Search a number
-
+
122443209800 = 235210922272
BaseRepresentation
bin111001000001000101…
…1110001110001001000
3102201001021111112021022
41302002023301301020
54001230430203200
6132125530532012
711563154053022
oct1620213616110
9381037445238
10122443209800
1147a22aaa87a
121b891b97008
13b714421842
145cd7a13012
1532b9714885
hex1c822f1c48

122443209800 has 108 divisors (see below), whose sum is σ = 288587456955. Its totient is φ = 48314171520.

The previous prime is 122443209761. The next prime is 122443209827. The reversal of 122443209800 is 8902344221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 68621993764 + 53821216036 = 261958^2 + 231994^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247430.

It is a super-2 number, since 2×1224432098002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 539397287 + ... + 539397513.

Almost surely, 2122443209800 is an apocalyptic number.

122443209800 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 122443209800

122443209800 is an abundant number, since it is smaller than the sum of its proper divisors (166144247155).

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

122443209800 is an equidigital number, since it uses as much as digits as its factorization.

122443209800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 122443209800 in words is "one hundred twenty-two billion, four hundred forty-three million, two hundred nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 227 436 454 545 872 908 1090 1135 1816 2180 2270 2725 4360 4540 5450 5675 9080 10900 11350 11881 21800 22700 23762 24743 45400 47524 49486 51529 59405 95048 98972 103058 118810 123715 197944 206116 237620 247430 257645 297025 412232 475240 494860 515290 594050 618575 989720 1030580 1188100 1237150 1288225 2061160 2376200 2474300 2576450 2696987 4948600 5152900 5393974 5616661 10305800 10787948 11233322 13484935 21575896 22466644 26969870 28083305 44933288 53939740 56166610 67424675 107879480 112333220 134849350 140416525 224666440 269698700 280833050 539397400 561666100 612216049 1123332200 1224432098 2448864196 3061080245 4897728392 6122160490 12244320980 15305401225 24488641960 30610802450 61221604900 122443209800