Search a number
-
+
122210100 = 22335245263
BaseRepresentation
bin1110100100011…
…00011100110100
322111221220202000
413102030130310
5222241210400
620043215300
73012524445
oct722143464
9274856660
10122210100
1162a91291
1234b17530
131c41bb8c
14123332cc
15aae0600
hex748c734

122210100 has 72 divisors (see below), whose sum is σ = 392891520. Its totient is φ = 32588640.

The previous prime is 122210047. The next prime is 122210111. The reversal of 122210100 is 1012221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19932 + ... + 25331.

Almost surely, 2122210100 is an apocalyptic number.

122210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122210100 is an abundant number, since it is smaller than the sum of its proper divisors (270681420).

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

122210100 is a wasteful number, since it uses less digits than its factorization.

122210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45286 (or 45273 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 122210100 is about 11054.8677061284. The cubic root of 122210100 is about 496.2521101709.

Adding to 122210100 its reverse (1012221), we get a palindrome (123222321).

The spelling of 122210100 in words is "one hundred twenty-two million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 45263 90526 135789 181052 226315 271578 407367 452630 543156 678945 814734 905260 1131575 1222101 1357890 1629468 2036835 2263150 2444202 2715780 3394725 4073670 4526300 4888404 6110505 6789450 8147340 10184175 12221010 13578900 20368350 24442020 30552525 40736700 61105050 122210100