Search a number
-
+
122201331203300 = 22521979780698231
BaseRepresentation
bin11011110010010000110110…
…111011111111110011100100
3121000200022222212210201000212
4123302100312323333303210
5112004121311242001200
61111522303324154552
734511516622526346
oct3362206673776344
9530608885721025
10122201331203300
1135a34325755a08
121185752a698a58
1353256c7a21a6b
14222680c725296
15e1db0c8ad035
hex6f2436effce4

122201331203300 has 72 divisors (see below), whose sum is σ = 279483800850240. Its totient is φ = 46249769577600.

The previous prime is 122201331203293. The next prime is 122201331203309. The reversal of 122201331203300 is 3302133102221.

It is not an unprimeable number, because it can be changed into a prime (122201331203309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38834816 + ... + 41863415.

Almost surely, 2122201331203300 is an apocalyptic number.

122201331203300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201331203300 is an abundant number, since it is smaller than the sum of its proper divisors (157282469646940).

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

122201331203300 is a wasteful number, since it uses less digits than its factorization.

122201331203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80699061 (or 80699054 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122201331203300 its reverse (3302133102221), we get a palindrome (125503464305521).

The spelling of 122201331203300 in words is "one hundred twenty-two trillion, two hundred one billion, three hundred thirty-one million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 797 950 1594 1900 3188 3985 7970 15143 15940 19925 30286 39850 60572 75715 79700 151430 302860 378575 757150 1514300 80698231 161396462 322792924 403491155 806982310 1533266389 1613964620 2017455775 3066532778 4034911550 6133065556 7666331945 8069823100 15332663890 30665327780 38331659725 64316490107 76663319450 128632980214 153326638900 257265960428 321582450535 643164901070 1222013312033 1286329802140 1607912252675 2444026624066 3215824505350 4888053248132 6110066560165 6431649010700 12220133120330 24440266240660 30550332800825 61100665601650 122201331203300