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243103123530 = 2345378991141
BaseRepresentation
bin1110001001101000010…
…0110100100001001010
3212020111021102020020000
43202122010310201022
512440333344423110
6303402515343430
723364215312121
oct3423204644112
9766437366200
10243103123530
1194110414943
123b1468b1b76
1319c032513b7
14baa285aab8
1564cc5c01c0
hex389a13484a

243103123530 has 160 divisors (see below), whose sum is σ = 678894883920. Its totient is φ = 62366008320.

The previous prime is 243103123517. The next prime is 243103123537. The reversal of 243103123530 is 35321301342.

243103123530 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 0 + 3 + 123 + 530 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 66519115569 + 176584007961 = 257913^2 + 420219^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 243103123494 and 243103123503.

It is not an unprimeable number, because it can be changed into a prime (243103123537) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2621760 + ... + 2712900.

Almost surely, 2243103123530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243103123530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339447441960).

243103123530 is an abundant number, since it is smaller than the sum of its proper divisors (435791760390).

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

243103123530 is a wasteful number, since it uses less digits than its factorization.

243103123530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91286 (or 91277 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 243103123530 its reverse (35321301342), we get a palindrome (278424424872).

The spelling of 243103123530 in words is "two hundred forty-three billion, one hundred three million, one hundred twenty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 89 90 111 135 162 178 185 222 267 270 333 370 405 445 534 555 666 801 810 890 999 1110 1335 1602 1665 1998 2403 2670 2997 3293 3330 4005 4806 4995 5994 6586 7209 8010 9879 9990 12015 14418 14985 16465 19758 24030 29637 29970 32930 36045 49395 59274 72090 88911 91141 98790 148185 177822 182282 266733 273423 296370 444555 455705 533466 546846 820269 889110 911410 1333665 1367115 1640538 2460807 2667330 2734230 3372217 4101345 4921614 6744434 7382421 8111549 8202690 10116651 12304035 14764842 16223098 16861085 20233302 24334647 24608070 30349953 33722170 36912105 40557745 48669294 50583255 60699906 73003941 73824210 81115490 91049859 101166510 121673235 146007882 151749765 182099718 219011823 243346470 273149577 300127313 303499530 365019705 438023646 455249295 546299154 600254626 657035469 730039410 900381939 910498590 1095059115 1314070938 1365747885 1500636565 1800763878 2190118230 2701145817 2731495770 3001273130 3285177345 4501909695 5402291634 6570354690 8103437451 9003819390 13505729085 16206874902 24310312353 27011458170 40517187255 48620624706 81034374510 121551561765 243103123530