Search a number
-
+
1101110120010 = 2325175912197963
BaseRepresentation
bin10000000001011111010…
…001110000111001001010
310220021011020221201002200
4100001133101300321022
5121020033142320020
62201502031141030
7142360351410015
oct20013721607112
93807136851080
101101110120010
11394a83a5864a
1215949b674776
137caaca90314
143b418abc37c
151d998185590
hex1005f470e4a

1101110120010 has 96 divisors (see below), whose sum is σ = 3082669462080. Its totient is φ = 271673009664.

The previous prime is 1101110120003. The next prime is 1101110120017. The reversal of 1101110120010 is 100210111011.

It is an interprime number because it is at equal distance from previous prime (1101110120003) and next prime (1101110120017).

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 = 1101110119974 and 1101110120001.

It is not an unprimeable number, because it can be changed into a prime (1101110120017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6008712 + ... + 6189251.

It is an arithmetic number, because the mean of its divisors is an integer number (32111140230).

Almost surely, 21101110120010 is an apocalyptic number.

1101110120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1101110120010 is an abundant number, since it is smaller than the sum of its proper divisors (1981559342070).

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

1101110120010 is a wasteful number, since it uses less digits than its factorization.

1101110120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12198052 (or 12198049 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1101110120010 its reverse (100210111011), we get a palindrome (1201320231021).

The spelling of 1101110120010 in words is "one trillion, one hundred one billion, one hundred ten million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 59 85 90 102 118 153 170 177 255 295 306 354 510 531 590 765 885 1003 1062 1530 1770 2006 2655 3009 5015 5310 6018 9027 10030 15045 18054 30090 45135 90270 12197963 24395926 36593889 60989815 73187778 109781667 121979630 182969445 207365371 219563334 365938890 414730742 548908335 622096113 719679817 1036826855 1097816670 1244192226 1439359634 1866288339 2073653710 2159039451 3110480565 3598399085 3732576678 4318078902 6220961130 6477118353 7196798170 9331441695 10795197255 12234556889 12954236706 18662883390 21590394510 24469113778 32385591765 36703670667 61172784445 64771183530 73407341334 110111012001 122345568890 183518353335 220222024002 367036706670 550555060005 1101110120010