Search a number
-
+
2123011223220 = 2235113503962141
BaseRepresentation
bin11110111001001101010…
…101000110111010110100
321111221212022011110011110
4132321031111012322310
5234240411333120340
64303144202235020
7306245124435636
oct36711525067264
97457768143143
102123011223220
11749400541538
122a35541b5a70
13125278562514
1474a7bac0a56
153a3574e2680
hex1ee4d546eb4

2123011223220 has 96 divisors (see below), whose sum is σ = 5998323663360. Its totient is φ = 561005885440.

The previous prime is 2123011223209. The next prime is 2123011223237. The reversal of 2123011223220 is 223221103212.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34133350 + ... + 34195490.

It is an arithmetic number, because the mean of its divisors is an integer number (62482538160).

Almost surely, 22123011223220 is an apocalyptic number.

2123011223220 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 2123011223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999161831680).

2123011223220 is an abundant number, since it is smaller than the sum of its proper divisors (3875312440140).

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

2123011223220 is a wasteful number, since it uses less digits than its factorization.

2123011223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67305 (or 67303 counting only the distinct ones).

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

Adding to 2123011223220 its reverse (223221103212), we get a palindrome (2346232326432).

The spelling of 2123011223220 in words is "two trillion, one hundred twenty-three billion, eleven million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 5039 6780 10078 15117 20156 25195 30234 50390 60468 62141 75585 100780 124282 151170 186423 248564 302340 310705 372846 569407 621410 745692 932115 1138814 1242820 1708221 1864230 2277628 2847035 3416442 3728460 5694070 6832884 7021933 8541105 11388140 14043866 17082210 21065799 28087732 34164420 35109665 42131598 70219330 84263196 105328995 140438660 210657990 313128499 421315980 626256998 939385497 1252513996 1565642495 1878770994 3131284990 3757541988 4696927485 6262569980 9393854970 18787709940 35383520387 70767040774 106150561161 141534081548 176917601935 212301122322 353835203870 424602244644 530752805805 707670407740 1061505611610 2123011223220