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100222021010100 = 223521130370309397
BaseRepresentation
bin10110110010011011000001…
…111101100000001010110100
3111010212010112222000102200210
4112302123001331200022310
5101114014144334310400
6553053205535305420
730052542052452003
oct2662330175401264
9433763488012623
10100222021010100
1129a2aa14094180
12b2a784807b270
1343bcb857621c2
141aa6ab3782c3a
15b8c011122950
hex5b26c1f602b4

100222021010100 has 72 divisors (see below), whose sum is σ = 316337142689568. Its totient is φ = 24296247516800.

The previous prime is 100222021010087. The next prime is 100222021010117. The reversal of 100222021010100 is 1010120222001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 15185151399 + ... + 15185157998.

It is an arithmetic number, because the mean of its divisors is an integer number (4393571426244).

Almost surely, 2100222021010100 is an apocalyptic number.

100222021010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222021010100 is an abundant number, since it is smaller than the sum of its proper divisors (216115121679468).

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

100222021010100 is a wasteful number, since it uses less digits than its factorization.

100222021010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30370309425 (or 30370309418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100222021010100 its reverse (1010120222001), we get a palindrome (101232141232101).

The spelling of 100222021010100 in words is "one hundred trillion, two hundred twenty-two billion, twenty-one million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 30370309397 60740618794 91110928191 121481237588 151851546985 182221856382 303703093970 334073403367 364443712764 455554640955 607406187940 668146806734 759257734925 911109281910 1002220210101 1336293613468 1518515469850 1670367016835 1822218563820 2004440420202 2277773204775 3037030939700 3340734033670 4008880840404 4555546409550 5011101050505 6681468067340 8351835084175 9111092819100 10022202101010 16703670168350 20044404202020 25055505252525 33407340336700 50111010505050 100222021010100