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112121130033 = 3211191373111399
BaseRepresentation
bin110100001101011110…
…0001010110000110001
3101201101220200112202200
41220122330022300301
53314111002130113
6123301400533413
711046315611013
oct1503274126061
9351356615680
10112121130033
1143606500540
1219891181269
13a75aaa5633
1455d8bb01b3
152db3435873
hex1a1af0ac31

112121130033 has 96 divisors (see below), whose sum is σ = 188068608000. Its totient is φ = 63654854400.

The previous prime is 112121130019. The next prime is 112121130061. The reversal of 112121130033 is 330031121211.

112121130033 is a `hidden beast` number, since 1 + 121 + 211 + 300 + 33 = 666.

It is not a de Polignac number, because 112121130033 - 25 = 112121130001 is a prime.

It is a super-2 number, since 2×1121211300332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112121129988 and 112121130015.

It is not an unprimeable number, because it can be changed into a prime (112121130133) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 80143068 + ... + 80144466.

It is an arithmetic number, because the mean of its divisors is an integer number (1959048000).

Almost surely, 2112121130033 is an apocalyptic number.

It is an amenable number.

112121130033 is a deficient number, since it is larger than the sum of its proper divisors (75947477967).

112121130033 is a wasteful number, since it uses less digits than its factorization.

112121130033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112121130033 its reverse (330031121211), we get a palindrome (442152251244).

The spelling of 112121130033 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred thirty thousand, thirty-three".

Divisors: 1 3 9 11 19 33 57 99 137 171 209 311 411 627 933 1233 1399 1507 1881 2603 2799 3421 4197 4521 5909 7809 10263 12591 13563 15389 17727 23427 26581 28633 30789 42607 46167 53181 64999 79743 85899 127821 138501 191663 194997 239229 257697 292391 383463 435089 468677 574989 584991 809533 877173 1305267 1406031 1724967 2108293 2428599 2631519 3641597 3915801 4218093 4785979 6324879 7285797 8266691 8904863 10924791 14357937 18974637 24800073 26714589 32774373 40057567 43073811 59607193 74400219 80143767 90933601 120172701 178821579 272800803 360518103 536464737 655679123 818402409 1132536667 1967037369 3397610001 5901112107 10192830003 12457903337 37373710011 112121130033