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110020021200100 = 225211117503851197
BaseRepresentation
bin11001000001000000001000…
…010010000010010011100100
3112102112210220102222010102201
4121001000020102002103210
5103410032000411400400
61025554255555344244
732113453455101404
oct3101001022022344
9472483812863381
10110020021200100
113206825782a160
121040a74a5b2084
134950ac718c81b
141d24dd6d84804
15cabd1726a06a
hex6410084824e4

110020021200100 has 72 divisors (see below), whose sum is σ = 260449918138368. Its totient is φ = 40006892956800.

The previous prime is 110020021200083. The next prime is 110020021200107. The reversal of 110020021200100 is 1002120020011.

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

It is not an unprimeable number, because it can be changed into a prime (110020021200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128827702 + ... + 129678898.

It is an arithmetic number, because the mean of its divisors is an integer number (3617359974144).

Almost surely, 2110020021200100 is an apocalyptic number.

110020021200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020021200100 is an abundant number, since it is smaller than the sum of its proper divisors (150429896938268).

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

110020021200100 is a wasteful number, since it uses less digits than its factorization.

110020021200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968725 (or 968718 counting only the distinct ones).

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

Adding to 110020021200100 its reverse (1002120020011), we get a palindrome (111022141220111).

The spelling of 110020021200100 in words is "one hundred ten trillion, twenty billion, twenty-one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 117503 235006 470012 587515 851197 1175030 1292533 1702394 2350060 2585066 2937575 3404788 4255985 5170132 5875150 6462665 8511970 9363167 11750300 12925330 17023940 18726334 21279925 25850660 32313325 37452668 42559850 46815835 64626650 85119700 93631670 129253300 187263340 234079175 468158350 936316700 100018201091 200036402182 400072804364 500091005455 1000182010910 1100200212001 2000364021820 2200400424002 2500455027275 4400800848004 5000910054550 5501001060005 10001820109100 11002002120010 22004004240020 27505005300025 55010010600050 110020021200100