Search a number
-
+
220020001124 = 2271138911631579
BaseRepresentation
bin1100110011101000110…
…1101100100101100100
3210000220120110010010112
43030322031230211210
512101100110013444
6245024212112152
721616205103140
oct3147215544544
9700816403115
10220020001124
1185345611380
1236784305658
1317994baa8a1
14a912cd2220
155acad4169e
hex333a36c964

220020001124 has 96 divisors (see below), whose sum is σ = 481996569600. Its totient is φ = 85374092160.

The previous prime is 220020001111. The next prime is 220020001127. The reversal of 220020001124 is 421100020022.

220020001124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2200200011242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 220020001099 and 220020001108.

It is not an unprimeable number, because it can be changed into a prime (220020001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139340567 + ... + 139342145.

It is an arithmetic number, because the mean of its divisors is an integer number (5020797600).

Almost surely, 2220020001124 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 220020001124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240998284800).

220020001124 is an abundant number, since it is smaller than the sum of its proper divisors (261976568476).

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

220020001124 is a wasteful number, since it uses less digits than its factorization.

220020001124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220020001124 its reverse (421100020022), we get a palindrome (641120021146).

The spelling of 220020001124 in words is "two hundred twenty billion, twenty million, one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 389 778 1163 1556 1579 2326 2723 3158 4279 4652 5446 6316 8141 8558 10892 11053 12793 16282 17116 17369 22106 25586 29953 32564 34738 44212 51172 59906 69476 89551 119812 121583 179102 243166 358204 452407 486332 614231 904814 1228462 1809628 1836377 2456924 3166849 3672754 4299617 4976477 6333698 6756541 7345508 8599234 9952954 12667396 12854639 13513082 17198468 19905908 20200147 25709278 27026164 34835339 40400294 47295787 51418556 69670678 80800588 94591574 139341356 141401029 189183148 282802058 565604116 714350653 1428701306 2857402612 5000454571 7857857183 10000909142 15715714366 20001818284 31431428732 55005000281 110010000562 220020001124