Search a number
-
+
23111333221100 = 22523161235751853
BaseRepresentation
bin1010100000101000001101…
…10011101001001011101100
310000211102101112211102000012
411100110012303221023230
511012124002301033400
6121053111102552352
74603511245032305
oct520240663511354
9100742345742005
1023111333221100
117400509101643
12271316a8986b8
13cb850a5aa957
1459c8474257ac
152a12a3775d35
hex150506ce92ec

23111333221100 has 144 divisors (see below), whose sum is σ = 52641404234496. Its totient is φ = 8795758464000.

The previous prime is 23111333221073. The next prime is 23111333221103. The reversal of 23111333221100 is 112233311132.

It is not an unprimeable number, because it can be changed into a prime (23111333221103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445682774 + ... + 445734626.

It is an arithmetic number, because the mean of its divisors is an integer number (365565307184).

Almost surely, 223111333221100 is an apocalyptic number.

23111333221100 is a gapful number since it is divisible by the number (20) 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 23111333221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26320702117248).

23111333221100 is an abundant number, since it is smaller than the sum of its proper divisors (29530071013396).

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

23111333221100 is a wasteful number, since it uses less digits than its factorization.

23111333221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54316 (or 54309 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 23111333221100 its reverse (112233311132), we get a palindrome (23223566532232).

The spelling of 23111333221100 in words is "twenty-three trillion, one hundred eleven billion, three hundred thirty-three million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 61 62 100 122 124 155 244 305 310 610 620 775 1220 1525 1550 1891 2357 3050 3100 3782 4714 6100 7564 9428 9455 11785 18910 23570 37820 47140 47275 51853 58925 73067 94550 103706 117850 143777 146134 189100 207412 235700 259265 287554 292268 365335 518530 575108 718885 730670 1037060 1296325 1437770 1461340 1607443 1826675 2592650 2875540 3163033 3214886 3594425 3653350 4457087 5185300 6326066 6429772 7188850 7306700 8037215 8914174 12652132 14377700 15815165 16074430 17828348 22285435 31630330 32148860 40186075 44570870 63260660 79075825 80372150 89141740 98054023 111427175 122217521 158151650 160744300 196108046 222854350 244435042 316303300 392216092 445708700 488870084 490270115 611087605 980540230 1222175210 1961080460 2444350420 2451350575 3055438025 3788743151 4902701150 6110876050 7455268781 7577486302 9805402300 12221752100 14910537562 15154972604 18943715755 29821075124 37276343905 37887431510 74552687810 75774863020 94718578775 149105375620 186381719525 189437157550 231113332211 372763439050 378874315100 462226664422 745526878100 924453328844 1155566661055 2311133322110 4622266644220 5777833305275 11555666610550 23111333221100