Search a number
-
+
20120010100110 = 2325318173702623
BaseRepresentation
bin1001001001100100011100…
…00011100000110110001110
32122020110021002122020220100
410210302032003200312032
510114121240041200420
6110443001031031530
74144423415031444
oct444621603406616
978213232566810
1020120010100110
1164579371a0558
12230b48680b5a6
13b2c4025c63ab
144d7b56a72b94
1524d57ab84190
hex124c8e0e0d8e

20120010100110 has 48 divisors (see below), whose sum is σ = 52312265126784. Its totient is φ = 5365311527616.

The previous prime is 20120010100109. The next prime is 20120010100129. The reversal of 20120010100110 is 1100101002102.

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 = 20120010100092 and 20120010100101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28284259 + ... + 28986881.

It is an arithmetic number, because the mean of its divisors is an integer number (1089838856808).

Almost surely, 220120010100110 is an apocalyptic number.

20120010100110 is an abundant number, since it is smaller than the sum of its proper divisors (32192255026674).

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

20120010100110 is a wasteful number, since it uses less digits than its factorization.

20120010100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020809 (or 1020806 counting only the distinct ones).

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

Adding to 20120010100110 its reverse (1100101002102), we get a palindrome (21220111102212).

The spelling of 20120010100110 in words is "twenty trillion, one hundred twenty billion, ten million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 318173 636346 702623 954519 1405246 1590865 1909038 2107869 2863557 3181730 3513115 4215738 4772595 5727114 6323607 7026230 9545190 10539345 12647214 14317785 21078690 28635570 31618035 63236070 223555667779 447111335558 670667003337 1117778338895 1341334006674 2012001010011 2235556677790 3353335016685 4024002020022 6706670033370 10060005050055 20120010100110