Search a number
-
+
112811960625 = 3547133531873
BaseRepresentation
bin110100100010000011…
…1011110100100110001
3101210012001121101011220
41221010013132210301
53322014330220000
6123454115455253
711102404562250
oct1510407364461
9353161541156
10112811960625
1143930457811
1219a445b7529
13a83ac54230
14566283c797
152e03de61a0
hex1a441de931

112811960625 has 160 divisors (see below), whose sum is σ = 232114299648. Its totient is φ = 47443968000.

The previous prime is 112811960557. The next prime is 112811960629. The reversal of 112811960625 is 526069118211.

It is not a de Polignac number, because 112811960625 - 28 = 112811960369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112811960629) 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 159 ways as a sum of consecutive naturals, for example, 60229689 + ... + 60231561.

Almost surely, 2112811960625 is an apocalyptic number.

112811960625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112811960625 is an abundant number, since it is smaller than the sum of its proper divisors (119302339023).

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

112811960625 is a wasteful number, since it uses less digits than its factorization.

112811960625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 112811960625 in words is "one hundred twelve billion, eight hundred eleven million, nine hundred sixty thousand, six hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 125 175 195 273 325 353 375 455 525 625 875 975 1059 1365 1625 1765 1873 1875 2275 2471 2625 4375 4589 4875 5295 5619 6825 7413 8125 8825 9365 11375 12355 13111 13125 13767 22945 24349 24375 26475 28095 32123 34125 37065 39333 44125 46825 56875 61775 65555 68835 73047 96369 114725 121745 132375 140475 160615 170443 170625 185325 196665 220625 234125 308875 327775 344175 365235 481845 511329 573625 608725 661169 661875 702375 803075 852215 926625 983325 1170625 1544375 1638875 1720875 1826175 1983507 2409225 2556645 2868125 3043625 3305845 3511875 4015375 4261075 4628183 4633125 4916625 8194375 8595197 8604375 9130875 9917535 12046125 12783225 13884549 15218125 16529225 20076875 21305375 23140915 24583125 25785591 42975985 45654375 49587675 60166379 60230625 63916125 69422745 82646125 106526875 115704575 128927955 180499137 214879925 247938375 300831895 319580625 347113725 413230625 578522875 644639775 902495685 1074399625 1239691875 1504159475 1735568625 2892614375 3223198875 4512478425 5371998125 7520797375 8677843125 16115994375 22562392125 37603986875 112811960625