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13100312230040 = 2357105894418437
BaseRepresentation
bin1011111010100010011101…
…1101001111100010011000
31201101101012021122210121202
42332220213131033202120
53204113414412330130
643510111135453332
72521315643444510
oct276504735174230
951341167583552
1013100312230040
1141a08a1802952
121576b18087248
1374047b088559
143340b6720840
1517ab80ee9145
hexbea2774f898

13100312230040 has 64 divisors (see below), whose sum is σ = 33689706062400. Its totient is φ = 4491110435328.

The previous prime is 13100312229997. The next prime is 13100312230079. The reversal of 13100312230040 is 4003221300131.

It is a super-3 number, since 3×131003122300403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13100312229994 and 13100312230021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755702 + ... + 5174138.

It is an arithmetic number, because the mean of its divisors is an integer number (526401657225).

Almost surely, 213100312230040 is an apocalyptic number.

13100312230040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100312230040 is an abundant number, since it is smaller than the sum of its proper divisors (20589393832360).

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

13100312230040 is a wasteful number, since it uses less digits than its factorization.

13100312230040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429044 (or 4429040 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13100312230040 its reverse (4003221300131), we get a palindrome (17103533530171).

The spelling of 13100312230040 in words is "thirteen trillion, one hundred billion, three hundred twelve million, two hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 10589 21178 42356 52945 74123 84712 105890 148246 211780 296492 370615 423560 592984 741230 1482460 2964920 4418437 8836874 17673748 22092185 30929059 35347496 44184370 61858118 88368740 123716236 154645295 176737480 247432472 309290590 618581180 1237162360 46786829393 93573658786 187147317572 233934146965 327507805751 374294635144 467868293930 655015611502 935736587860 1310031223004 1637539028755 1871473175720 2620062446008 3275078057510 6550156115020 13100312230040