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1000112020200 = 2332523715016697
BaseRepresentation
bin11101000110110110101…
…00100101101011101000
310112121110112012122022100
432203123110211223220
5112341212134121300
62043240051253400
7132153464623356
oct16433324455350
93477415178270
101000112020200
11356166187377
121419b35aa260
137340555a597
14365972867d6
151b0364e2700
hexe8db525ae8

1000112020200 has 144 divisors (see below), whose sum is σ = 3449485697580. Its totient is φ = 259488506880.

The previous prime is 1000112020157. The next prime is 1000112020207. The reversal of 1000112020200 is 20202110001.

It can be written as a sum of positive squares in 6 ways, for example, as 371107582596 + 629004437604 = 609186^2 + 793098^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000112020207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7441749 + ... + 7574948.

Almost surely, 21000112020200 is an apocalyptic number.

1000112020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000112020200 is an abundant number, since it is smaller than the sum of its proper divisors (2449373677380).

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

1000112020200 is a wasteful number, since it uses less digits than its factorization.

1000112020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15016756 (or 15016744 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000112020200 its reverse (20202110001), we get a palindrome (1020314130201).

The spelling of 1000112020200 in words is "one trillion, one hundred twelve million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1480 1665 1800 1850 2220 2664 2775 3330 3700 4440 5550 6660 7400 8325 11100 13320 16650 22200 33300 66600 15016697 30033394 45050091 60066788 75083485 90100182 120133576 135150273 150166970 180200364 225250455 270300546 300333940 360400728 375417425 450500910 540601092 555617789 600667880 675751365 750834850 901001820 1081202184 1111235578 1126252275 1351502730 1501669700 1666853367 1802003640 2222471156 2252504550 2703005460 2778088945 3003339400 3333706734 3378756825 4444942312 4505009100 5000560101 5406010920 5556177890 6667413468 6757513650 8334266835 9010018200 10001120202 11112355780 13334826936 13515027300 13890444725 16668533670 20002240404 22224711560 25002800505 27030054600 27780889450 33337067340 40004480808 41671334175 50005601010 55561778900 66674134680 83342668350 100011202020 111123557800 125014002525 166685336700 200022404040 250028005050 333370673400 500056010100 1000112020200