Search a number
-
+
131121220200 = 23352613582547
BaseRepresentation
bin111101000011101101…
…1110000101001101000
3110112110001201010120220
41322013123300221220
54122014013021300
6140123010450040
712321206660625
oct1720733605150
9415401633526
10131121220200
11506765684a3
12214b4293920
13c498275139
1464bc36d34c
1536264dbda0
hex1e876f0a68

131121220200 has 96 divisors (see below), whose sum is σ = 413139435360. Its totient is φ = 34392441600.

The previous prime is 131121220183. The next prime is 131121220213. The reversal of 131121220200 is 2022121131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131121220200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1754674 + ... + 1827873.

It is an arithmetic number, because the mean of its divisors is an integer number (4303535785).

Almost surely, 2131121220200 is an apocalyptic number.

131121220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131121220200 is an abundant number, since it is smaller than the sum of its proper divisors (282018215160).

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

131121220200 is a wasteful number, since it uses less digits than its factorization.

131121220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582627 (or 3582618 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 131121220200 its reverse (2022121131), we get a palindrome (133143341331).

The spelling of 131121220200 in words is "one hundred thirty-one billion, one hundred twenty-one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 150 183 200 244 300 305 366 488 600 610 732 915 1220 1464 1525 1830 2440 3050 3660 4575 6100 7320 9150 12200 18300 36600 3582547 7165094 10747641 14330188 17912735 21495282 28660376 35825470 42990564 53738205 71650940 85981128 89563675 107476410 143301880 179127350 214952820 218535367 268691025 358254700 429905640 437070734 537382050 655606101 716509400 874141468 1074764100 1092676835 1311212202 1748282936 2149528200 2185353670 2622424404 3278030505 4370707340 5244848808 5463384175 6556061010 8741414680 10926768350 13112122020 16390152525 21853536700 26224244040 32780305050 43707073400 65560610100 131121220200