Search a number
-
+
2122340130220 = 2253741199351517
BaseRepresentation
bin11110111000100101010…
…101000101110110101100
321111220010112101101122011
4132320211111011312230
5234233023033131340
64302553430331004
7306222365311402
oct36704525056654
97456115341564
102122340130220
11749096746422
122a33a74b9a64
1312519c50477b
1474a1690d472
153a3186300ea
hex1ee25545dac

2122340130220 has 96 divisors (see below), whose sum is σ = 4712590915200. Its totient is φ = 801793935360.

The previous prime is 2122340130191. The next prime is 2122340130227. The reversal of 2122340130220 is 220310432212.

It is a junction number, because it is equal to n+sod(n) for n = 2122340130191 and 2122340130200.

It is not an unprimeable number, because it can be changed into a prime (2122340130227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5861902 + ... + 6213418.

It is an arithmetic number, because the mean of its divisors is an integer number (49089488700).

Almost surely, 22122340130220 is an apocalyptic number.

2122340130220 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 2122340130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356295457600).

2122340130220 is an abundant number, since it is smaller than the sum of its proper divisors (2590250784980).

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

2122340130220 is a wasteful number, since it uses less digits than its factorization.

2122340130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351803 (or 351801 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2122340130220 its reverse (220310432212), we get a palindrome (2342650562432).

The spelling of 2122340130220 in words is "two trillion, one hundred twenty-two billion, three hundred forty million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 41 74 82 148 164 185 199 205 370 398 410 740 796 820 995 1517 1990 3034 3980 6068 7363 7585 8159 14726 15170 16318 29452 30340 32636 36815 40795 73630 81590 147260 163180 301883 351517 603766 703034 1207532 1406068 1509415 1757585 3018830 3515170 6037660 7030340 13006129 14412197 26012258 28824394 52024516 57648788 65030645 69951883 72060985 130061290 139903766 144121970 260122580 279807532 288243940 349759415 533251289 699518830 1066502578 1399037660 2133005156 2588219671 2666256445 2868027203 5176439342 5332512890 5736054406 10352878684 10665025780 11472108812 12941098355 14340136015 25882196710 28680272030 51764393420 57360544060 106117006511 212234013022 424468026044 530585032555 1061170065110 2122340130220