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234247101100 = 225231891038243
BaseRepresentation
bin1101101000101000110…
…1110001101010101100
3211101122002020200022021
43122022031301222230
512314214224213400
6255340040155524
722631601335545
oct3321215615254
9741562220267
10234247101100
1190386422141
1239494a68ba4
1319121571a3c
14b4a26034cc
15615ed8371a
hex368a371aac

234247101100 has 144 divisors (see below), whose sum is σ = 535825704960. Its totient is φ = 88776230400.

The previous prime is 234247101073. The next prime is 234247101103. The reversal of 234247101100 is 1101742432.

234247101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (234247101103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28413579 + ... + 28421821.

It is an arithmetic number, because the mean of its divisors is an integer number (3721011840).

Almost surely, 2234247101100 is an apocalyptic number.

234247101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234247101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267912852480).

234247101100 is an abundant number, since it is smaller than the sum of its proper divisors (301578603860).

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

234247101100 is a wasteful number, since it uses less digits than its factorization.

234247101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8480 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 234247101100 its reverse (1101742432), we get a palindrome (235348843532).

The spelling of 234247101100 in words is "two hundred thirty-four billion, two hundred forty-seven million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 89 100 103 124 155 178 206 310 356 412 445 515 620 775 890 1030 1550 1780 2060 2225 2575 2759 3100 3193 4450 5150 5518 6386 8243 8900 9167 10300 11036 12772 13795 15965 16486 18334 27590 31930 32972 36668 41215 45835 55180 63860 68975 79825 82430 91670 137950 159650 164860 183340 206075 229175 255533 275900 284177 319300 412150 458350 511066 568354 733627 824300 849029 916700 1022132 1136708 1277665 1420885 1467254 1698058 2555330 2841770 2934508 3396116 3668135 4245145 5110660 5683540 6388325 7104425 7336270 8490290 12776650 14208850 14672540 16980580 18340675 21225725 22742437 25553300 26319899 28417700 36681350 42451450 45484874 52639798 73362700 75563581 84902900 90969748 105279596 113712185 131599495 151127162 227424370 263198990 302254324 377817905 454848740 526397980 568560925 657997475 755635810 1137121850 1315994950 1511271620 1889089525 2274243700 2342471011 2631989900 3778179050 4684942022 7556358100 9369884044 11712355055 23424710110 46849420220 58561775275 117123550550 234247101100