Search a number
-
+
211020222202104 = 23378324419619739
BaseRepresentation
bin101111111110101111111001…
…011000101000000011111000
31000200011100002002221001010010
4233332233321120220003320
5210124323403340431404
62024445203553021520
762306464552422450
oct5776577130500370
91020140062831103
10211020222202104
11612681a0168a87
121b8011715548a0
1390991771196a3
143a1760cba2d60
15195e1c0c57189
hexbfebf96280f8

211020222202104 has 128 divisors (see below), whose sum is σ = 610204928256000. Its totient is φ = 59562553137024.

The previous prime is 211020222202103. The next prime is 211020222202129. The reversal of 211020222202104 is 401202222020112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211020222202103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340188667 + ... + 340808405.

It is an arithmetic number, because the mean of its divisors is an integer number (4767226002000).

Almost surely, 2211020222202104 is an apocalyptic number.

211020222202104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211020222202104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305102464128000).

211020222202104 is an abundant number, since it is smaller than the sum of its proper divisors (399184706053896).

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

211020222202104 is a wasteful number, since it uses less digits than its factorization.

211020222202104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644257 (or 644253 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 211020222202104 its reverse (401202222020112), we get a palindrome (612222444222216).

The spelling of 211020222202104 in words is "two hundred eleven trillion, twenty billion, two hundred twenty-two million, two hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1743 1992 2324 3486 4648 6972 13944 24419 48838 73257 97676 146514 170933 195352 293028 341866 512799 586056 619739 683732 1025598 1239478 1367464 1859217 2026777 2051196 2478956 3718434 4053554 4102392 4338173 4957912 6080331 7436868 8107108 8676346 12160662 13014519 14187439 14873736 16214216 17352692 24321324 26029038 28374878 34705384 42562317 48642648 51438337 52058076 56749756 85124634 102876674 104116152 113499512 154315011 170249268 205753348 308630022 340498536 360068359 411506696 617260044 720136718 1080205077 1234520088 1440273436 2160410154 2880546872 4320820308 8641640616 15133406641 30266813282 45400219923 60533626564 90800439846 105933846487 121067253128 181600879692 211867692974 317801539461 363201759384 423735385948 635603078922 847470771896 1256072751203 1271206157844 2512145502406 2542412315688 3768218253609 5024291004812 7536436507218 8792509258421 10048582009624 15072873014436 17585018516842 26377527775263 30145746028872 35170037033684 52755055550526 70340074067368 105510111101052 211020222202104