Search a number
-
+
1001121110110 = 251129210821761
BaseRepresentation
bin11101001000101110111…
…01111101100001011110
310112201001211222201102201
432210113131331201132
5112400244001010420
62043524135442114
7132220500013432
oct16442735754136
93481054881381
101001121110110
11356633849580
1214203552633a
137353662acc4
14366512bc9c2
151b094dbc10a
hexe91777d85e

1001121110110 has 48 divisors (see below), whose sum is σ = 2035963015632. Its totient is φ = 351490764800.

The previous prime is 1001121110089. The next prime is 1001121110113. The reversal of 1001121110110 is 110111211001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001121110113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5318371 + ... + 5503390.

It is an arithmetic number, because the mean of its divisors is an integer number (42415896159).

Almost surely, 21001121110110 is an apocalyptic number.

1001121110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001121110110 is an abundant number, since it is smaller than the sum of its proper divisors (1034841905522).

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

1001121110110 is a wasteful number, since it uses less digits than its factorization.

1001121110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10821837 (or 10821808 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1001121110110 its reverse (110111211001), we get a palindrome (1111232321111).

The spelling of 1001121110110 in words is "one trillion, one billion, one hundred twenty-one million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 29 55 58 110 145 290 319 638 841 1595 1682 3190 4205 8410 9251 18502 46255 92510 10821761 21643522 54108805 108217610 119039371 238078742 313831069 595196855 627662138 1190393710 1569155345 3138310690 3452141759 6904283518 9101101001 17260708795 18202202002 34521417590 45505505005 91011010010 100112111011 200224222022 500560555055 1001121110110