Search a number
-
+
1210110120312 = 233967285118289
BaseRepresentation
bin10001100111000000001…
…011110001000101111000
311021200111122200102202220
4101213000023301011320
5124311301142322222
62323530015324040
7153266441210322
oct21470013610570
94250448612686
101210110120312
11427228685125
1217663b520620
138a161050212
14427d9154612
152172759bb5c
hex119c02f1178

1210110120312 has 64 divisors (see below), whose sum is σ = 3029631686400. Its totient is φ = 402789542400.

The previous prime is 1210110120287. The next prime is 1210110120319. The reversal of 1210110120312 is 2130210110121.

It is a super-2 number, since 2×12101101203122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1210110120291 and 1210110120300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210110120319) 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 15 ways as a sum of consecutive naturals, for example, 66156864 + ... + 66175152.

It is an arithmetic number, because the mean of its divisors is an integer number (47337995100).

Almost surely, 21210110120312 is an apocalyptic number.

1210110120312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1210110120312 is an abundant number, since it is smaller than the sum of its proper divisors (1819521566088).

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

1210110120312 is a wasteful number, since it uses less digits than its factorization.

1210110120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22116 (or 22112 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1210110120312 its reverse (2130210110121), we get a palindrome (3340320230433).

The spelling of 1210110120312 in words is "one trillion, two hundred ten billion, one hundred ten million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 967 1934 2851 2901 3868 5702 5802 7736 8553 11404 11604 17106 18289 22808 23208 34212 36578 54867 68424 73156 109734 146312 219468 438936 2756917 5513834 8270751 11027668 16541502 17685463 22055336 33083004 35370926 52141939 53056389 66166008 70741852 104283878 106112778 141483704 156425817 208567756 212225556 312851634 417135512 424451112 625703268 1251406536 50421255013 100842510026 151263765039 201685020052 302527530078 403370040104 605055060156 1210110120312