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10010331032300 = 22521729434722077
BaseRepresentation
bin1001000110101011011000…
…1110011010101011101100
31022102222102011220001220022
42101222312032122223230
52303002124221013200
633142403234541312
72052136222564064
oct221526616325354
938388364801808
1010010331032300
11320a3a2998545
12115809b737838
13577c7c5ba5a1
142687072223a4
151255d1dde885
hex91ab639aaec

10010331032300 has 144 divisors (see below), whose sum is σ = 24346656401760. Its totient is φ = 3554023280640.

The previous prime is 10010331032287. The next prime is 10010331032309. The reversal of 10010331032300 is 323013301001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10010331032309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241139 + ... + 4480938.

It is an arithmetic number, because the mean of its divisors is an integer number (169074002790).

Almost surely, 210010331032300 is an apocalyptic number.

10010331032300 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 10010331032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12173328200880).

10010331032300 is an abundant number, since it is smaller than the sum of its proper divisors (14336325369460).

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

10010331032300 is a wasteful number, since it uses less digits than its factorization.

10010331032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722180 (or 4722173 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10010331032300 its reverse (323013301001), we get a palindrome (10333344333301).

The spelling of 10010331032300 in words is "ten trillion, ten billion, three hundred thirty-one million, thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 43 50 58 68 85 86 100 116 145 170 172 215 290 340 425 430 493 580 725 731 850 860 986 1075 1247 1450 1462 1700 1972 2150 2465 2494 2900 2924 3655 4300 4930 4988 6235 7310 9860 12325 12470 14620 18275 21199 24650 24940 31175 36550 42398 49300 62350 73100 84796 105995 124700 211990 423980 529975 1059950 2119900 4722077 9444154 18888308 23610385 47220770 80275309 94441540 118051925 136940233 160550618 203049311 236103850 273880466 321101236 401376545 406098622 472207700 547760932 684701165 802753090 812197244 1015246555 1369402330 1605506180 2006882725 2030493110 2327983961 2738804660 3423505825 3451838287 4013765450 4060986220 4655967922 5076232775 5888430019 6847011650 6903676574 8027530900 9311935844 10152465550 11639919805 11776860038 13694023300 13807353148 17259191435 20304931100 23279839610 23553720076 29442150095 34518382870 46559679220 58199599025 58884300190 69036765740 86295957175 100103310323 116399198050 117768600380 147210750475 172591914350 200206620646 232798396100 294421500950 345183828700 400413241292 500516551615 588843001900 1001033103230 2002066206460 2502582758075 5005165516150 10010331032300