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1121221020 = 2235233126209
BaseRepresentation
bin100001011010100…
…0111100110011100
32220010202221002110
41002311013212130
54244013033040
6303131354020
736533135643
oct10265074634
92803687073
101121221020
11525999a47
122735b2910
1314b3a0aba
14a8ca435a
1568678980
hex42d4799c

1121221020 has 96 divisors (see below), whose sum is σ = 3381719040. Its totient is φ = 276756480.

The previous prime is 1121221019. The next prime is 1121221033. The reversal of 1121221020 is 201221211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1121220987 and 1121221005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29676 + ... + 55884.

It is an arithmetic number, because the mean of its divisors is an integer number (35226240).

Almost surely, 21121221020 is an apocalyptic number.

1121221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690859520).

1121221020 is an abundant number, since it is smaller than the sum of its proper divisors (2260498020).

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

1121221020 is a wasteful number, since it uses less digits than its factorization.

1121221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26275 (or 26273 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1121221020 is about 33484.6385675581. The cubic root of 1121221020 is about 1038.8760725454.

Adding to 1121221020 its reverse (201221211), we get a palindrome (1322442231).

The spelling of 1121221020 in words is "one billion, one hundred twenty-one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 620 690 713 930 1380 1426 1860 2139 2852 3565 4278 7130 8556 10695 14260 21390 26209 42780 52418 78627 104836 131045 157254 262090 314508 393135 524180 602807 786270 812479 1205614 1572540 1624958 1808421 2411228 2437437 3014035 3249916 3616842 4062395 4874874 6028070 7233684 8124790 9042105 9749748 12056140 12187185 16249580 18084210 18687017 24374370 36168420 37374034 48748740 56061051 74748068 93435085 112122102 186870170 224244204 280305255 373740340 560610510 1121221020