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213000322104 = 233217219135351
BaseRepresentation
bin1100011001011111001…
…1101111110000111000
3202100210100200110210200
43012113303233300320
511442211040301404
6241503452042200
721250226602503
oct3062763576070
9670710613720
10213000322104
1182373146659
1235345463360
13171167a466b
14a4488d213a
15581993b839
hex3197cefc38

213000322104 has 144 divisors (see below), whose sum is σ = 613240776720. Its totient is φ = 66776217600.

The previous prime is 213000322091. The next prime is 213000322163. The reversal of 213000322104 is 401223000312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39803029 + ... + 39808379.

It is an arithmetic number, because the mean of its divisors is an integer number (4258616505).

Almost surely, 2213000322104 is an apocalyptic number.

213000322104 is a gapful number since it is divisible by the number (24) 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 213000322104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306620388360).

213000322104 is an abundant number, since it is smaller than the sum of its proper divisors (400240454616).

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

213000322104 is a wasteful number, since it uses less digits than its factorization.

213000322104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7310 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213000322104 its reverse (401223000312), we get a palindrome (614223322416).

The spelling of 213000322104 in words is "two hundred thirteen billion, three hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 1913 2312 2601 3468 3826 5202 5351 5739 6936 7652 10404 10702 11478 15304 16053 17217 20808 21404 22956 32106 32521 34434 42808 45912 48159 64212 65042 68868 90967 96318 97563 128424 130084 137736 181934 192636 195126 260168 272901 292689 363868 385272 390252 545802 552857 585378 727736 780504 818703 1091604 1105714 1170756 1546439 1637406 1658571 2183208 2211428 2341512 3092878 3274812 3317142 4422856 4639317 4975713 6185756 6549624 6634284 9278634 9951426 10236463 12371512 13268568 13917951 18557268 19902852 20472926 27835902 30709389 37114536 39805704 40945852 55671804 61418778 81891704 92128167 111343608 122837556 174019871 184256334 245675112 348039742 368512668 522059613 696079484 737025336 1044119226 1392158968 1566178839 2088238452 2958337807 3132357678 4176476904 5916675614 6264715356 8875013421 11833351228 12529430712 17750026842 23666702456 26625040263 35500053684 53250080526 71000107368 106500161052 213000322104