Search a number
-
+
122312031100 = 22527225797127
BaseRepresentation
bin111000111101001011…
…1010111101101111100
3102200201010122221220221
41301322113113231330
54000443334443400
6132104523151124
711560002052600
oct1617227275574
9380633587827
10122312031100
1147965a53326
121b8560754a4
13b6c31b26cc
145cc4427500
1532ace51c1a
hex1c7a5d7b7c

122312031100 has 108 divisors (see below), whose sum is σ = 309955067856. Its totient is φ = 41771950080.

The previous prime is 122312031097. The next prime is 122312031133. The reversal of 122312031100 is 1130213221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1210737 + ... + 1307863.

It is an arithmetic number, because the mean of its divisors is an integer number (2869954332).

Almost surely, 2122312031100 is an apocalyptic number.

122312031100 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 122312031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154977533928).

122312031100 is an abundant number, since it is smaller than the sum of its proper divisors (187643036756).

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

122312031100 is a wasteful number, since it uses less digits than its factorization.

122312031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97412 (or 97398 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122312031100 its reverse (1130213221), we get a palindrome (123442244321).

The spelling of 122312031100 in words is "one hundred twenty-two billion, three hundred twelve million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 257 350 490 514 700 980 1028 1225 1285 1799 2450 2570 3598 4900 5140 6425 7196 8995 12593 12850 17990 25186 25700 35980 44975 50372 62965 89950 97127 125930 179900 194254 251860 314825 388508 485635 629650 679889 971270 1259300 1359778 1942540 2428175 2719556 3399445 4759223 4856350 6798890 9518446 9712700 13597780 16997225 19036892 23796115 24961639 33994450 47592230 49923278 67988900 95184460 99846556 118980575 124808195 174731473 237961150 249616390 349462946 475922300 499232780 624040975 698925892 873657365 1223120311 1248081950 1747314730 2446240622 2496163900 3494629460 4368286825 4892481244 6115601555 8736573650 12231203110 17473147300 24462406220 30578007775 61156015550 122312031100