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103512203300 = 2252111910149037
BaseRepresentation
bin110000001100111001…
…1101110000000100100
3100220011221110202102102
41200121303232000210
53143443111001200
6115315225431232
710323062132162
oct1403163560044
9326157422372
10103512203300
113a998a38460
121808a03b518
1399b835c74c
14501d6b8232
152a5c7576d5
hex1819cee024

103512203300 has 144 divisors (see below), whose sum is σ = 260497702080. Its totient is φ = 35305920000.

The previous prime is 103512203233. The next prime is 103512203339. The reversal of 103512203300 is 3302215301.

103512203300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2086382 + ... + 2135418.

It is an arithmetic number, because the mean of its divisors is an integer number (1809011820).

Almost surely, 2103512203300 is an apocalyptic number.

103512203300 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 103512203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130248851040).

103512203300 is an abundant number, since it is smaller than the sum of its proper divisors (156985498780).

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

103512203300 is a wasteful number, since it uses less digits than its factorization.

103512203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49182 (or 49175 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 103512203300 its reverse (3302215301), we get a palindrome (106814418601).

The spelling of 103512203300 in words is "one hundred three billion, five hundred twelve million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 101 110 190 202 209 220 275 380 404 418 475 505 550 836 950 1010 1045 1100 1111 1900 1919 2020 2090 2222 2525 3838 4180 4444 5050 5225 5555 7676 9595 10100 10450 11110 19190 20900 21109 22220 27775 38380 42218 47975 49037 55550 84436 95950 98074 105545 111100 191900 196148 211090 245185 422180 490370 527725 539407 931703 980740 1055450 1078814 1225925 1863406 2110900 2157628 2451850 2697035 3726812 4658515 4903700 4952737 5394070 9317030 9905474 10248733 10788140 13485175 18634060 19810948 20497466 23292575 24763685 26970350 40994932 46585150 49527370 51243665 53940700 54480107 93170300 94102003 99054740 102487330 108960214 123818425 188204006 204974660 217920428 247636850 256218325 272400535 376408012 470510015 495273700 512436650 544801070 941020030 1024873300 1035122033 1089602140 1362002675 1882040060 2070244066 2352550075 2724005350 4140488132 4705100150 5175610165 5448010700 9410200300 10351220330 20702440660 25878050825 51756101650 103512203300