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243102034100 = 225219316836043
BaseRepresentation
bin1110001001101000000…
…0101010100010110100
3212020111012100212210202
43202122000222202310
512440333110042400
6303402440140032
723364203124002
oct3423200524264
9766435325722
10243102034100
119410a840392
123b146467618
1319c02c5c573
14baa2655a72
1564cc4574d5
hex389a02a8b4

243102034100 has 144 divisors (see below), whose sum is σ = 574143252480. Its totient is φ = 89005910400.

The previous prime is 243102034099. The next prime is 243102034103. The reversal of 243102034100 is 1430201342.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243102034103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40225679 + ... + 40231721.

It is an arithmetic number, because the mean of its divisors is an integer number (3987105920).

Almost surely, 2243102034100 is an apocalyptic number.

243102034100 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 243102034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287071626240).

243102034100 is an abundant number, since it is smaller than the sum of its proper divisors (331041218380).

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

243102034100 is a wasteful number, since it uses less digits than its factorization.

243102034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 243102034100 its reverse (1430201342), we get a palindrome (244532235442).

The spelling of 243102034100 in words is "two hundred forty-three billion, one hundred two million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 95 100 124 155 190 310 380 475 589 620 683 775 950 1178 1366 1550 1900 2356 2732 2945 3100 3415 5890 6043 6830 11780 12086 12977 13660 14725 17075 21173 24172 25954 29450 30215 34150 42346 51908 58900 60430 64885 68300 84692 105865 114817 120860 129770 151075 187333 211730 229634 259540 302150 324425 374666 402287 423460 459268 529325 574085 604300 648850 749332 804574 936665 1058650 1148170 1297700 1609148 1873330 2011435 2117300 2296340 2870425 3559327 3746660 4022870 4127369 4683325 5740850 7118654 8045740 8254738 9366650 10057175 11481700 14237308 16509476 17796635 18733300 20114350 20636845 35593270 40228700 41273690 71186540 78420011 82547380 88983175 103184225 127948439 156840022 177966350 206368450 255896878 313680044 355932700 392100055 412736900 511793756 639742195 784200110 1279484390 1568400220 1960500275 2431020341 2558968780 3198710975 3921000550 4862040682 6397421950 7842001100 9724081364 12155101705 12794843900 24310203410 48620406820 60775508525 121551017050 243102034100