Search a number
-
+
10002110200110 = 233575292121799
BaseRepresentation
bin1001000110001100110000…
…1110011011100100101110
31022102012012020221112012000
42101203030032123210232
52302333310202400420
633134523405553130
72051425420633230
oct221431416334456
938365166845160
1010002110200110
1132069644a9656
1211565865757a6
1357726c3a8042
142681674b2250
151252a0322690
hex918cc39b92e

10002110200110 has 64 divisors (see below), whose sum is σ = 30482621568000. Its totient is φ = 2286196616736.

The previous prime is 10002110200109. The next prime is 10002110200111. The reversal of 10002110200110 is 1100201120001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10002110200109) and next prime (10002110200111).

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 = 10002110200092 and 10002110200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002110200111) 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, 2646059010 + ... + 2646062789.

It is an arithmetic number, because the mean of its divisors is an integer number (476290962000).

Almost surely, 210002110200110 is an apocalyptic number.

10002110200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002110200110 is an abundant number, since it is smaller than the sum of its proper divisors (20480511367890).

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

10002110200110 is a wasteful number, since it uses less digits than its factorization.

10002110200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292121822 (or 5292121816 counting only the distinct ones).

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

Adding to 10002110200110 its reverse (1100201120001), we get a palindrome (11102311320111).

The spelling of 10002110200110 in words is "ten trillion, two billion, one hundred ten million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 5292121799 10584243598 15876365397 26460608995 31752730794 37044852593 47629096191 52921217990 74089705186 79381826985 95258192382 111134557779 142887288573 158763653970 185224262965 222269115558 238145480955 285774577146 333403673337 370448525930 476290961910 555672788895 666807346674 714436442865 1000211020011 1111345577790 1428872885730 1667018366685 2000422040022 3334036733370 5001055100055 10002110200110