Search a number
-
+
21102974712 = 2334229142211
BaseRepresentation
bin10011101001110101…
…011101011011111000
32000110200222012010000
4103221311131123320
5321204330142322
613410005553000
71344644216421
oct235165353370
960420865100
1021102974712
118a4a096276
12410b415760
131cb405a5b1
14104299a648
158379dd3ac
hex4e9d5d6f8

21102974712 has 80 divisors (see below), whose sum is σ = 59366399400. Its totient is φ = 7003558080.

The previous prime is 21102974699. The next prime is 21102974713. The reversal of 21102974712 is 21747920112.

It is a super-2 number, since 2×211029747122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102974713) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77287 + ... + 219497.

Almost surely, 221102974712 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 21102974712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29683199700).

21102974712 is an abundant number, since it is smaller than the sum of its proper divisors (38263424688).

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

21102974712 is a wasteful number, since it uses less digits than its factorization.

21102974712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142458 (or 142445 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 21102974712 in words is "twenty-one billion, one hundred two million, nine hundred seventy-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 229 324 458 648 687 916 1374 1832 2061 2748 4122 5496 6183 8244 12366 16488 18549 24732 37098 49464 74196 142211 148392 284422 426633 568844 853266 1137688 1279899 1706532 2559798 3413064 3839697 5119596 7679394 10239192 11519091 15358788 23038182 30717576 32566319 46076364 65132638 92152728 97698957 130265276 195397914 260530552 293096871 390795828 586193742 781591656 879290613 1172387484 1758581226 2344774968 2637871839 3517162452 5275743678 7034324904 10551487356 21102974712