Search a number
-
+
200222202120100 = 2252171919973104071
BaseRepresentation
bin101101100001100111011101…
…001110111100011110100100
3222020221001111112010022012021
4231201213131032330132210
5202220420032220320400
61545500450532032524
760113401551214606
oct5541473516743644
9866831445108167
10200222202120100
1158884839350a36
121a5584a2462744
138794b4627a314
143762b4065b176
15182338b76971a
hexb619dd3bc7a4

200222202120100 has 144 divisors (see below), whose sum is σ = 484495229070720. Its totient is φ = 71374737254400.

The previous prime is 200222202120097. The next prime is 200222202120133. The reversal of 200222202120100 is 1021202222002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62951065 + ... + 66055135.

It is an arithmetic number, because the mean of its divisors is an integer number (3364550201880).

Almost surely, 2200222202120100 is an apocalyptic number.

200222202120100 is a gapful number since it is divisible by the number (20) 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 200222202120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242247614535360).

200222202120100 is an abundant number, since it is smaller than the sum of its proper divisors (284273026950620).

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

200222202120100 is a wasteful number, since it uses less digits than its factorization.

200222202120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106118 (or 3106111 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200222202120100 its reverse (1021202222002), we get a palindrome (201243404342102).

The spelling of 200222202120100 in words is "two hundred trillion, two hundred twenty-two billion, two hundred two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 1997 3230 3994 6460 7988 8075 9985 16150 19970 32300 33949 37943 39940 49925 67898 75886 99850 135796 151772 169745 189715 199700 339490 379430 645031 678980 758860 848725 948575 1290062 1697450 1897150 2580124 3104071 3225155 3394900 3794300 6208142 6450310 12416284 12900620 15520355 16125775 31040710 32251550 52769207 58977349 62081420 64503100 77601775 105538414 117954698 155203550 211076828 235909396 263846035 294886745 310407100 527692070 589773490 1002614933 1055384140 1179546980 1319230175 1474433725 2005229866 2638460350 2948867450 4010459732 5013074665 5276920700 5897734900 6198829787 10026149330 12397659574 20052298660 24795319148 25065373325 30994148935 50130746650 61988297870 100261493300 105380106379 117777765953 123976595740 154970744675 210760212758 235555531906 309941489350 421520425516 471111063812 526900531895 588888829765 619882978700 1053801063790 1177777659530 2002222021201 2107602127580 2355555319060 2634502659475 2944444148825 4004444042402 5269005318950 5888888297650 8008888084804 10011110106005 10538010637900 11777776595300 20022220212010 40044440424020 50055550530025 100111101060050 200222202120100