Search a number
-
+
17021333120140 = 22517311679670223
BaseRepresentation
bin1111011110110001011010…
…0000111010010010001100
32020021020000222020000111101
43313230112200322102030
54212334142234321030
6100111254213232444
73404515334214166
oct367542640722214
966236028200441
1017021333120140
11547278588a268
121aaaa22032724
139661493c195b
1442bba070d936
151e7b6d4417ca
hexf7b1683a48c

17021333120140 has 96 divisors (see below), whose sum is σ = 39302265913344. Its totient is φ = 6164186311680.

The previous prime is 17021333120059. The next prime is 17021333120147. The reversal of 17021333120140 is 4102133312071.

17021333120140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 17021333120099 and 17021333120108.

It is not an unprimeable number, because it can be changed into a prime (17021333120147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3074932 + ... + 6595291.

It is an arithmetic number, because the mean of its divisors is an integer number (409398603264).

Almost surely, 217021333120140 is an apocalyptic number.

17021333120140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17021333120140 is an abundant number, since it is smaller than the sum of its proper divisors (22280932793204).

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

17021333120140 is a wasteful number, since it uses less digits than its factorization.

17021333120140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9670447 (or 9670445 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 17021333120140 in words is "seventeen trillion, twenty-one billion, three hundred thirty-three million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 167 170 310 334 340 527 620 668 835 1054 1670 2108 2635 2839 3340 5177 5270 5678 10354 10540 11356 14195 20708 25885 28390 51770 56780 88009 103540 176018 352036 440045 880090 1760180 9670223 19340446 38680892 48351115 96702230 164393791 193404460 299776913 328787582 599553826 657575164 821968955 1199107652 1498884565 1614927241 1643937910 2997769130 3229854482 3287875820 5096207521 5995538260 6459708964 8074636205 10192415042 16149272410 20384830084 25481037605 27453763097 32298544820 50062744471 50962075210 54907526194 100125488942 101924150420 109815052388 137268815485 200250977884 250313722355 274537630970 500627444710 549075261940 851066656007 1001254889420 1702133312014 3404266624028 4255333280035 8510666560070 17021333120140