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230120102100 = 223527313534871
BaseRepresentation
bin1101011001010000111…
…0100001100011010100
3210222222110120101222110
43112110032201203110
512232241221231400
6253414332231020
722424406410520
oct3262416414324
9728873511873
10230120102100
1189658886769
123872290b470
13189145457b5
14b1d0470d80
155ebc8c3e50
hex35943a18d4

230120102100 has 144 divisors (see below), whose sum is σ = 785476837376. Its totient is φ = 50902128000.

The previous prime is 230120102087. The next prime is 230120102123. The reversal of 230120102100 is 1201021032.

It is a super-2 number, since 2×2301201021002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1702336 + ... + 1832535.

Almost surely, 2230120102100 is an apocalyptic number.

230120102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230120102100 is an abundant number, since it is smaller than the sum of its proper divisors (555356735276).

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

230120102100 is a wasteful number, since it uses less digits than its factorization.

230120102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534926 (or 3534919 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 230120102100 its reverse (1201021032), we get a palindrome (231321123132).

The spelling of 230120102100 in words is "two hundred thirty billion, one hundred twenty million, one hundred two 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 3534871 7069742 10604613 14139484 17674355 21209226 24744097 35348710 42418452 49488194 53023065 70697420 74232291 88371775 98976388 106046130 109581001 123720485 148464582 176743550 212092260 219162002 247440970 265115325 296929164 328743003 353487100 371161455 438324004 494881940 530230650 547905005 618602425 657486006 742322910 767067007 1060461300 1095810010 1237204850 1314972012 1484645820 1534134014 1643715015 1855807275 2191620020 2301201021 2474409700 2739525025 3068268028 3287430030 3711614550 3835335035 4602402042 5479050050 6574860060 7423229100 7670670070 8218575075 9204804084 10958100100 11506005105 15341340140 16437150150 19176675175 23012010210 32874300300 38353350350 46024020420 57530025525 76706700700 115060051050 230120102100