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1202100001110 = 232559587385663
BaseRepresentation
bin10001011111100010101…
…111100101100101010110
311020220211102020012221100
4101133202233211211112
5124143400100013420
62320123114530530
7152564105263161
oct21374257454526
94226742205840
101202100001110
11423898125aa8
12174b84a36a46
13894856a6208
14422793b4ad8
1521409253190
hex117e2be5956

1202100001110 has 96 divisors (see below), whose sum is σ = 3183856865280. Its totient is φ = 314589121344.

The previous prime is 1202100001099. The next prime is 1202100001117. The reversal of 1202100001110 is 111000012021.

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 = 1202100001092 and 1202100001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202100001117) 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 47 ways as a sum of consecutive naturals, for example, 2924139 + ... + 3309801.

It is an arithmetic number, because the mean of its divisors is an integer number (33165175680).

Almost surely, 21202100001110 is an apocalyptic number.

1202100001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202100001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591928432640).

1202100001110 is an abundant number, since it is smaller than the sum of its proper divisors (1981756864170).

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

1202100001110 is a wasteful number, since it uses less digits than its factorization.

1202100001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386322 (or 386319 counting only the distinct ones).

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

Adding to 1202100001110 its reverse (111000012021), we get a palindrome (1313100013131).

The spelling of 1202100001110 in words is "one trillion, two hundred two billion, one hundred million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 587 590 885 1062 1174 1761 1770 2655 2935 3522 5283 5310 5870 8805 10566 17610 26415 34633 52830 69266 103899 173165 207798 311697 346330 385663 519495 623394 771326 1038990 1156989 1558485 1928315 2313978 3116970 3470967 3856630 5784945 6941934 11569890 17354835 22754117 34709670 45508234 68262351 113770585 136524702 204787053 226384181 227541170 341311755 409574106 452768362 679152543 682623510 1023935265 1131920905 1358305086 2037457629 2047870530 2263841810 3395762715 4074915258 6791525430 10187288145 13356666679 20374576290 26713333358 40070000037 66783333395 80140000074 120210000111 133566666790 200350000185 240420000222 400700000370 601050000555 1202100001110