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110020012210100 = 22524619437252893
BaseRepresentation
bin11001000001000000000111…
…101111101111011110110100
3112102112210212211001101110202
4121001000013233233132310
5103410031441111210400
61025554255034540032
732113453315506446
oct3101000757573664
9472483784041422
10110020012210100
1132068252749903
121040a747597618
134950ac53628b5
141d24dd5ac4496
15cabd165914d5
hex641007bef7b4

110020012210100 has 72 divisors (see below), whose sum is σ = 239287607847288. Its totient is φ = 43907715980800.

The previous prime is 110020012210027. The next prime is 110020012210139. The reversal of 110020012210100 is 1012210020011.

It can be written as a sum of positive squares in 12 ways, for example, as 44744406643876 + 65275605566224 = 6689126^2 + 8079332^2 .

It is a congruent number.

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, 434919254 + ... + 435172146.

It is an arithmetic number, because the mean of its divisors is an integer number (3323438997879).

Almost surely, 2110020012210100 is an apocalyptic number.

110020012210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020012210100 is an abundant number, since it is smaller than the sum of its proper divisors (129267595637188).

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

110020012210100 is a wasteful number, since it uses less digits than its factorization.

110020012210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262805 (or 262798 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110020012210100 its reverse (1012210020011), we get a palindrome (111032222230111).

The spelling of 110020012210100 in words is "one hundred ten trillion, twenty billion, twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 461 922 1844 2305 4610 9220 9437 11525 18874 23050 37748 46100 47185 94370 188740 235925 252893 471850 505786 943700 1011572 1264465 2528930 4350457 5057860 6322325 8700914 12644650 17401828 21752285 25289300 43504570 87009140 108761425 116583673 217522850 233167346 435045700 466334692 582918365 1165836730 2331673460 2386551241 2914591825 4773102482 5829183650 9546204964 11658367300 11932756205 23865512410 47731024820 59663781025 119327562050 238655124100 1100200122101 2200400244202 4400800488404 5501000610505 11002001221010 22004002442020 27505003052525 55010006105050 110020012210100