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13054115100 = 223521329115421
BaseRepresentation
bin11000010100001010…
…11111110100011100
31020200202121202102110
430022011133310130
5203213323140400
65555202554020
7641331101415
oct141205376434
936622552373
1013054115100
115599786984
122643968910
13130066b180
148bba1480c
15516090e50
hex30a15fd1c

13054115100 has 144 divisors (see below), whose sum is σ = 42078244320. Its totient is φ = 3102489600.

The previous prime is 13054115093. The next prime is 13054115111. The reversal of 13054115100 is 151145031.

It is a happy number.

13054115100 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 47 ways as a sum of consecutive naturals, for example, 55390 + ... + 170810.

It is an arithmetic number, because the mean of its divisors is an integer number (292210030).

Almost surely, 213054115100 is an apocalyptic number.

13054115100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13054115100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21039122160).

13054115100 is an abundant number, since it is smaller than the sum of its proper divisors (29024129220).

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

13054115100 is a wasteful number, since it uses less digits than its factorization.

13054115100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115480 (or 115473 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The spelling of 13054115100 in words is "thirteen billion, fifty-four million, one hundred fifteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 29 30 39 50 52 58 60 65 75 78 87 100 116 130 145 150 156 174 195 260 290 300 325 348 377 390 435 580 650 725 754 780 870 975 1131 1300 1450 1508 1740 1885 1950 2175 2262 2900 3770 3900 4350 4524 5655 7540 8700 9425 11310 18850 22620 28275 37700 56550 113100 115421 230842 346263 461684 577105 692526 1154210 1385052 1500473 1731315 2308420 2885525 3000946 3347209 3462630 4501419 5771050 6001892 6694418 6925260 7502365 8656575 9002838 10041627 11542100 13388836 15004730 16736045 17313150 18005676 20083254 22507095 30009460 33472090 34626300 37511825 40166508 43513717 45014190 50208135 66944180 75023650 83680225 87027434 90028380 100416270 112535475 130541151 150047300 167360450 174054868 200832540 217568585 225070950 251040675 261082302 334720900 435137170 450141900 502081350 522164604 652705755 870274340 1004162700 1087842925 1305411510 2175685850 2610823020 3263528775 4351371700 6527057550 13054115100