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200001110120 = 235723148920857
BaseRepresentation
bin1011101001000011111…
…1101100000001101000
3201010020102101002021222
42322100333230001220
511234100241010440
6231513525521212
720310133246340
oct2722077540150
9633212332258
10200001110120
117790245a259
1232917b73208
1315b2461a556
1499742cdd20
1553085e32b5
hex2e90fec068

200001110120 has 128 divisors (see below), whose sum is σ = 537035097600. Its totient is φ = 65543233536.

The previous prime is 200001110117. The next prime is 200001110131. The reversal of 200001110120 is 21011100002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 200001110098 and 200001110107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9578732 + ... + 9599588.

It is an arithmetic number, because the mean of its divisors is an integer number (4195586700).

Almost surely, 2200001110120 is an apocalyptic number.

200001110120 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 200001110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268517548800).

200001110120 is an abundant number, since it is smaller than the sum of its proper divisors (337033987480).

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

200001110120 is a wasteful number, since it uses less digits than its factorization.

200001110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22387 (or 22383 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 200001110120 its reverse (21011100002), we get a palindrome (221012210122).

The spelling of 200001110120 in words is "two hundred billion, one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1489 1610 2978 3220 5956 6440 7445 10423 11912 14890 20846 20857 29780 34247 41692 41714 52115 59560 68494 83384 83428 104230 104285 136988 145999 166856 171235 208460 208570 239729 273976 291998 342470 416920 417140 479458 479711 583996 684940 729995 834280 958916 959422 1167992 1198645 1369880 1459990 1917832 1918844 2397290 2398555 2919980 3357977 3837688 4794580 4797110 5839960 6715954 9589160 9594220 13431908 16789885 19188440 26863816 31056073 33579770 62112146 67159540 124224292 134319080 155280365 217392511 248448584 310560730 434785022 621121460 714289679 869570044 1086962555 1242242920 1428579358 1739140088 2173925110 2857158716 3571448395 4347850220 5000027753 5714317432 7142896790 8695700440 10000055506 14285793580 20000111012 25000138765 28571587160 40000222024 50000277530 100000555060 200001110120