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12949000130 = 2511217629509
BaseRepresentation
bin11000000111101001…
…00000111111000010
31020102102211100210102
430003310200333002
5203004421001010
65540530002402
7635613453653
oct140364407702
936372740712
1012949000130
115545411500
122614716402
1312b4956471
148aba9152a
1550bc2aba5
hex303d20fc2

12949000130 has 48 divisors (see below), whose sum is σ = 27126844920. Its totient is φ = 4431736320.

The previous prime is 12949000063. The next prime is 12949000139. The reversal of 12949000130 is 3100094921.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12194564041 + 754436089 = 110429^2 + 27467^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12949000093 and 12949000102.

It is not an unprimeable number, because it can be changed into a prime (12949000139) 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, 294185 + ... + 335324.

Almost surely, 212949000130 is an apocalyptic number.

12949000130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12949000130 is an abundant number, since it is smaller than the sum of its proper divisors (14177844790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12949000130 is a wasteful number, since it uses less digits than its factorization.

12949000130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629555 (or 629544 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 12949000130 in words is "twelve billion, nine hundred forty-nine million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 374 605 935 1210 1870 2057 4114 10285 20570 629509 1259018 3147545 6295090 6924599 10701653 13849198 21403306 34622995 53508265 69245990 76170589 107016530 117718183 152341178 235436366 380852945 588590915 761705890 1177181830 1294900013 2589800026 6474500065 12949000130