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11300030232320 = 285192811653521
BaseRepresentation
bin1010010001101111111001…
…0010011011011100000000
31111000021100112110200000002
42210123332102123130000
52440114430214413240
640011055012415132
72244254166112604
oct244337622333400
944007315420002
1011300030232320
1136673525251a5
1213260313174a8
1363c7855a95bb
142b0cd2707504
15148e1683ad15
hexa46fe49b700

11300030232320 has 144 divisors (see below), whose sum is σ = 28593099269280. Its totient is φ = 4266875289600.

The previous prime is 11300030232287. The next prime is 11300030232329. The reversal of 11300030232320 is 2323203000311.

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

It is a junction number, because it is equal to n+sod(n) for n = 11300030232292 and 11300030232301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300030232329) 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, 6007160 + ... + 7660680.

It is an arithmetic number, because the mean of its divisors is an integer number (198563189370).

Almost surely, 211300030232320 is an apocalyptic number.

11300030232320 is a gapful number since it is divisible by the number (10) 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 11300030232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296549634640).

11300030232320 is an abundant number, since it is smaller than the sum of its proper divisors (17293069036960).

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

11300030232320 is a wasteful number, since it uses less digits than its factorization.

11300030232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653842 (or 1653828 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 11300030232320 its reverse (2323203000311), we get a palindrome (13623233232631).

The spelling of 11300030232320 in words is "eleven trillion, three hundred billion, thirty million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 281 304 320 380 562 608 640 760 1124 1216 1280 1405 1520 2248 2432 2810 3040 4496 4864 5339 5620 6080 8992 10678 11240 12160 17984 21356 22480 24320 26695 35968 42712 44960 53390 71936 85424 89920 106780 170848 179840 213560 341696 359680 427120 683392 854240 1366784 1653521 1708480 3307042 3416960 6614084 6833920 8267605 13228168 16535210 26456336 31416899 33070420 52912672 62833798 66140840 105825344 125667596 132281680 157084495 211650688 251335192 264563360 314168990 423301376 464639401 502670384 529126720 628337980 929278802 1005340768 1058253440 1256675960 1858557604 2010681536 2116506880 2323197005 2513351920 3717115208 4021363072 4646394010 5026703840 7434230416 8042726144 8828148619 9292788020 10053407680 14868460832 17656297238 18585576040 20106815360 29736921664 35312594476 37171152080 40213630720 44140743095 59473843328 70625188952 74342304160 88281486190 118947686656 141250377904 148684608320 176562972380 282500755808 297369216640 353125944760 565001511616 594738433280 706251889520 1130003023232 1412503779040 2260006046464 2825007558080 5650015116160 11300030232320