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2100011020120 = 2351328370120357
BaseRepresentation
bin11110100011110010011…
…010010010111101011000
321102202111101020001222101
4132203302122102331120
5233401310310120440
64244422020133144
7304502142102136
oct36436232227530
97382441201871
102100011020120
1173a678523522
1229abb55371b4
13123051431aa0
14738d917c756
153995d19269a
hex1e8f2692f58

2100011020120 has 128 divisors (see below), whose sum is σ = 5114004517440. Its totient is φ = 771508684800.

The previous prime is 2100011020111. The next prime is 2100011020123. The reversal of 2100011020120 is 210201100012.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100011020097 and 2100011020106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100011020123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103148982 + ... + 103169338.

Almost surely, 22100011020120 is an apocalyptic number.

2100011020120 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 2100011020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557002258720).

2100011020120 is an abundant number, since it is smaller than the sum of its proper divisors (3013993497320).

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

2100011020120 is a wasteful number, since it uses less digits than its factorization.

2100011020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21365 (or 21361 counting only the distinct ones).

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

Adding to 2100011020120 its reverse (210201100012), we get a palindrome (2310212120132).

The spelling of 2100011020120 in words is "two trillion, one hundred billion, eleven million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 283 520 566 701 1132 1402 1415 2264 2804 2830 3505 3679 5608 5660 7010 7358 9113 11320 14020 14716 18226 18395 20357 28040 29432 36452 36790 40714 45565 72904 73580 81428 91130 101785 147160 162856 182260 198383 203570 264641 364520 396766 407140 529282 793532 814280 991915 1058564 1323205 1587064 1983830 2117128 2578979 2646410 3967660 5157958 5292820 5761031 7935320 10315916 10585640 11522062 12894895 14270257 20631832 23044124 25789790 28540514 28805155 46088248 51579580 57081028 57610310 71351285 74893403 103159160 114162056 115220620 142702570 149786806 185513341 230441240 285405140 299573612 371026682 374467015 570810280 599147224 742053364 748934030 927566705 1484106728 1497868060 1855133410 2995736120 3710266820 4038482731 7420533640 8076965462 16153930924 20192413655 32307861848 40384827310 52500275503 80769654620 105000551006 161539309240 210001102012 262501377515 420002204024 525002755030 1050005510060 2100011020120