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1213320400404 = 223771277734443
BaseRepresentation
bin10001101001111111100…
…010000000111000010100
311021222210101101120011120
4101221333202000320110
5124334340010303104
62325220335003540
7153442132144440
oct21517742007024
94258711346146
101213320400404
1142862580a072
121771966695b0
138a55317ac38
1442a21657820
152186432acd9
hex11a7f880e14

1213320400404 has 96 divisors (see below), whose sum is σ = 3292941367296. Its totient is φ = 340546066560.

The previous prime is 1213320400367. The next prime is 1213320400423. The reversal of 1213320400404 is 4040040233121.

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, 1284807 + ... + 2019249.

It is an arithmetic number, because the mean of its divisors is an integer number (34301472576).

Almost surely, 21213320400404 is an apocalyptic number.

1213320400404 is a gapful number since it is divisible by the number (14) 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 1213320400404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646470683648).

1213320400404 is an abundant number, since it is smaller than the sum of its proper divisors (2079620966892).

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

1213320400404 is a wasteful number, since it uses less digits than its factorization.

1213320400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734805 (or 734803 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1213320400404 its reverse (4040040233121), we get a palindrome (5253360633525).

The spelling of 1213320400404 in words is "one trillion, two hundred thirteen billion, three hundred twenty million, four hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 277 284 426 497 554 831 852 994 1108 1491 1662 1939 1988 2982 3324 3878 5817 5964 7756 11634 19667 23268 39334 59001 78668 118002 137669 236004 275338 413007 550676 734443 826014 1468886 1652028 2203329 2937772 4406658 5141101 8813316 10282202 15423303 20564404 30846606 52145453 61693212 104290906 156436359 203440711 208581812 312872718 365018171 406881422 610322133 625745436 730036342 813762844 1095054513 1220644266 1424084977 1460072684 2190109026 2441288532 2848169954 4272254931 4380218052 5696339908 8544509862 14444290481 17089019724 28888580962 43332871443 57777161924 86665742886 101110033367 173331485772 202220066734 303330100101 404440133468 606660200202 1213320400404