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243102013400 = 235241271109397
BaseRepresentation
bin1110001001101000000…
…0100101011111011000
3212020111012022211102002
43202122000211133120
512440333103412100
6303402435500132
723364203006441
oct3423200453730
9766435284362
10243102013400
119410a826884
123b146457648
1319c02c5300c
14baa264c2c8
1564cc4512d5
hex389a0257d8

243102013400 has 96 divisors (see below), whose sum is σ = 581139679680. Its totient is φ = 94518144000.

The previous prime is 243102013381. The next prime is 243102013439. The reversal of 243102013400 is 4310201342.

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

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 23 ways as a sum of consecutive naturals, for example, 2167502 + ... + 2276898.

It is an arithmetic number, because the mean of its divisors is an integer number (6053538330).

Almost surely, 2243102013400 is an apocalyptic number.

243102013400 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 243102013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290569839840).

243102013400 is an abundant number, since it is smaller than the sum of its proper divisors (338037666280).

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

243102013400 is a wasteful number, since it uses less digits than its factorization.

243102013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109725 (or 109716 counting only the distinct ones).

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

Adding to 243102013400 its reverse (4310201342), we get a palindrome (247412214742).

The spelling of 243102013400 in words is "two hundred forty-three billion, one hundred two million, thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 271 328 410 542 820 1025 1084 1355 1640 2050 2168 2710 4100 5420 6775 8200 10840 11111 13550 22222 27100 44444 54200 55555 88888 109397 111110 218794 222220 277775 437588 444440 546985 555550 875176 1093970 1111100 2187940 2222200 2734925 4375880 4485277 5469850 8970554 10939700 17941108 21879400 22426385 29646587 35882216 44852770 59293174 89705540 112131925 118586348 148232935 179411080 224263850 237172696 296465870 448527700 592931740 741164675 897055400 1185863480 1215510067 1482329350 2431020134 2964658700 4862040268 5929317400 6077550335 9724080536 12155100670 24310201340 30387751675 48620402680 60775503350 121551006700 243102013400