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100021220110 = 25722910169691
BaseRepresentation
bin101110100100110111…
…0101011001100001110
3100120011122120102202201
41131021232223030032
53114320413020420
6113541001512114
710140422225500
oct1351156531416
9316148512681
10100021220110
113946740a089
1217474aa263a
13958002c316
144babbc5d70
15290602c10a
hex1749bab30e

100021220110 has 96 divisors (see below), whose sum is σ = 218802215520. Its totient is φ = 32782176000.

The previous prime is 100021220099. The next prime is 100021220129. The reversal of 100021220110 is 11022120001.

100021220110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1400365 + ... + 1470055.

It is an arithmetic number, because the mean of its divisors is an integer number (2279189745).

Almost surely, 2100021220110 is an apocalyptic number.

100021220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100021220110 is an abundant number, since it is smaller than the sum of its proper divisors (118780995410).

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

100021220110 is a wasteful number, since it uses less digits than its factorization.

100021220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69842 (or 69835 counting only the distinct ones).

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

Adding to 100021220110 its reverse (11022120001), we get a palindrome (111043340111).

The spelling of 100021220110 in words is "one hundred billion, twenty-one million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 101 145 202 203 245 290 406 490 505 707 1010 1015 1414 1421 2030 2842 2929 3535 4949 5858 7070 7105 9898 14210 14645 20503 24745 29290 41006 49490 69691 102515 139382 143521 205030 287042 348455 487837 696910 717605 975674 1435210 2021039 2439185 3414859 4042078 4878370 6829718 7038791 10105195 14077582 14147273 17074295 20210390 28294546 34148590 35193955 49271537 70387910 70736365 98543074 99030911 141472730 198061822 204124939 246357685 344900759 408249878 492715370 495154555 689801518 990309110 1020624695 1428874573 1724503795 2041249390 2857749146 3449007590 7144372865 10002122011 14288745730 20004244022 50010610055 100021220110