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1002304000110 = 2357171574917827
BaseRepresentation
bin11101001010111011111…
…10010101000001101110
310112211010021210202110110
432211131332111001232
5112410204311000420
62044241353120450
7132262012300350
oct16453576250156
93484107722413
101002304000110
11357090529316
121423056b9126
137369471160a
14367244370d0
151b113b77ee0
hexe95df9506e

1002304000110 has 128 divisors (see below), whose sum is σ = 2911241088000. Its totient is φ = 215595915264.

The previous prime is 1002304000097. The next prime is 1002304000111. The reversal of 1002304000110 is 110004032001.

It is a happy number.

It is a super-2 number, since 2×10023040001102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002304000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56215017 + ... + 56232843.

It is an arithmetic number, because the mean of its divisors is an integer number (22744071000).

Almost surely, 21002304000110 is an apocalyptic number.

1002304000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002304000110 is an abundant number, since it is smaller than the sum of its proper divisors (1908937087890).

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

1002304000110 is a wasteful number, since it uses less digits than its factorization.

1002304000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33610.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1002304000110 its reverse (110004032001), we get a palindrome (1112308032111).

The spelling of 1002304000110 in words is "one trillion, two billion, three hundred four million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 15749 17827 31498 35654 47247 53481 78745 89135 94494 106962 110243 124789 157490 178270 220486 236235 249578 267405 267733 303059 330729 374367 472470 534810 535466 551215 606118 623945 661458 748734 803199 909177 1102430 1247890 1338665 1515295 1606398 1653645 1818354 1871835 1874131 2121413 2677330 3030590 3307290 3743670 3748262 4015995 4242826 4545885 5622393 6364239 8031990 9091770 9370655 10607065 11244786 12728478 18741310 21214130 28111965 31821195 56223930 63642390 280757423 561514846 842272269 1403787115 1684544538 1965301961 2807574230 3930603922 4211361345 4772876191 5895905883 8422722690 9545752382 9826509805 11791811766 14318628573 19653019610 23864380955 28637257146 29479529415 33410133337 47728761910 58959058830 66820266674 71593142865 100230400011 143186285730 167050666685 200460800022 334101333370 501152000055 1002304000110