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1121012010 = 232553235013
BaseRepresentation
bin100001011010001…
…0100100100101010
32220010101022101100
41002310110210222
54243434341020
6303123102230
736531305406
oct10264244452
92803338340
101121012010
11525866a08
12273511976
1314b329921
14a8c4c106
1568636a90
hex42d1492a

1121012010 has 48 divisors (see below), whose sum is σ = 2969636904. Its totient is φ = 293294976.

The previous prime is 1121011967. The next prime is 1121012047. The reversal of 1121012010 is 102101211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 932141961 + 188870049 = 30531^2 + 13743^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1121011983 and 1121012001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112737 + ... + 122276.

Almost surely, 21121012010 is an apocalyptic number.

1121012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1121012010 is an abundant number, since it is smaller than the sum of its proper divisors (1848624894).

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

1121012010 is a wasteful number, since it uses less digits than its factorization.

1121012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235079 (or 235076 counting only the distinct ones).

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

The square root of 1121012010 is about 33481.5174387303. The cubic root of 1121012010 is about 1038.8115152525.

Adding to 1121012010 its reverse (102101211), we get a palindrome (1223113221).

It can be divided in two parts, 11210 and 12010, that added together give a triangular number (23220 = T215).

The spelling of 1121012010 in words is "one billion, one hundred twenty-one million, twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 235013 470026 705039 1175065 1410078 2115117 2350130 3525195 4230234 7050390 10575585 12455689 21151170 24911378 37367067 62278445 74734134 112101201 124556890 186835335 224202402 373670670 560506005 1121012010