800).

Almost surely, 220530431129 is an apocalyptic number.

20530431129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

20530431129 is a deficient number, since it is larger than the sum of its proper divisors (10986100071).

20530431129 is a wasteful number, since it uses less digits than its factorization.

20530431129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 20530431129 in words is "twenty billion, five hundred thirty million, four hundred thirty-one thousand, one hundred twenty-nine".

Divisors: 1 3 13 29 37 39 87 111 169 377 481 507 1073 1131 1443 2197 2903 3219 4901 6253 6591 8709 13949 14703 18759 37739 41847 63713 81289 84187 107411 113217 181337 191139 243867 252561 322233 490607 544011 1094431 1396343 1471821 2357381 3114919 3283293 4189029 6377891 7072143 9344757 14227603 18152459 19133673 40493947 42682809 54457377 121481841 184958839 235981967 526421311 554876517 707945901 1579263933 6843477043 20530431129