Search a number
-
+
1012333203222 = 2311101941161387
BaseRepresentation
bin11101011101100111100…
…00101100111100010110
310120210000020112001201120
432232303300230330112
5113041224300000342
62053020501504410
7133065363151515
oct16566360547426
93523006461646
101012333203222
1136036777a030
12144244412106
1374602485123
1436dd63dc67c
151b4ee3a3aec
hexebb3c2cf16

1012333203222 has 64 divisors (see below), whose sum is σ = 2232979861248. Its totient is φ = 303405680000.

The previous prime is 1012333203209. The next prime is 1012333203253. The reversal of 1012333203222 is 2223023332101.

It is a junction number, because it is equal to n+sod(n) for n = 1012333203192 and 1012333203201.

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, 6192013 + ... + 6353399.

It is an arithmetic number, because the mean of its divisors is an integer number (34890310332).

Almost surely, 21012333203222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012333203222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116489930624).

1012333203222 is an abundant number, since it is smaller than the sum of its proper divisors (1220646658026).

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

1012333203222 is a wasteful number, since it uses less digits than its factorization.

1012333203222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162445.

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

Adding to 1012333203222 its reverse (2223023332101), we get a palindrome (3235356535323).

The spelling of 1012333203222 in words is "one trillion, twelve billion, three hundred thirty-three million, two hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 941 1111 1882 2222 2823 3333 5646 6666 10351 20702 31053 62106 95041 161387 190082 285123 322774 484161 570246 968322 1045451 1775257 2090902 3136353 3550514 5325771 6272706 10651542 16300087 32600174 48900261 97800522 151865167 179300957 303730334 358601914 455595501 537902871 911191002 1075805742 1670516837 3341033674 5011550511 10023101022 15338381867 30676763734 46015145601 92030291202 168722200537 337444401074 506166601611 1012333203222