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1121001012 = 223317610567
BaseRepresentation
bin100001011010001…
…0001111000110100
32220010100202022000
41002310101320310
54243434013022
6303122535300
736531231345
oct10264217064
92803322260
101121001012
1152585971a
12273507530
1314b324911
14a8c480cc
15686336ac
hex42d11e34

1121001012 has 48 divisors (see below), whose sum is σ = 3077262720. Its totient is φ = 351686016.

The previous prime is 1121001001. The next prime is 1121001023. The reversal of 1121001012 is 2101001211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1121001001) and next prime (1121001023).

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 = 1121000985 and 1121001003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303448 + ... + 307119.

It is an arithmetic number, because the mean of its divisors is an integer number (64109640).

Almost surely, 21121001012 is an apocalyptic number.

1121001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1121001012 is an abundant number, since it is smaller than the sum of its proper divisors (1956261708).

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

1121001012 is a wasteful number, since it uses less digits than its factorization.

1121001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610597 (or 610589 counting only the distinct ones).

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

The square root of 1121001012 is about 33481.3531984596. The cubic root of 1121001012 is about 1038.8081180583.

Adding to 1121001012 its reverse (2101001211), we get a palindrome (3222002223).

The spelling of 1121001012 in words is "one billion, one hundred twenty-one million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 610567 1221134 1831701 2442268 3663402 5495103 7326804 10379639 10990206 16485309 20759278 21980412 31138917 32970618 41518556 62277834 65941236 93416751 124555668 186833502 280250253 373667004 560500506 1121001012