Search a number
-
+
202012122112 = 2102373117497
BaseRepresentation
bin1011110000100011011…
…1000101110000000000
3201022102120110002010121
42330020313011300000
511302210100401422
6232445244510024
720411022464143
oct2741067056000
9638376402117
10202012122112
1178744638339
123319954b314
131608514bc88
149ac541405a
1553c4e2d8c7
hex2f08dc5c00

202012122112 has 88 divisors (see below), whose sum is σ = 427160689056. Its totient is φ = 95290195968.

The previous prime is 202012122101. The next prime is 202012122149. The reversal of 202012122112 is 211221210202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1660548 + ... + 1778044.

Almost surely, 2202012122112 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 202012122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213580344528).

202012122112 is an abundant number, since it is smaller than the sum of its proper divisors (225148566944).

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

202012122112 is a wasteful number, since it uses less digits than its factorization.

202012122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117613 (or 117595 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202012122112 its reverse (211221210202), we get a palindrome (413233332314).

The spelling of 202012122112 in words is "two hundred two billion, twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 128 146 184 256 292 368 512 584 736 1024 1168 1472 1679 2336 2944 3358 4672 5888 6716 9344 11776 13432 18688 23552 26864 37376 53728 74752 107456 117497 214912 234994 429824 469988 859648 939976 1719296 1879952 2702431 3759904 5404862 7519808 8577281 10809724 15039616 17154562 21619448 30079232 34309124 43238896 60158464 68618248 86477792 120316928 137236496 172955584 197277463 274472992 345911168 394554926 548945984 691822336 789109852 1097891968 1383644672 1578219704 2195783936 2767289344 3156439408 4391567872 6312878816 8783135744 12625757632 25251515264 50503030528 101006061056 202012122112