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1321312230 = 233571634289
BaseRepresentation
bin100111011000001…
…1001111111100110
310102002021121122000
41032300121333212
510201223442410
6335040150130
744512653150
oct11660317746
93362247560
101321312230
11618934487
1230a608346
1318098a774
14c76abad0
157aeeedc0
hex4ec19fe6

1321312230 has 128 divisors (see below), whose sum is σ = 4052505600. Its totient is φ = 300091392.

The previous prime is 1321312219. The next prime is 1321312247. The reversal of 1321312230 is 322131231.

1321312230 is a `hidden beast` number, since 1 + 321 + 312 + 2 + 30 = 666.

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

It is a Curzon number.

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, 305926 + ... + 310214.

It is an arithmetic number, because the mean of its divisors is an integer number (31660200).

Almost surely, 21321312230 is an apocalyptic number.

1321312230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321312230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026252800).

1321312230 is an abundant number, since it is smaller than the sum of its proper divisors (2731193370).

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

1321312230 is a wasteful number, since it uses less digits than its factorization.

1321312230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1321312230 is about 36349.8587342509. The cubic root of 1321312230 is about 1097.3246914982.

Adding to 1321312230 its reverse (322131231), we get a palindrome (1643443461).

The spelling of 1321312230 in words is "one billion, three hundred twenty-one million, three hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 163 189 210 270 315 326 378 489 630 815 945 978 1141 1467 1630 1890 2282 2445 2934 3423 4289 4401 4890 5705 6846 7335 8578 8802 10269 11410 12867 14670 17115 20538 21445 22005 25734 30023 30807 34230 38601 42890 44010 51345 60046 61614 64335 77202 90069 102690 115803 128670 150115 154035 180138 193005 231606 270207 300230 308070 386010 450345 540414 579015 699107 810621 900690 1158030 1351035 1398214 1621242 2097321 2702070 3495535 4053105 4194642 4893749 6291963 6991070 8106210 9787498 10486605 12583926 14681247 18875889 20973210 24468745 29362494 31459815 37751778 44043741 48937490 62919630 73406235 88087482 94379445 132131223 146812470 188758890 220218705 264262446 440437410 660656115 1321312230