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213214341132 = 2232131931773491
BaseRepresentation
bin1100011010010010010…
…0001010100000001100
3202101100021101202201100
43012210210022200030
511443130332404012
6241541015143100
721255435665622
oct3064444124014
9671307352640
10213214341132
1182472a34291
12353a5074a90
131714bc29940
14a4690c3512
15582d6148dc
hex31a490a80c

213214341132 has 144 divisors (see below), whose sum is σ = 630674437120. Its totient is φ = 60146582400.

The previous prime is 213214341091. The next prime is 213214341149. The reversal of 213214341132 is 231143412312.

213214341132 is a `hidden beast` number, since 2 + 1 + 3 + 214 + 3 + 411 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213214341096 and 213214341105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111094 + ... + 662397.

Almost surely, 2213214341132 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 213214341132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315337218560).

213214341132 is an abundant number, since it is smaller than the sum of its proper divisors (417460095988).

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

213214341132 is a wasteful number, since it uses less digits than its factorization.

213214341132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773564 (or 773559 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 213214341132 its reverse (231143412312), we get a palindrome (444357753444).

The spelling of 213214341132 in words is "two hundred thirteen billion, two hundred fourteen million, three hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 31 36 38 39 52 57 62 76 78 93 114 117 124 156 171 186 228 234 247 279 342 372 403 468 494 558 589 684 741 806 988 1116 1178 1209 1482 1612 1767 2223 2356 2418 2964 3534 3627 4446 4836 5301 7068 7254 7657 8892 10602 14508 15314 21204 22971 30628 45942 68913 91884 137826 275652 773491 1546982 2320473 3093964 4640946 6961419 9281892 10055383 13922838 14696329 20110766 23978221 27845676 29392658 30166149 40221532 44088987 47956442 58785316 60332298 71934663 88177974 90498447 95912884 120664596 132266961 143869326 176355948 180996894 191052277 215803989 264533922 287738652 311716873 361993788 382104554 431607978 455586199 529067844 573156831 623433746 764209108 863215956 911172398 935150619 1146313662 1246867492 1366758597 1719470493 1822344796 1870301238 2292627324 2733517194 2805451857 3438940986 3740602476 4100275791 5467034388 5610903714 5922620587 6877881972 8200551582 11221807428 11845241174 16401103164 17767861761 23690482348 35535723522 53303585283 71071447044 106607170566 213214341132