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100220020100 = 225217193102787
BaseRepresentation
bin101110101010110010…
…1000010010110000100
3100120200111122112002022
41131111211002112010
53120222311120400
6114012422502312
710145355054344
oct1352545022604
9316614575068
10100220020100
11395596524a2
121750b594998
1395b2286355
144bca374d24
1529186eab85
hex1755942584

100220020100 has 72 divisors (see below), whose sum is σ = 242389798560. Its totient is φ = 35744094720.

The previous prime is 100220020099. The next prime is 100220020133. The reversal of 100220020100 is 1020022001.

100220020100 is digitally balanced in base 3, 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, 1519094 + ... + 1583693.

It is an arithmetic number, because the mean of its divisors is an integer number (3366524980).

Almost surely, 2100220020100 is an apocalyptic number.

100220020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220020100 is an abundant number, since it is smaller than the sum of its proper divisors (142169778460).

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

100220020100 is a wasteful number, since it uses less digits than its factorization.

100220020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102837 (or 3102830 counting only the distinct ones).

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

Adding to 100220020100 its reverse (1020022001), we get a palindrome (101240042101).

The spelling of 100220020100 in words is "one hundred billion, two hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 6460 8075 16150 32300 3102787 6205574 12411148 15513935 31027870 52747379 58952953 62055740 77569675 105494758 117905906 155139350 210989516 235811812 263736895 294764765 310278700 527473790 589529530 1002200201 1054947580 1179059060 1318684475 1473823825 2004400402 2637368950 2947647650 4008800804 5011001005 5274737900 5895295300 10022002010 20044004020 25055005025 50110010050 100220020100