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1002111200200 = 235211851353507
BaseRepresentation
bin11101001010100100111…
…10110110101111001000
310112210121212000111201001
432211102132312233020
5112404310431401300
62044210304504344
7132254151441445
oct16452236665710
93483555014631
101002111200200
11356aa1713950
1214227101b0b4
13736637a8626
14367069aa9cc
151b101c9216a
hexe9527b6bc8

1002111200200 has 96 divisors (see below), whose sum is σ = 2542064484960. Its totient is φ = 364354457600.

The previous prime is 1002111200143. The next prime is 1002111200213. The reversal of 1002111200200 is 20021112001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18701847 + ... + 18755353.

It is an arithmetic number, because the mean of its divisors is an integer number (26479838385).

Almost surely, 21002111200200 is an apocalyptic number.

1002111200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002111200200 is an abundant number, since it is smaller than the sum of its proper divisors (1539953284760).

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

1002111200200 is a wasteful number, since it uses less digits than its factorization.

1002111200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62047 (or 62038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002111200200 its reverse (20021112001), we get a palindrome (1022132312201).

The spelling of 1002111200200 in words is "one trillion, two billion, one hundred eleven million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 8513 17026 34052 42565 53507 68104 85130 93643 107014 170260 187286 212825 214028 267535 340520 374572 425650 428056 468215 535070 588577 749144 851300 936430 1070140 1177154 1337675 1702600 1872860 2140280 2341075 2354308 2675350 2942885 3745720 4682150 4708616 5350700 5885770 9364300 10701400 11771540 14714425 18728600 23543080 29428850 58857700 117715400 455505091 911010182 1822020364 2277525455 3644040728 4555050910 5010556001 9110101820 10021112002 11387627275 18220203640 20042224004 22775254550 25052780005 40084448008 45550509100 50105560010 91101018200 100211120020 125263900025 200422240040 250527800050 501055600100 1002111200200