Search a number
-
+
13103121101100 = 22352241181232657
BaseRepresentation
bin1011111010101100111011…
…1000001111000100101100
31201101122110001001020100020
42332223032320033010230
53204140143000213400
643511253555402140
72521445361451122
oct276531670170454
951348401036306
1013103121101100
1141a200329a298
1215775808b3350
13740807ca0534
143342a17b3912
1517ac978d72a0
hexbeacee0f12c

13103121101100 has 72 divisors (see below), whose sum is σ = 38069007208848. Its totient is φ = 3479666995200.

The previous prime is 13103121101047. The next prime is 13103121101137. The reversal of 13103121101100 is 110112130131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13103121101100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90544029 + ... + 90688628.

It is an arithmetic number, because the mean of its divisors is an integer number (528736211234).

Almost surely, 213103121101100 is an apocalyptic number.

13103121101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13103121101100 is an abundant number, since it is smaller than the sum of its proper divisors (24965886107748).

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

13103121101100 is a wasteful number, since it uses less digits than its factorization.

13103121101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181232915 (or 181232908 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 13103121101100 its reverse (110112130131), we get a palindrome (13213233231231).

The spelling of 13103121101100 in words is "thirteen trillion, one hundred three billion, one hundred twenty-one million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 241 300 482 723 964 1205 1446 2410 2892 3615 4820 6025 7230 12050 14460 18075 24100 36150 72300 181232657 362465314 543697971 724930628 906163285 1087395942 1812326570 2174791884 2718489855 3624653140 4530816425 5436979710 9061632850 10873959420 13592449275 18123265700 27184898550 43677070337 54369797100 87354140674 131031211011 174708281348 218385351685 262062422022 436770703370 524124844044 655156055055 873541406740 1091926758425 1310312110110 2183853516850 2620624220220 3275780275275 4367707033700 6551560550550 13103121101100