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1220320122 = 23773619643
BaseRepresentation
bin100100010111100…
…1001101101111010
310011001020200111120
41020233021231322
54444400220442
6321031410110
742145356420
oct11057115572
93131220446
101220320122
1157692562a
122a0823936
13165a8a518
14b80dd110
15722014ec
hex48bc9b7a

1220320122 has 64 divisors (see below), whose sum is σ = 2836485120. Its totient is φ = 342797184.

The previous prime is 1220320121. The next prime is 1220320147. The reversal of 1220320122 is 2210230221.

It is a happy number.

It is a super-3 number, since 3×12203201223 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1220320121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1897533 + ... + 1898175.

It is an arithmetic number, because the mean of its divisors is an integer number (44320080).

Almost surely, 21220320122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220320122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418242560).

1220320122 is an abundant number, since it is smaller than the sum of its proper divisors (1616164998).

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

1220320122 is a wasteful number, since it uses less digits than its factorization.

1220320122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1220320122 is about 34933.0806256763. The cubic root of 1220320122 is about 1068.6231809577.

Adding to 1220320122 its reverse (2210230221), we get a palindrome (3430550343).

The spelling of 1220320122 in words is "one billion, two hundred twenty million, three hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 619 643 1022 1238 1286 1533 1857 1929 3066 3714 3858 4333 4501 8666 9002 12999 13503 25998 27006 45187 46939 90374 93878 135561 140817 271122 281634 316309 328573 398017 632618 657146 796034 948927 985719 1194051 1897854 1971438 2388102 2786119 5572238 8358357 16716714 29055241 58110482 87165723 174331446 203386687 406773374 610160061 1220320122