Search a number
-
+
121232200100 = 225211389449631
BaseRepresentation
bin111000011101000000…
…0001001000110100100
3102120220212202212021012
41300322000021012210
53441240420400400
6131405430441352
711521150461344
oct1607200110644
9376825685235
10121232200100
1147461464310
121b5b4503258
13b58057405b
145c20c58d24
153248251d35
hex1c3a0091a4

121232200100 has 144 divisors (see below), whose sum is σ = 288825264000. Its totient is φ = 43803648000.

The previous prime is 121232200091. The next prime is 121232200121. The reversal of 121232200100 is 1002232121.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 192126785 + ... + 192127415.

It is an arithmetic number, because the mean of its divisors is an integer number (2005731000).

Almost surely, 2121232200100 is an apocalyptic number.

121232200100 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 121232200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144412632000).

121232200100 is an abundant number, since it is smaller than the sum of its proper divisors (167593063900).

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

121232200100 is a wasteful number, since it uses less digits than its factorization.

121232200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 121232200100 its reverse (1002232121), we get a palindrome (122234432221).

The spelling of 121232200100 in words is "one hundred twenty-one billion, two hundred thirty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 389 449 550 631 778 898 1100 1262 1556 1796 1945 2245 2524 3155 3890 4279 4490 4939 6310 6941 7780 8558 8980 9725 9878 11225 12620 13882 15775 17116 19450 19756 21395 22450 24695 27764 31550 34705 38900 42790 44900 49390 63100 69410 85580 98780 106975 123475 138820 173525 174661 213950 245459 246950 283319 347050 349322 427900 490918 493900 566638 694100 698644 873305 981836 1133276 1227295 1416595 1746610 1921271 2454590 2700049 2833190 3116509 3493220 3842542 4366525 4909180 5400098 5666380 6136475 6233018 7082975 7685084 8733050 9606355 10800196 12272950 12466036 13500245 14165950 15582545 17466100 19212710 24545900 27000490 28331900 31165090 38425420 48031775 54000980 62330180 67501225 77912725 96063550 110211091 135002450 155825450 192127100 220422182 270004900 311650900 440844364 551055455 1102110910 1212322001 2204221820 2424644002 2755277275 4849288004 5510554550 6061610005 11021109100 12123220010 24246440020 30308050025 60616100050 121232200100