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232321320030 = 235316110738273
BaseRepresentation
bin1101100001011101101…
…1100000010001011110
3211012122212112212022110
43120113123200101132
512301243224220110
6254421004054450
722533065431512
oct3302733402136
9735585485273
10232321320030
118a588368338
1239037b34426
1318ba55b2607
14b35c948142
15609ac81a20
hex36176e045e

232321320030 has 128 divisors (see below), whose sum is σ = 590475350016. Its totient is φ = 58418380800.

The previous prime is 232321319987. The next prime is 232321320041. The reversal of 232321320030 is 30023123232.

232321320030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232321319979 and 232321320006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6050974 + ... + 6089246.

It is an arithmetic number, because the mean of its divisors is an integer number (4613088672).

Almost surely, 2232321320030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232321320030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295237675008).

232321320030 is an abundant number, since it is smaller than the sum of its proper divisors (358154029986).

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

232321320030 is a wasteful number, since it uses less digits than its factorization.

232321320030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38482.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 232321320030 its reverse (30023123232), we get a palindrome (262344443262).

The spelling of 232321320030 in words is "two hundred thirty-two billion, three hundred twenty-one million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 61 62 93 107 122 155 183 186 214 305 310 321 366 465 535 610 642 915 930 1070 1605 1830 1891 3210 3317 3782 5673 6527 6634 9455 9951 11346 13054 16585 18910 19581 19902 28365 32635 33170 38273 39162 49755 56730 65270 76546 97905 99510 114819 191365 195810 202337 229638 382730 404674 574095 607011 1011685 1148190 1186463 1214022 2023370 2334653 2372926 3035055 3559389 4095211 4669306 5932315 6070110 7003959 7118778 8190422 11673265 11864630 12285633 14007918 17796945 20476055 23346530 24571266 35019795 35593890 40952110 61428165 70039590 72374243 122856330 126951541 144748486 217122729 249807871 253903082 361871215 380854623 434245458 499615742 634757705 723742430 749423613 761709246 1085613645 1249039355 1269515410 1498847226 1904273115 2171227290 2498078710 3747118065 3808546230 7494236130 7744044001 15488088002 23232132003 38720220005 46464264006 77440440010 116160660015 232321320030