Search a number
-
+
220330112302032 = 243171279211112113
BaseRepresentation
bin110010000110001110011010…
…000100111011101111010000
31001220010100112100122000202220
4302012032122010323233100
5212334342032222131112
62100334131203541040
764260216402531105
oct6206163204735720
91056110470560686
10220330112302032
1164227526444907
122086555098a780
1395c306aac66c5
143c5a06a302aac
151a71459ee298c
hexc8639a13bbd0

220330112302032 has 80 divisors (see below), whose sum is σ = 603138865213440. Its totient is φ = 69069127458816.

The previous prime is 220330112302019. The next prime is 220330112302037. The reversal of 220330112302032 is 230203211033022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 220330112301993 and 220330112302011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220330112302037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104512393 + ... + 106599720.

It is an arithmetic number, because the mean of its divisors is an integer number (7539235815168).

Almost surely, 2220330112302032 is an apocalyptic number.

It is an amenable number.

220330112302032 is an abundant number, since it is smaller than the sum of its proper divisors (382808752911408).

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

220330112302032 is a wasteful number, since it uses less digits than its factorization.

220330112302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211113420 (or 211113414 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 220330112302032 its reverse (230203211033022), we get a palindrome (450533323335054).

The spelling of 220330112302032 in words is "two hundred twenty trillion, three hundred thirty billion, one hundred twelve million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1279 2558 3837 5116 7674 10232 15348 20464 21743 30696 43486 61392 65229 86972 130458 173944 260916 347888 521832 1043664 211112113 422224226 633336339 844448452 1266672678 1688896904 2533345356 3377793808 3588905921 5066690712 7177811842 10133381424 10766717763 14355623684 21533435526 28711247368 43066871052 57422494736 86133742104 172267484208 270012392527 540024785054 810037177581 1080049570108 1620074355162 2160099140216 3240148710324 4320198280432 4590210672959 6480297420648 9180421345918 12960594841296 13770632018877 18360842691836 27541264037754 36721685383672 55082528075508 73443370767344 110165056151016 220330112302032