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213221414432 = 2513836175319
BaseRepresentation
bin1100011010010011111…
…1001001011000100000
3202101100202201010110102
43012210333021120200
511443134140230212
6241541430521532
721255553055525
oct3064477113040
9671322633412
10213221414432
1182476a25594
12353a75062a8
1317150535320
14a46a00514c
15582e0605c2
hex31a4fc9620

213221414432 has 48 divisors (see below), whose sum is σ = 457517108160. Its totient is φ = 97224206592.

The previous prime is 213221414429. The next prime is 213221414453. The reversal of 213221414432 is 234414122312.

It is a junction number, because it is equal to n+sod(n) for n = 213221414395 and 213221414404.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3053132 + ... + 3122187.

It is an arithmetic number, because the mean of its divisors is an integer number (9531606420).

Almost surely, 2213221414432 is an apocalyptic number.

It is an amenable number.

213221414432 is an abundant number, since it is smaller than the sum of its proper divisors (244295693728).

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

213221414432 is a wasteful number, since it uses less digits than its factorization.

213221414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6175425 (or 6175417 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 213221414432 its reverse (234414122312), we get a palindrome (447635536744).

The spelling of 213221414432 in words is "two hundred thirteen billion, two hundred twenty-one million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 83 104 166 208 332 416 664 1079 1328 2158 2656 4316 8632 17264 34528 6175319 12350638 24701276 49402552 80279147 98805104 160558294 197610208 321116588 512551477 642233176 1025102954 1284466352 2050205908 2568932704 4100411816 6663169201 8200823632 13326338402 16401647264 26652676804 53305353608 106610707216 213221414432