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210120222100100 = 225213198506891583
BaseRepresentation
bin101111110001101001101101…
…001100101100101010000100
31000112222022000112221202221212
4233301221231030230222010
5210020102203324200400
62022515521503230552
762154453660655514
oct5761515514545204
91015868015852855
10210120222100100
1160a50538609594
121b6968592a8458
139032337626030
1439c5c31791844
151945a9870a335
hexbf1a6d32ca84

210120222100100 has 72 divisors (see below), whose sum is σ = 516878732643840. Its totient is φ = 73499543268480.

The previous prime is 210120222100031. The next prime is 210120222100153. The reversal of 210120222100100 is 1001222021012.

210120222100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4253421092 + ... + 4253470491.

It is an arithmetic number, because the mean of its divisors is an integer number (7178871286720).

Almost surely, 2210120222100100 is an apocalyptic number.

210120222100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210120222100100 is an abundant number, since it is smaller than the sum of its proper divisors (306758510543740).

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

210120222100100 is a wasteful number, since it uses less digits than its factorization.

210120222100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8506891629 (or 8506891622 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210120222100100 its reverse (1001222021012), we get a palindrome (211121444121112).

The spelling of 210120222100100 in words is "two hundred ten trillion, one hundred twenty billion, two hundred twenty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4940 6175 12350 24700 8506891583 17013783166 34027566332 42534457915 85068915830 110589590579 161630940077 170137831660 212672289575 221179181158 323261880154 425344579150 442358362316 552947952895 646523760308 808154700385 850689158300 1105895905790 1616309400770 2101202221001 2211791811580 2764739764475 3232618801540 4040773501925 4202404442002 5529479528950 8081547003850 8404808884004 10506011105005 11058959057900 16163094007700 21012022210010 42024044420020 52530055525025 105060111050050 210120222100100