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3332221122132 = 22357539240461
BaseRepresentation
bin110000011111010111110…
…110110011011001010100
3102210120001012220220100000
4300133113312303121110
5414043342101402012
611030445023051300
7462513355126140
oct60372766633124
912716035826300
103332221122132
111075206a52a31
12459982140b30
131b22c4c3c346
14b73cd45c220
155ba2aa1bddc
hex307d7db3654

3332221122132 has 144 divisors (see below), whose sum is σ = 10171309180032. Its totient is φ = 934099620480.

The previous prime is 3332221122119. The next prime is 3332221122149. The reversal of 3332221122132 is 2312211222333.

3332221122132 is a `hidden beast` number, since 3 + 332 + 2 + 2 + 112 + 213 + 2 = 666.

It is a super-2 number, since 2×33322211221322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 3332221122096 and 3332221122105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4259619 + ... + 4980842.

It is an arithmetic number, because the mean of its divisors is an integer number (70634091528).

Almost surely, 23332221122132 is an apocalyptic number.

It is an amenable number.

3332221122132 is an abundant number, since it is smaller than the sum of its proper divisors (6839088057900).

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

3332221122132 is a wasteful number, since it uses less digits than its factorization.

3332221122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9240540 (or 9240526 counting only the distinct ones).

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

Adding to 3332221122132 its reverse (2312211222333), we get a palindrome (5644432344465).

The spelling of 3332221122132 in words is "three trillion, three hundred thirty-two billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 81 84 106 108 126 159 162 189 212 243 252 318 324 371 378 477 486 567 636 742 756 954 972 1113 1134 1431 1484 1701 1908 2226 2268 2862 3339 3402 4293 4452 5724 6678 6804 8586 10017 12879 13356 17172 20034 25758 30051 40068 51516 60102 90153 120204 180306 360612 9240461 18480922 27721383 36961844 55442766 64683227 83164149 110885532 129366454 166328298 194049681 249492447 258732908 332656596 388099362 489744433 498984894 582149043 748477341 776198724 979488866 997969788 1164298086 1469233299 1496954682 1746447129 1958977732 2245432023 2328596172 2938466598 2993909364 3428211031 3492894258 4407699897 4490864046 5239341387 5876933196 6856422062 6985788516 8815399794 8981728092 10284633093 10478682774 13223099691 13712844124 15718024161 17630799588 20569266186 20957365548 26446199382 30853899279 31436048322 39669299073 41138532372 52892398764 61707798558 62872096644 79338598146 92561697837 119007897219 123415597116 158677196292 185123395674 238015794438 277685093511 370246791348 476031588876 555370187022 833055280533 1110740374044 1666110561066 3332221122132