Search a number
-
+
10022022022112 = 2543107178338177
BaseRepresentation
bin1001000111010110111100…
…0100000000001111100000
31022111002120221112212221222
42101311233010000033200
52303200100114201422
633152015305234212
72053032022423352
oct221655704001740
938432527485858
1010022022022112
1132143521811a1
12115a402a92968
135790c371b139
142690d5ba30d2
15125a68471842
hex91d6f1003e0

10022022022112 has 96 divisors (see below), whose sum is σ = 20390365239552. Its totient is φ = 4845886746624.

The previous prime is 10022022022097. The next prime is 10022022022151. The reversal of 10022022022112 is 21122022022001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262495568 + ... + 262533744.

It is an arithmetic number, because the mean of its divisors is an integer number (212399637912).

Almost surely, 210022022022112 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 10022022022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10195182619776).

10022022022112 is an abundant number, since it is smaller than the sum of its proper divisors (10368343217440).

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

10022022022112 is a wasteful number, since it uses less digits than its factorization.

10022022022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40120 (or 40112 counting only the distinct ones).

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

Adding to 10022022022112 its reverse (21122022022001), we get a palindrome (31144044044113).

The spelling of 10022022022112 in words is "ten trillion, twenty-two billion, twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 86 107 172 214 344 428 688 856 1376 1712 1783 3424 3566 4601 7132 9202 14264 18404 28528 36808 38177 57056 73616 76354 76669 147232 152708 153338 190781 305416 306676 381562 610832 613352 763124 1221664 1226704 1526248 1641611 2453408 3052496 3283222 4084939 6104992 6566444 8169878 8203583 13132888 16339756 16407166 26265776 32679512 32814332 52531552 65359024 65628664 68069591 130718048 131257328 136139182 175652377 262514656 272278364 351304754 544556728 702609508 1089113456 1405219016 2178226912 2810438032 2926992413 5620876064 5853984826 7283446237 11707969652 14566892474 23415939304 29133784948 46831878608 58267569896 93663757216 116535139792 233070279584 313188188191 626376376382 1252752752764 2505505505528 5011011011056 10022022022112