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213230334330 = 233513349174067
BaseRepresentation
bin1100011010010110000…
…1001011000101111010
3202101101101111022021000
43012211201023011322
511443143431144310
6241542350025430
721256021636206
oct3064541130572
9671341438230
10213230334330
1182480a68202
12353aa4a8276
1317152339380
14a46b287b06
15582ec234c0
hex31a584b17a

213230334330 has 128 divisors (see below), whose sum is σ = 614111904000. Its totient is φ = 52336772352.

The previous prime is 213230334319. The next prime is 213230334347. The reversal of 213230334330 is 33433032312.

It is a happy number.

213230334330 is a `hidden beast` number, since 2 + 1 + 323 + 0 + 3 + 3 + 4 + 330 = 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 = 213230334294 and 213230334303.

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, 1137957 + ... + 1312023.

It is an arithmetic number, because the mean of its divisors is an integer number (4797749250).

Almost surely, 2213230334330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213230334330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307055952000).

213230334330 is an abundant number, since it is smaller than the sum of its proper divisors (400881569670).

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

213230334330 is a wasteful number, since it uses less digits than its factorization.

213230334330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174445 (or 174439 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 213230334330 its reverse (33433032312), we get a palindrome (246663366642).

The spelling of 213230334330 in words is "two hundred thirteen billion, two hundred thirty million, three hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 349 351 390 585 698 702 1047 1170 1745 1755 2094 3141 3490 3510 4537 5235 6282 9074 9423 10470 13611 15705 18846 22685 27222 31410 40833 45370 47115 68055 81666 94230 122499 136110 174067 204165 244998 348134 408330 522201 612495 870335 1044402 1224990 1566603 1740670 2262871 2611005 3133206 4525742 4699809 5222010 6788613 7833015 9399618 11314355 13577226 15666030 20365839 22628710 23499045 33943065 40731678 46998090 60749383 61097517 67886130 101829195 121498766 122195034 182248149 203658390 303746915 305487585 364496298 546744447 607493830 610975170 789741979 911240745 1093488894 1579483958 1640233341 1822481490 2369225937 2733722235 3280466682 3948709895 4738451874 5467444470 7107677811 7897419790 8201166705 11846129685 14215355622 16402333410 21323033433 23692259370 35538389055 42646066866 71076778110 106615167165 213230334330