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213133132221030 = 23357787143289521
BaseRepresentation
bin110000011101011111101100…
…101000101100101001100110
31000221122022212102220010222000
4300131133230220230221212
5210413433123322033110
62033144001555350130
762615234463310260
oct6035375450545146
91027568772803860
10213133132221030
1161a0228785119a
121baa27668b2346
1391c04a2a18a38
143a8b9ad0d8b30
15199913654a1c0
hexc1d7eca2ca66

213133132221030 has 128 divisors (see below), whose sum is σ = 650373945615360. Its totient is φ = 48654243095040.

The previous prime is 213133132221013. The next prime is 213133132221167. The reversal of 213133132221030 is 30122231331312.

213133132221030 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 331 + 3 + 222 + 103 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213133132220985 and 213133132221003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70157331 + ... + 73132190.

It is an arithmetic number, because the mean of its divisors is an integer number (5081046450120).

Almost surely, 2213133132221030 is an apocalyptic number.

213133132221030 is an abundant number, since it is smaller than the sum of its proper divisors (437240813394330).

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

213133132221030 is a wasteful number, since it uses less digits than its factorization.

213133132221030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143290331 (or 143290325 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 213133132221030 its reverse (30122231331312), we get a palindrome (243255363552342).

The spelling of 213133132221030 in words is "two hundred thirteen trillion, one hundred thirty-three billion, one hundred thirty-two million, two hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 787 945 1574 1890 2361 3935 4722 5509 7083 7870 11018 11805 14166 16527 21249 23610 27545 33054 35415 42498 49581 55090 70830 82635 99162 106245 148743 165270 212490 247905 297486 495810 743715 1487430 143289521 286579042 429868563 716447605 859737126 1003026647 1289605689 1432895210 2006053294 2149342815 2579211378 3009079941 3868817067 4298685630 5015133235 6018159882 6448028445 7737634134 9027239823 10030266470 12896056890 15045399705 18054479646 19344085335 27081719469 30090799410 38688170670 45136199115 54163438938 90272398230 112768853027 135408597345 225537706054 270817194690 338306559081 563844265135 676613118162 789381971189 1014919677243 1127688530270 1578763942378 1691532795405 2029839354486 2368145913567 3044759031729 3383065590810 3946909855945 4736291827134 5074598386215 6089518063458 7104437740701 7893819711890 10149196772430 11840729567835 14208875481402 15223795158645 21313313222103 23681459135670 30447590317290 35522188703505 42626626444206 71044377407010 106566566110515 213133132221030