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243400102000 = 245311101109541
BaseRepresentation
bin1110001010101111000…
…1101101000001110000
3212021020222020022002121
43202223301231001300
512441440411231000
6303452204524024
723404452505426
oct3425361550160
9767228208077
10243400102000
11942530151a0
123b20a250614
1319c4c931ac3
14bad0085116
1564e86d3b1a
hex38abc6d070

243400102000 has 160 divisors (see below), whose sum is σ = 648408017088. Its totient is φ = 87632000000.

The previous prime is 243400101979. The next prime is 243400102007. The reversal of 243400102000 is 201004342.

It is a super-2 number, since 2×2434001020002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243400102007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2167230 + ... + 2276770.

Almost surely, 2243400102000 is an apocalyptic number.

243400102000 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 243400102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324204008544).

243400102000 is an abundant number, since it is smaller than the sum of its proper divisors (405007915088).

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

243400102000 is a wasteful number, since it uses less digits than its factorization.

243400102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109676 (or 109660 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 243400102000 its reverse (201004342), we get a palindrome (243601106342).

The spelling of 243400102000 in words is "two hundred forty-three billion, four hundred million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 125 176 200 202 220 250 275 400 404 440 500 505 550 808 880 1000 1010 1100 1111 1375 1616 2000 2020 2200 2222 2525 2750 4040 4400 4444 5050 5500 5555 8080 8888 10100 11000 11110 12625 17776 20200 22000 22220 25250 27775 40400 44440 50500 55550 88880 101000 109541 111100 138875 202000 219082 222200 277750 438164 444400 547705 555500 876328 1095410 1111000 1204951 1752656 2190820 2222000 2409902 2738525 4381640 4819804 5477050 6024755 8763280 9639608 10954100 11063641 12049510 13692625 19279216 21908200 22127282 24099020 27385250 30123775 43816400 44254564 48198040 54770500 55318205 60247550 88509128 96396080 109541000 110636410 120495100 121700051 150618875 177018256 219082000 221272820 240990200 243400102 276591025 301237750 442545640 481980400 486800204 553182050 602475500 608500255 885091280 973600408 1106364100 1204951000 1217000510 1382955125 1947200816 2212728200 2409902000 2434001020 2765910250 3042501275 4425456400 4868002040 5531820500 6085002550 9736004080 11063641000 12170005100 15212506375 22127282000 24340010200 30425012750 48680020400 60850025500 121700051000 243400102000