Search a number
-
+
21323113222120 = 23529591399722259
BaseRepresentation
bin1001101100100101011001…
…00101101100111111101000
32210111110200102102022000121
410312102230211230333220
510243324213441101440
6113203411502213024
74330354423604443
oct466225445547750
983443612368017
1021323113222120
116881099581096
12248468b584174
13bb89b7a60168
1453a08936865a
1526e9e2ed334a
hex1364ac96cfe8

21323113222120 has 128 divisors (see below), whose sum is σ = 50478467760000. Its totient is φ = 8094612800512.

The previous prime is 21323113222063. The next prime is 21323113222139. The reversal of 21323113222120 is 2122231132312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957943551 + ... + 957965809.

It is an arithmetic number, because the mean of its divisors is an integer number (394363029375).

Almost surely, 221323113222120 is an apocalyptic number.

21323113222120 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 21323113222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25239233880000).

21323113222120 is an abundant number, since it is smaller than the sum of its proper divisors (29155354537880).

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

21323113222120 is a wasteful number, since it uses less digits than its factorization.

21323113222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36355 (or 36351 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 21323113222120 its reverse (2122231132312), we get a palindrome (23445344354432).

The spelling of 21323113222120 in words is "twenty-one trillion, three hundred twenty-three billion, one hundred thirteen million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 59 116 118 145 232 236 290 295 472 580 590 1160 1180 1711 2360 3422 6844 8555 13688 13997 17110 22259 27994 34220 44518 55988 68440 69985 89036 111295 111976 139970 178072 222590 279940 405913 445180 559880 645511 811826 825823 890360 1291022 1313281 1623652 1651646 2029565 2582044 2626562 3227555 3247304 3303292 4059130 4129115 5164088 5253124 6455110 6566405 6606584 8118260 8258230 10506248 12910220 13132810 16236520 16516460 23948867 25820440 26265620 33032920 38085149 47897734 52531240 76170298 95795468 119744335 152340596 190425745 191590936 239488670 304681192 311559223 380851490 478977340 623118446 761702980 957954680 1246236892 1523405960 1557796115 2492473784 3115592230 6231184460 9035217467 12462368920 18070434934 18381994157 36140869868 36763988314 45176087335 72281739736 73527976628 90352174670 91909970785 147055953256 180704349340 183819941570 361408698680 367639883140 533077830553 735279766280 1066155661106 2132311322212 2665389152765 4264622644424 5330778305530 10661556611060 21323113222120