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230323214100 = 223527313537991
BaseRepresentation
bin1101011010000001010…
…1010101011100010100
3211000111121202120021010
43112200111111130110
512233200220322400
6253450425452220
722432424006010
oct3264025253424
9730447676233
10230323214100
11897524a4821
123877a941070
131894764c405
14b20d423540
155ed0645450
hex35a0555714

230323214100 has 144 divisors (see below), whose sum is σ = 786170126336. Its totient is φ = 50947056000.

The previous prime is 230323214083. The next prime is 230323214119. The reversal of 230323214100 is 1412323032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1703896 + ... + 1834095.

Almost surely, 2230323214100 is an apocalyptic number.

230323214100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230323214100 is an abundant number, since it is smaller than the sum of its proper divisors (555846912236).

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

230323214100 is a wasteful number, since it uses less digits than its factorization.

230323214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538046 (or 3538039 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 230323214100 its reverse (1412323032), we get a palindrome (231735537132).

The spelling of 230323214100 in words is "two hundred thirty billion, three hundred twenty-three million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 465 525 620 651 700 775 868 930 1050 1085 1302 1550 1860 2100 2170 2325 2604 3100 3255 4340 4650 5425 6510 9300 10850 13020 16275 21700 32550 65100 3537991 7075982 10613973 14151964 17689955 21227946 24765937 35379910 42455892 49531874 53069865 70759820 74297811 88449775 99063748 106139730 109677721 123829685 148595622 176899550 212279460 219355442 247659370 265349325 297191244 329033163 353799100 371489055 438710884 495318740 530698650 548388605 619148425 658066326 742978110 767744047 1061397300 1096777210 1238296850 1316132652 1485956220 1535488094 1645165815 1857445275 2193554420 2303232141 2476593700 2741943025 3070976188 3290331630 3714890550 3838720235 4606464282 5483886050 6580663260 7429781100 7677440470 8225829075 9212928564 10967772100 11516160705 15354880940 16451658150 19193601175 23032321410 32903316300 38387202350 46064642820 57580803525 76774404700 115161607050 230323214100