Search a number
-
+
122220110200 = 23523122938597
BaseRepresentation
bin111000111010011100…
…0101110000101111000
3102200110201200220011011
41301310320232011320
54000301322011300
6132051441043304
711554504536616
oct1616470560570
9380421626134
10122220110200
114791907a841
121b82b326534
13b6aa13a346
145cb613a6b6
1532a4d45eba
hex1c74e2e178

122220110200 has 96 divisors (see below), whose sum is σ = 293490322560. Its totient is φ = 47284876800.

The previous prime is 122220110179. The next prime is 122220110249. The reversal of 122220110200 is 2011022221.

It is a happy number.

It is a congruent number.

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, 14212302 + ... + 14220898.

It is an arithmetic number, because the mean of its divisors is an integer number (3057190860).

Almost surely, 2122220110200 is an apocalyptic number.

122220110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122220110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146745161280).

122220110200 is an abundant number, since it is smaller than the sum of its proper divisors (171270212360).

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

122220110200 is a wasteful number, since it uses less digits than its factorization.

122220110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10937 (or 10928 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122220110200 its reverse (2011022221), we get a palindrome (124231132421).

The spelling of 122220110200 in words is "one hundred twenty-two billion, two hundred twenty million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 2293 3100 4586 6200 8597 9172 11465 17194 18344 22930 34388 42985 45860 57325 68776 71083 85970 91720 114650 142166 171940 214925 229300 266507 284332 343880 355415 429850 458600 533014 568664 710830 859700 1066028 1332535 1421660 1719400 1777075 2132056 2665070 2843320 3554150 5330140 6662675 7108300 10660280 13325350 14216600 19712921 26650700 39425842 53301400 78851684 98564605 157703368 197129210 394258420 492823025 611100551 788516840 985646050 1222201102 1971292100 2444402204 3055502755 3942584200 4888804408 6111005510 12222011020 15277513775 24444022040 30555027550 61110055100 122220110200