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230103503300 = 2252111957719081
BaseRepresentation
bin1101011001001100111…
…1001101000111000100
3210222221022100002201002
43112103033031013010
512232222444101200
6253412540352432
722424115335516
oct3262317150704
9728838302632
10230103503300
118964a479850
1238719245718
1318910c83518
14b1cc18dbb6
155ebb1e5bd5
hex35933cd1c4

230103503300 has 144 divisors (see below), whose sum is σ = 574410943680. Its totient is φ = 79128576000.

The previous prime is 230103503299. The next prime is 230103503321. The reversal of 230103503300 is 3305301032.

230103503300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2301035033002 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12049760 + ... + 12068840.

Almost surely, 2230103503300 is an apocalyptic number.

230103503300 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 230103503300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287205471840).

230103503300 is an abundant number, since it is smaller than the sum of its proper divisors (344307440380).

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

230103503300 is a wasteful number, since it uses less digits than its factorization.

230103503300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19702 (or 19695 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

Adding to 230103503300 its reverse (3305301032), we get a palindrome (233408804332).

The spelling of 230103503300 in words is "two hundred thirty billion, one hundred three million, five hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 577 836 950 1045 1100 1154 1900 2090 2308 2885 4180 5225 5770 6347 10450 10963 11540 12694 14425 19081 20900 21926 25388 28850 31735 38162 43852 54815 57700 63470 76324 95405 109630 120593 126940 158675 190810 209891 219260 241186 274075 317350 362539 381620 419782 477025 482372 548150 602965 634700 725078 839564 954050 1049455 1096300 1205930 1450156 1812695 1908100 2098910 2411860 3014825 3625390 3987929 4197820 5247275 6029650 7250780 7975858 9063475 10494550 11009737 12059300 15951716 18126950 19939645 20989100 22019474 36253900 39879290 44038948 55048685 79758580 99698225 110097370 121107107 199396450 209185003 220194740 242214214 275243425 398792900 418370006 484428428 550486850 605535535 836740012 1045925015 1100973700 1211071070 2091850030 2301035033 2422142140 3027677675 4183700060 4602070066 5229625075 6055355350 9204140132 10459250150 11505175165 12110710700 20918500300 23010350330 46020700660 57525875825 115051751650 230103503300