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230011002320 = 245111715375067
BaseRepresentation
bin1101011000110110111…
…0010101110111010000
3210222200212021120012212
43112031232111313100
512232030304033240
6253355434011252
722421613155411
oct3261556256720
9728625246185
10230011002320
118960223a460
12386b2276b28
13188c7a67108
14b1bdb91808
155eb3023165
hex358db95dd0

230011002320 has 80 divisors (see below), whose sum is σ = 617708731968. Its totient is φ = 78720337920.

The previous prime is 230011002271. The next prime is 230011002329. The reversal of 230011002320 is 23200110032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2300110023202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230011002295 and 230011002304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230011002329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7672574 + ... + 7702493.

Almost surely, 2230011002320 is an apocalyptic number.

230011002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230011002320 is an abundant number, since it is smaller than the sum of its proper divisors (387697729648).

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

230011002320 is a wasteful number, since it uses less digits than its factorization.

230011002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15375108 (or 15375102 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 230011002320 its reverse (23200110032), we get a palindrome (253211112352).

The spelling of 230011002320 in words is "two hundred thirty billion, eleven million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 15375067 30750134 61500268 76875335 123000536 153750670 169125737 246001072 261376139 307501340 338251474 522752278 615002680 676502948 845628685 1045504556 1230005360 1306880695 1353005896 1691257370 2091009112 2613761390 2706011792 2875137529 3382514740 4182018224 5227522780 5750275058 6765029480 10455045560 11500550116 13530058960 14375687645 20910091120 23001100232 28751375290 46002200464 57502750580 115005501160 230011002320