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1220211234324 = 2232731297357989
BaseRepresentation
bin10001110000011010010…
…000011101011000010100
311022122120121201012020200
4101300122100131120110
5124442443033444244
62332320213300500
7154104654234315
oct21603220353024
94278517635220
101220211234324
11430541481635
1217859a334730
138b0b0981264
14430b68b860c
1521b1927e669
hex11c1a41d614

1220211234324 has 72 divisors (see below), whose sum is σ = 3129094648680. Its totient is φ = 400854915072.

The previous prime is 1220211234323. The next prime is 1220211234331. The reversal of 1220211234324 is 4234321120221.

1220211234324 is a `hidden beast` number, since 1 + 2 + 202 + 1 + 1 + 23 + 432 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 265451648400 + 954759585924 = 515220^2 + 977118^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220211234323) 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, 3229522 + ... + 3587510.

Almost surely, 21220211234324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220211234324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564547324340).

1220211234324 is an abundant number, since it is smaller than the sum of its proper divisors (1908883414356).

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

1220211234324 is a wasteful number, since it uses less digits than its factorization.

1220211234324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359369 (or 359364 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1220211234324 its reverse (4234321120221), we get a palindrome (5454532354545).

The spelling of 1220211234324 in words is "one trillion, two hundred twenty billion, two hundred eleven million, two hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1297 1314 2594 2628 3891 5188 7782 11673 15564 23346 46692 94681 189362 284043 357989 378724 568086 715978 852129 1073967 1136172 1431956 1704258 2147934 3221901 3408516 4295868 6443802 12887604 26133197 52266394 78399591 104532788 156799182 235198773 313598364 464311733 470397546 928623466 940795092 1392935199 1857246932 2785870398 4178805597 5571740796 8357611194 16715222388 33894756509 67789513018 101684269527 135579026036 203368539054 305052808581 406737078108 610105617162 1220211234324