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12938125300 = 22522574791051
BaseRepresentation
bin11000000110010110…
…00001111111110100
31020101200100212022221
430003023001333310
5202444130002200
65535500532124
7635422151632
oct140313017764
936350325287
1012938125300
11553a264041
122610b51044
1312b2619659
148aa460352
1550accd91a
hex3032c1ff4

12938125300 has 72 divisors (see below), whose sum is σ = 28270690560. Its totient is φ = 5139456000.

The previous prime is 12938125283. The next prime is 12938125379. The reversal of 12938125300 is 352183921.

12938125300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12309775 + ... + 12310825.

It is an arithmetic number, because the mean of its divisors is an integer number (392648480).

Almost surely, 212938125300 is an apocalyptic number.

12938125300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12938125300 is an abundant number, since it is smaller than the sum of its proper divisors (15332565260).

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

12938125300 is a wasteful number, since it uses less digits than its factorization.

12938125300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 12938125300 in words is "twelve billion, nine hundred thirty-eight million, one hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 257 479 514 958 1028 1051 1285 1916 2102 2395 2570 4204 4790 5140 5255 6425 9580 10510 11975 12850 21020 23950 25700 26275 47900 52550 105100 123103 246206 270107 492412 503429 540214 615515 1006858 1080428 1231030 1350535 2013716 2462060 2517145 2701070 3077575 5034290 5402140 6155150 6752675 10068580 12310300 12585725 13505350 25171450 27010700 50342900 129381253 258762506 517525012 646906265 1293812530 2587625060 3234531325 6469062650 12938125300