Search a number
-
+
1022120110110 = 235116863451309
BaseRepresentation
bin11101101111110110001…
…10110010100000011110
310121201021022022110001110
432313323012302200132
5113221300222010420
62101315553122450
7133563042404661
oct16677306624036
93551238273043
101022120110110
1136452a179030
12146115b59426
1375501c828a8
14376841316d8
151b8c36bcee0
hexedfb1b281e

1022120110110 has 64 divisors (see below), whose sum is σ = 2676492149760. Its totient is φ = 247750039680.

The previous prime is 1022120110027. The next prime is 1022120110177. The reversal of 1022120110110 is 110110212201.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2039136 + ... + 2490444.

It is an arithmetic number, because the mean of its divisors is an integer number (41820189840).

Almost surely, 21022120110110 is an apocalyptic number.

1022120110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022120110110 is an abundant number, since it is smaller than the sum of its proper divisors (1654372039650).

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

1022120110110 is a wasteful number, since it uses less digits than its factorization.

1022120110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458193.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1022120110110 its reverse (110110212201), we get a palindrome (1132230322311).

It can be divided in two parts, 102 and 2120110110, that added together give a palindrome (2120110212).

The spelling of 1022120110110 in words is "one trillion, twenty-two billion, one hundred twenty million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 6863 13726 20589 34315 41178 68630 75493 102945 150986 205890 226479 377465 451309 452958 754930 902618 1132395 1353927 2256545 2264790 2707854 4513090 4964399 6769635 9928798 13539270 14893197 24821995 29786394 49643990 74465985 148931970 3097333667 6194667334 9292001001 15486668335 18584002002 30973336670 34070670337 46460005005 68141340674 92920010010 102212011011 170353351685 204424022022 340706703370 511060055055 1022120110110