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3132023103220 = 2251137479980177
BaseRepresentation
bin101101100100111011000…
…111111101111011110100
3102002102022002000210221211
4231210323013331323310
5402303340403300340
610354455340451204
7442165311055414
oct55447307757364
912072262023854
103132023103220
11aa8313432240
12427010249b04
1319946b8aa81b
14ab83ad52644
155670eed05ea
hex2d93b1fdef4

3132023103220 has 96 divisors (see below), whose sum is σ = 7370731468800. Its totient is φ = 1107891210240.

The previous prime is 3132023103133. The next prime is 3132023103221. The reversal of 3132023103220 is 223013202313.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3132023103191 and 3132023103200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132023103221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39023772 + ... + 39103948.

It is an arithmetic number, because the mean of its divisors is an integer number (76778452800).

Almost surely, 23132023103220 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 3132023103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685365734400).

3132023103220 is an abundant number, since it is smaller than the sum of its proper divisors (4238708365580).

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

3132023103220 is a wasteful number, since it uses less digits than its factorization.

3132023103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85033 (or 85031 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 3132023103220 its reverse (223013202313), we get a palindrome (3355036305533).

The spelling of 3132023103220 in words is "three trillion, one hundred thirty-two billion, twenty-three million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 4799 8140 9598 19196 23995 47990 52789 80177 95980 105578 160354 177563 211156 263945 320708 355126 400885 527890 710252 801770 881947 887815 1055780 1603540 1763894 1775630 1953193 2966549 3527788 3551260 3906386 4409735 5933098 7812772 8819470 9765965 11866196 14832745 17638940 19531930 29665490 32632039 39063860 59330980 65264078 130528156 163160195 326320390 384769423 652640780 769538846 1539077692 1923847115 3847694230 4232463653 7695388460 8464927306 14236468651 16929854612 21162318265 28472937302 42324636530 56945874604 71182343255 84649273060 142364686510 156601155161 284729373020 313202310322 626404620644 783005775805 1566011551610 3132023103220