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143310146100 = 223521149318807
BaseRepresentation
bin1000010101110111110…
…0110100101000110100
3111200220112022201112220
42011131330310220310
54321444344133400
6145500305442340
713232234100012
oct2053574645064
9450815281486
10143310146100
1155860928980
12239363403b0
131068b5b7524
146d170c98b2
153adb62a7a0
hex215df34a34

143310146100 has 144 divisors (see below), whose sum is σ = 452482039296. Its totient is φ = 34730864000.

The previous prime is 143310146099. The next prime is 143310146107. The reversal of 143310146100 is 1641013341.

143310146100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143310146107) by changing a digit.

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, 16267897 + ... + 16276703.

It is an arithmetic number, because the mean of its divisors is an integer number (3142236384).

Almost surely, 2143310146100 is an apocalyptic number.

143310146100 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 143310146100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226241019648).

143310146100 is an abundant number, since it is smaller than the sum of its proper divisors (309171893196).

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

143310146100 is a wasteful number, since it uses less digits than its factorization.

143310146100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13766 (or 13759 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 143310146100 its reverse (1641013341), we get a palindrome (144951159441).

The spelling of 143310146100 in words is "one hundred forty-three billion, three hundred ten million, one hundred forty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 4931 8807 9862 14793 17614 19724 24655 26421 29586 35228 44035 49310 52842 54241 59172 73965 88070 96877 98620 105684 108482 123275 132105 147930 162723 176140 193754 216964 220175 246550 264210 271205 290631 295860 325446 369825 387508 440350 484385 493100 528420 542410 581262 650892 660525 739650 813615 880700 968770 1084820 1162524 1321050 1356025 1453155 1479300 1627230 1937540 2421925 2642100 2712050 2906310 3254460 4068075 4843850 5424100 5812620 7265775 8136150 9687700 14531550 16272300 29063100 43427317 86854634 130281951 173709268 217136585 260563902 434273170 477700487 521127804 651409755 868546340 955400974 1085682925 1302819510 1433101461 1910801948 2171365850 2388502435 2605639020 2866202922 3257048775 4342731700 4777004870 5732405844 6514097550 7165507305 9554009740 11942512175 13028195100 14331014610 23885024350 28662029220 35827536525 47770048700 71655073050 143310146100