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3112332132 = 2237135695009
BaseRepresentation
bin1011100110000010…
…0110101101100100
322000220101212001110
42321200212231210
522333224112012
61232500025020
7140061246420
oct27140465544
98026355043
103112332132
111357915218
1272a392170
133a7a55260
142174c7b80
1513338273c
hexb9826b64

3112332132 has 96 divisors (see below), whose sum is σ = 8955475200. Its totient is φ = 819228672.

The previous prime is 3112332127. The next prime is 3112332149. The reversal of 3112332132 is 2312332113.

It is a super-2 number, since 2×31123321322 = 19373222599759330848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 = 3112332099 and 3112332108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618844 + ... + 623852.

It is an arithmetic number, because the mean of its divisors is an integer number (93286200).

Almost surely, 23112332132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477737600).

3112332132 is an abundant number, since it is smaller than the sum of its proper divisors (5843143068).

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

3112332132 is a wasteful number, since it uses less digits than its factorization.

3112332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5603 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 3112332132 is about 55788.2795217777. The cubic root of 3112332132 is about 1460.0306699005.

Adding to 3112332132 its reverse (2312332113), we get a palindrome (5424664245).

The spelling of 3112332132 in words is "three billion, one hundred twelve million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 569 1092 1138 1707 2276 3414 3983 5009 6828 7397 7966 10018 11949 14794 15027 15932 20036 22191 23898 29588 30054 35063 44382 47796 51779 60108 65117 70126 88764 103558 105189 130234 140252 155337 195351 207116 210378 260468 310674 390702 420756 455819 621348 781404 911638 1367457 1823276 2734914 2850121 5469828 5700242 8550363 11400484 17100726 19950847 34201452 37051573 39901694 59852541 74103146 79803388 111154719 119705082 148206292 222309438 239410164 259361011 444618876 518722022 778083033 1037444044 1556166066 3112332132