Search a number
-
+
11212022000982 = 2311239839750691
BaseRepresentation
bin1010001100101000000010…
…0101101010110101010110
31110200212012002110021211110
42203022000211222311112
52432144210113012412
635502422022515450
72235020233356015
oct243120045526526
943625162407743
1011212022000982
113632aa0139410
121310b6b595b86
1363439b30bb7a
142aa944160a7c
151469b5297d3c
hexa328096ad56

11212022000982 has 64 divisors (see below), whose sum is σ = 25528812871680. Its totient is φ = 3249526816800.

The previous prime is 11212022000869. The next prime is 11212022001017. The reversal of 11212022000982 is 28900022021211.

It is a super-2 number, since 2×112120220009822 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14560257 + ... + 15310947.

It is an arithmetic number, because the mean of its divisors is an integer number (398887701120).

Almost surely, 211212022000982 is an apocalyptic number.

11212022000982 is an abundant number, since it is smaller than the sum of its proper divisors (14316790870698).

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

11212022000982 is a wasteful number, since it uses less digits than its factorization.

11212022000982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760569.

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 11212022000982 in words is "eleven trillion, two hundred twelve billion, twenty-two million, nine hundred eighty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 9839 19678 29517 59034 108229 216458 226297 324687 452594 649374 678891 750691 1357782 1501382 2252073 2489267 4504146 4978534 7467801 8257601 14935602 16515202 17265893 24772803 34531786 49545606 51797679 103595358 189924823 379849646 569774469 1139548938 7386048749 14772097498 22158146247 44316292494 81246536239 162493072478 169879121227 243739608717 339758242454 487479217434 509637363681 1019274727362 1868670333497 3737340666994 5606011000491 11212022000982