Search a number
-
+
1013110211100 = 22352131715280697
BaseRepresentation
bin11101011111000100001…
…00110000001000011100
310120212000101121011011010
432233202010300020130
5113044322203223400
62053225535455220
7133123546464561
oct16574204601034
93525011534133
101013110211100
113607263365a9
12144420687510
13746c74479c0
143706b6a0868
151b5476d8450
hexebe213021c

1013110211100 has 144 divisors (see below), whose sum is σ = 3342438757728. Its totient is φ = 234711490560.

The previous prime is 1013110211093. The next prime is 1013110211147. The reversal of 1013110211100 is 11120113101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 7574049 + ... + 7706648.

It is an arithmetic number, because the mean of its divisors is an integer number (23211380262).

Almost surely, 21013110211100 is an apocalyptic number.

1013110211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013110211100 is an abundant number, since it is smaller than the sum of its proper divisors (2329328546628).

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

1013110211100 is a wasteful number, since it uses less digits than its factorization.

1013110211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280744 (or 15280737 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1013110211100 its reverse (11120113101), we get a palindrome (1024230324201).

The spelling of 1013110211100 in words is "one trillion, thirteen billion, one hundred ten million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 25 26 30 34 39 50 51 52 60 65 68 75 78 85 100 102 130 150 156 170 195 204 221 255 260 300 325 340 390 425 442 510 650 663 780 850 884 975 1020 1105 1275 1300 1326 1700 1950 2210 2550 2652 3315 3900 4420 5100 5525 6630 11050 13260 16575 22100 33150 66300 15280697 30561394 45842091 61122788 76403485 91684182 152806970 183368364 198649061 229210455 259771849 305613940 382017425 397298122 458420910 519543698 595947183 764034850 779315547 794596244 916841820 993245305 1039087396 1146052275 1191894366 1298859245 1528069700 1558631094 1986490610 2292104550 2383788732 2597718490 2979735915 3117262188 3377034037 3896577735 3972981220 4584209100 4966226525 5195436980 5959471830 6494296225 6754068074 7793155470 9932453050 10131102111 11918943660 12988592450 13508136148 14898679575 15586310940 16885170185 19482888675 19864906100 20262204222 25977184900 29797359150 33770340370 38965777350 40524408444 50655510555 59594718300 67540680740 77931554700 84425850925 101311021110 168851701850 202622042220 253277552775 337703403700 506555105550 1013110211100