Search a number
-
+
200022020112020 = 2251731109317362691
BaseRepresentation
bin101101011110101101000001…
…011101001011111010010100
3222020012220210111100122112212
4231132231001131023322110
5202204130044122041040
61545224503020532552
760063054060220031
oct5536550135137224
9866186714318485
10200022020112020
1158807953876437
121a5257359b1158
13877bcc3333272
14375719031c388
15181d072341d65
hexb5eb4174be94

200022020112020 has 96 divisors (see below), whose sum is σ = 459521839881216. Its totient is φ = 72806620723200.

The previous prime is 200022020112017. The next prime is 200022020112107. The reversal of 200022020112020 is 20211020220002.

It is a junction number, because it is equal to n+sod(n) for n = 200022020111986 and 200022020112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2838875 + ... + 20201565.

It is an arithmetic number, because the mean of its divisors is an integer number (4786685832096).

Almost surely, 2200022020112020 is an apocalyptic number.

200022020112020 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 200022020112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229760919940608).

200022020112020 is an abundant number, since it is smaller than the sum of its proper divisors (259499819769196).

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

200022020112020 is a wasteful number, since it uses less digits than its factorization.

200022020112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17363841 (or 17363839 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200022020112020 its reverse (20211020220002), we get a palindrome (220233040332022).

The spelling of 200022020112020 in words is "two hundred trillion, twenty-two billion, twenty million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 1093 2108 2186 2635 4372 5270 5465 10540 10930 18581 21860 33883 37162 67766 74324 92905 135532 169415 185810 338830 371620 576011 677660 1152022 2304044 2880055 5760110 11520220 17362691 34725382 69450764 86813455 173626910 295165747 347253820 538243421 590331494 1076486842 1180662988 1475828735 2152973684 2691217105 2951657470 5382434210 5903314940 9150138157 10764868420 18300276314 18977421263 36600552628 37954842526 45750690785 75909685052 91501381570 94887106315 183002763140 189774212630 322616161471 379548425260 588300059153 645232322942 1176600118306 1290464645884 1613080807355 2353200236612 2941500295765 3226161614710 5883000591530 6452323229420 10001101005601 11766001183060 20002202011202 40004404022404 50005505028005 100011010056010 200022020112020