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1002012100110 = 2325710067157991
BaseRepresentation
bin11101001010011001001…
…00110100011000001110
310112210100221112200221100
432211030210310120032
5112404110044200420
62044152404443530
7132251536215060
oct16451444643016
93483327480840
101002012100110
11356a5078754a
121422439a95a6
13736490bb618
14366d7771730
151b0e8219190
hexe94c93460e

1002012100110 has 96 divisors (see below), whose sum is σ = 2977721989632. Its totient is φ = 229007136960.

The previous prime is 1002012100087. The next prime is 1002012100121. The reversal of 1002012100110 is 110012102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002012100092 and 1002012100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6263215 + ... + 6421205.

It is an arithmetic number, because the mean of its divisors is an integer number (31017937392).

Almost surely, 21002012100110 is an apocalyptic number.

1002012100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002012100110 is an abundant number, since it is smaller than the sum of its proper divisors (1975709889522).

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

1002012100110 is a wasteful number, since it uses less digits than its factorization.

1002012100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168078 (or 168075 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002012100110 its reverse (110012102001), we get a palindrome (1112024202111).

The spelling of 1002012100110 in words is "one trillion, two billion, twelve million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 10067 20134 30201 50335 60402 70469 90603 100670 140938 151005 157991 181206 211407 302010 315982 352345 422814 453015 473973 634221 704690 789955 906030 947946 1057035 1105937 1268442 1421919 1579910 2114070 2211874 2369865 2843838 3171105 3317811 4739730 5529685 6342210 6635622 7109595 9953433 11059370 14219190 16589055 19906866 33178110 49767165 99534330 1590495397 3180990794 4771486191 7952476985 9542972382 11133467779 14314458573 15904953970 22266935558 23857430955 28628917146 33400403337 47714861910 55667338895 66800806674 71572292865 100201210011 111334677790 143144585730 167002016685 200402420022 334004033370 501006050055 1002012100110