Search a number
-
+
1123312000212 = 223331133443849
BaseRepresentation
bin10000010110001010100…
…111001101110011010100
310222101110112201002011000
4100112022213031303110
5121401020333001322
62220013054343300
7144104501313513
oct20261247156324
93871415632130
101123312000212
113a3437380876
12161856abab30
1381c0a6a733c
143c5235b067a
151e3473903ac
hex1058a9cdcd4

1123312000212 has 48 divisors (see below), whose sum is σ = 2921654736000. Its totient is φ = 373233343680.

The previous prime is 1123312000189. The next prime is 1123312000277. The reversal of 1123312000212 is 2120002133211.

1123312000212 is a `hidden beast` number, since 112 + 331 + 200 + 0 + 21 + 2 = 666.

It is a super-3 number, since 3×11233120002123 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16688337 + ... + 16755512.

It is an arithmetic number, because the mean of its divisors is an integer number (60867807000).

Almost surely, 21123312000212 is an apocalyptic number.

1123312000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1123312000212 is an abundant number, since it is smaller than the sum of its proper divisors (1798342735788).

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

1123312000212 is a wasteful number, since it uses less digits than its factorization.

1123312000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33444173 (or 33444165 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1123312000212 its reverse (2120002133211), we get a palindrome (3243314133423).

The spelling of 1123312000212 in words is "one trillion, one hundred twenty-three billion, three hundred twelve million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 311 622 933 1244 1866 2799 3732 5598 8397 11196 16794 33588 33443849 66887698 100331547 133775396 200663094 300994641 401326188 601989282 902983923 1203978564 1805967846 3611935692 10401037039 20802074078 31203111117 41604148156 62406222234 93609333351 124812444468 187218666702 280828000053 374437333404 561656000106 1123312000212