Search a number
-
+
210202000122212 = 227253193091047961
BaseRepresentation
bin101111110010110101110111…
…100011000110000101100100
31000120021010002210201201202122
4233302311313203012011210
5210022422144012402322
62023021244334125112
762163410342460200
oct5762656743060544
91016233083651678
10210202000122212
1160a82193128a2a
121b6aa680650798
139039c6ac24427
1439c9b8c721b00
151947c82d40442
hexbf2d778c6164

210202000122212 has 72 divisors (see below), whose sum is σ = 436008006456120. Its totient is φ = 88382163018240.

The previous prime is 210202000122203. The next prime is 210202000122271. The reversal of 210202000122212 is 212221000202012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44980951622656 + 165221048499556 = 6706784^2 + 12853834^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200057912 + ... + 201105872.

It is an arithmetic number, because the mean of its divisors is an integer number (6055666756335).

Almost surely, 2210202000122212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210202000122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218004003228060).

210202000122212 is an abundant number, since it is smaller than the sum of its proper divisors (225806006333908).

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

210202000122212 is a wasteful number, since it uses less digits than its factorization.

210202000122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067341 (or 1067332 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 210202000122212 its reverse (212221000202012), we get a palindrome (422423000324224).

The spelling of 210202000122212 in words is "two hundred ten trillion, two hundred two billion, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1484 2597 5194 10388 19309 38618 77236 135163 270326 540652 946141 1023377 1047961 1892282 2046754 2095922 3784564 4093508 4191844 7163639 7335727 14327278 14671454 28654556 29342908 50145473 51350089 55541933 100290946 102700178 111083866 200581892 205400356 222167732 388793531 777587062 1555174124 2721554717 5443109434 10886218868 20235078949 40470157898 80940315796 141645552643 283291105286 566582210572 991518868501 1072459184297 1983037737002 2144918368594 3966075474004 4289836737188 7507214290079 15014428580158 30028857160316 52550500030553 105101000061106 210202000122212