Search a number
-
+
123222021132 = 223711326948259
BaseRepresentation
bin111001011000010011…
…0101101010000001100
3102210001112222020120110
41302300212231100030
54004324314134012
6132335111320020
711621361620010
oct1626046552014
9383045866513
10123222021132
1148292689301
121ba6a980010
13b809896252
145d6d224540
153312ca373c
hex1cb09ad40c

123222021132 has 96 divisors (see below), whose sum is σ = 332739187200. Its totient is φ = 34764291072.

The previous prime is 123222021103. The next prime is 123222021151. The reversal of 123222021132 is 231120222321.

123222021132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1232220211322 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 123222021099 and 123222021108.

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, 2529219 + ... + 2577477.

It is an arithmetic number, because the mean of its divisors is an integer number (3466033200).

Almost surely, 2123222021132 is an apocalyptic number.

123222021132 is a gapful number since it is divisible by the number (12) 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 123222021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166369593600).

123222021132 is an abundant number, since it is smaller than the sum of its proper divisors (209517166068).

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

123222021132 is a wasteful number, since it uses less digits than its factorization.

123222021132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48655 (or 48653 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 123222021132 its reverse (231120222321), we get a palindrome (354342243453).

The spelling of 123222021132 in words is "one hundred twenty-three billion, two hundred twenty-two million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 269 339 452 538 678 791 807 1076 1356 1582 1614 1883 2373 3164 3228 3766 4746 5649 7532 9492 11298 22596 30397 48259 60794 91191 96518 121588 144777 182382 193036 212779 289554 337813 364764 425558 579108 638337 675626 851116 1013439 1276674 1351252 2026878 2553348 4053756 5453267 10906534 12981671 16359801 21813068 25963342 32719602 38172869 38945013 51926684 65439204 76345738 77890026 90871697 114518607 152691476 155780052 181743394 229037214 272615091 363486788 458074428 545230182 1090460364 1466928823 2933857646 4400786469 5867715292 8801572938 10268501761 17603145876 20537003522 30805505283 41074007044 61611010566 123222021132