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100111111000290 = 232513175033238361
BaseRepresentation
bin10110110000110011101111…
…001101011001000011100010
3111010110112021110021011112200
4112300303233031121003202
5101110210023404002130
6552530224241034030
730041534441102505
oct2660635715310342
9433415243234480
10100111111000290
112999797a2a5245
12b28a254625916
1343b258b875770
141aa159179913c
15b891be1c2760
hex5b0cef3590e2

100111111000290 has 96 divisors (see below), whose sum is σ = 296799999730416. Its totient is φ = 23193162362880.

The previous prime is 100111111000289. The next prime is 100111111000291. The reversal of 100111111000290 is 92000111111001.

It is an interprime number because it is at equal distance from previous prime (100111111000289) and next prime (100111111000291).

It can be written as a sum of positive squares in 8 ways, for example, as 40661320884129 + 59449790116161 = 6376623^2 + 7710369^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100111111000291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2516599291 + ... + 2516639070.

Almost surely, 2100111111000290 is an apocalyptic number.

100111111000290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111111000290 is an abundant number, since it is smaller than the sum of its proper divisors (196688888730126).

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

100111111000290 is a wasteful number, since it uses less digits than its factorization.

100111111000290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033238404 (or 5033238401 counting only the distinct ones).

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

Adding to 100111111000290 its reverse (92000111111001), we get a palindrome (192111222111291).

The spelling of 100111111000290 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, two hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 5033238361 10066476722 15099715083 25166191805 30199430166 45299145249 50332383610 65432098693 75498575415 85565052137 90598290498 130864197386 150997150830 171130104274 196296296079 226495726245 256695156411 327160493465 392592592158 427825260685 452991452490 513390312822 588888888237 654320986930 770085469233 855650521370 981481480395 1112345677781 1177777776474 1283475782055 1540170938466 1962962960790 2224691355562 2566951564110 2944444441185 3337037033343 3850427346165 5561728388905 5888888882370 6674074066686 7700854692330 10011111100029 11123456777810 16685185166715 20022222200058 33370370333430 50055555500145 100111111000290