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200220202201122 = 234317212299129
BaseRepresentation
bin101101100001100101100110…
…000001110111000000100010
3222020220212100010220220010000
4231201211212001313000202
5202220401433230413442
61545455520250520430
760113301155201205
oct5541454601670042
9866825303826100
10200220202201122
1158883a0245a234
121a558024736116
1387948b7b30acc
1437629d0bc393c
1518232c0dc0d4c
hexb61966077022

200220202201122 has 60 divisors (see below), whose sum is σ = 450061338441330. Its totient is φ = 66529525500864.

The previous prime is 200220202201099. The next prime is 200220202201241. The reversal of 200220202201122 is 221102202022002.

200220202201122 is a `hidden beast` number, since 20 + 0 + 220 + 202 + 201 + 1 + 22 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16448532151041 + 183771670050081 = 4055679^2 + 13556241^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200220202201095 and 200220202201104.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10129654 + ... + 22428782.

Almost surely, 2200220202201122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200220202201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225030669220665).

200220202201122 is an abundant number, since it is smaller than the sum of its proper divisors (249841136240208).

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

200220202201122 is an equidigital number, since it uses as much as digits as its factorization.

200220202201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12299777 (or 12299451 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200220202201122 its reverse (221102202022002), we get a palindrome (421322404223124).

The spelling of 200220202201122 in words is "two hundred trillion, two hundred twenty billion, two hundred two million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 317 634 951 1902 2853 5706 8559 17118 25677 51354 100489 200978 301467 602934 904401 1808802 2713203 5426406 8139609 12299129 16279218 24598258 36897387 73794774 110692161 221384322 332076483 664152966 996229449 1992458898 3898823893 7797647786 11696471679 23392943358 35089415037 70178830074 105268245111 210536490222 315804735333 631609470666 1235927174081 2471854348162 3707781522243 7415563044486 11123344566729 22246689133458 33370033700187 66740067400374 100110101100561 200220202201122