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1000200022101 = 3472463719757
BaseRepresentation
bin11101000111000001001…
…00010010100001010101
310112121200122210121020000
432203200210102201111
5112341402201201401
62043252513401513
7132155613624600
oct16434044224125
93477618717200
101000200022101
11356200923515
12141a18b69299
137341a85cc07
14365a4c33337
151b03e0c7186
hexe8e0912855

1000200022101 has 120 divisors (see below), whose sum is σ = 1746545518080. Its totient is φ = 568762907328.

The previous prime is 1000200022099. The next prime is 1000200022127. The reversal of 1000200022101 is 1012200020001.

It is not a de Polignac number, because 1000200022101 - 21 = 1000200022099 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000200022501) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1321267815 + ... + 1321268571.

It is an arithmetic number, because the mean of its divisors is an integer number (14554545984).

Almost surely, 21000200022101 is an apocalyptic number.

It is an amenable number.

1000200022101 is a deficient number, since it is larger than the sum of its proper divisors (746345495979).

1000200022101 is an equidigital number, since it uses as much as digits as its factorization.

1000200022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1949 counting only the distinct ones).

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

Adding to 1000200022101 its reverse (1012200020001), we get a palindrome (2012400042102).

The spelling of 1000200022101 in words is "one trillion, two hundred million, twenty-two thousand, one hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 463 567 719 757 1323 1389 2157 2271 3241 3969 4167 5033 5299 6471 6813 9723 12501 15099 15897 19413 20439 22687 29169 35231 37093 37503 45297 47691 58239 61317 68061 87507 105693 111279 135891 143073 204183 262521 317079 332897 333837 350491 407673 429219 544283 612549 951237 998691 1001511 1051473 1632849 1837647 2330279 2453437 2853711 2996073 3004533 3154419 3809981 4898547 6990837 7360311 8988219 9463257 11429943 14695641 16311953 17174059 20972511 22080933 26669867 26964657 28389771 34289829 44086923 48935859 51522177 62917533 66242799 80009601 102869487 146807577 154566531 188752599 198728397 240028803 252003029 308608461 440422731 463699593 720086409 756009087 1321268193 1391098779 1764021203 2160259227 2268027261 5292063609 6804081783 12348148421 15876190827 20412245349 37044445263 47628572481 111133335789 142885717443 333400007367 1000200022101