Search a number
-
+
1122231322332 = 22321713591134921
BaseRepresentation
bin10000010101001010001…
…100110000011011011100
310222021200020012221210100
4100111022030300123130
5121341312204303312
62215313531541100
7144035636564241
oct20251214603334
93867606187710
101122231322332
113a2a3236355a
121615b4bba790
1381a97830383
143c45dc615c8
151e2d25745dc
hex1054a3306dc

1122231322332 has 72 divisors (see below), whose sum is σ = 3003862391712. Its totient is φ = 352044057600.

The previous prime is 1122231322321. The next prime is 1122231322357. The reversal of 1122231322332 is 2332231322211.

1122231322332 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 3 + 1 + 322 + 332 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1122231322296 and 1122231322305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8250232 + ... + 8385152.

It is an arithmetic number, because the mean of its divisors is an integer number (41720310996).

Almost surely, 21122231322332 is an apocalyptic number.

1122231322332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1122231322332 is an abundant number, since it is smaller than the sum of its proper divisors (1881631069380).

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

1122231322332 is a wasteful number, since it uses less digits than its factorization.

1122231322332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148539 (or 148534 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 1122231322332 its reverse (2332231322211), we get a palindrome (3454462644543).

The spelling of 1122231322332 in words is "one trillion, one hundred twenty-two billion, two hundred thirty-one million, three hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 13591 27182 40773 54364 81546 122319 134921 163092 231047 244638 269842 404763 462094 489276 539684 693141 809526 924188 1214289 1386282 1619052 2079423 2293657 2428578 2772564 4158846 4587314 4857156 6880971 8317692 9174628 13761942 20642913 27523884 41285826 82571652 1833711311 3667422622 5501133933 7334845244 11002267866 16503401799 22004535732 31173092287 33006803598 62346184574 66013607196 93519276861 124692369148 187038553722 280557830583 374077107444 561115661166 1122231322332