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1000112220200 = 235217734029461
BaseRepresentation
bin11101000110110110101…
…01010110100000101000
310112121110112120210122202
432203123111112200220
5112341212212021300
62043240055435332
7132153466415432
oct16433325264050
93477415523582
101000112220200
11356166303665
121419b3685b48
13734055ca622
14365972d9652
151b036531ad5
hexe8db556828

1000112220200 has 96 divisors (see below), whose sum is σ = 2495768173560. Its totient is φ = 371355033600.

The previous prime is 1000112220181. The next prime is 1000112220227. The reversal of 1000112220200 is 20222110001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 219430412356 + 780681807844 = 468434^2 + 883562^2 .

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 23 ways as a sum of consecutive naturals, for example, 1766531 + ... + 2262930.

Almost surely, 21000112220200 is an apocalyptic number.

1000112220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000112220200 is an abundant number, since it is smaller than the sum of its proper divisors (1495655953360).

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

1000112220200 is a wasteful number, since it uses less digits than its factorization.

1000112220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029567 (or 4029558 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1000112220200 its reverse (20222110001), we get a palindrome (1020334330201).

The spelling of 1000112220200 in words is "one trillion, one hundred twelve million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 73 85 100 136 146 170 200 292 340 365 425 584 680 730 850 1241 1460 1700 1825 2482 2920 3400 3650 4964 6205 7300 9928 12410 14600 24820 31025 49640 62050 124100 248200 4029461 8058922 16117844 20147305 32235688 40294610 68500837 80589220 100736525 137001674 161178440 201473050 274003348 294150653 342504185 402946100 548006696 588301306 685008370 805892200 1176602612 1370016740 1470753265 1712520925 2353205224 2740033480 2941506530 3425041850 5000561101 5883013060 6850083700 7353766325 10001122202 11766026120 13700167400 14707532650 20002244404 25002805505 29415065300 40004488808 50005611010 58830130600 100011222020 125014027525 200022444040 250028055050 500056110100 1000112220200