Search a number
-
+
122213322230100 = 22352563723583909
BaseRepresentation
bin11011110010011100000001…
…101010001000100101010100
3121000201110221120000222110120
4123302130001222020211110
5112004320340442330400
61111532005233351540
734512423024551223
oct3362340152104524
9530643846028416
10122213322230100
1135a39419338912
12118599164085b0
1353268890641aa
142227229088cba
15e1e0b0459ca0
hex6f2701a88954

122213322230100 has 72 divisors (see below), whose sum is σ = 354231950308320. Its totient is φ = 32532332503680.

The previous prime is 122213322230089. The next prime is 122213322230107. The reversal of 122213322230100 is 1032223312221.

It is a super-2 number, since 2×1222133222301002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122213322230107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361623055 + ... + 361960854.

Almost surely, 2122213322230100 is an apocalyptic number.

122213322230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122213322230100 is an abundant number, since it is smaller than the sum of its proper divisors (232018628078220).

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

122213322230100 is a wasteful number, since it uses less digits than its factorization.

122213322230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723584489 (or 723584482 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122213322230100 its reverse (1032223312221), we get a palindrome (123245545542321).

The spelling of 122213322230100 in words is "one hundred twenty-two trillion, two hundred thirteen billion, three hundred twenty-two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 563 1126 1689 2252 2815 3378 5630 6756 8445 11260 14075 16890 28150 33780 42225 56300 84450 168900 723583909 1447167818 2170751727 2894335636 3617919545 4341503454 7235839090 8683006908 10853758635 14471678180 18089597725 21707517270 36179195450 43415034540 54268793175 72358390900 108537586350 217075172700 407377740767 814755481534 1222133222301 1629510963068 2036888703835 2444266444602 4073777407670 4888532889204 6110666111505 8147554815340 10184443519175 12221332223010 20368887038350 24442664446020 30553330557525 40737774076700 61106661115050 122213322230100