Search a number
-
+
331220221331132 = 22779723720690603
BaseRepresentation
bin100101101001111100011011…
…1101000101000011010111100
31121102202100021201100111210202
41023103320313220220122330
5321403203003130044012
63132240245153223032
7126523604566305440
oct11323706750503274
91542670251314722
10331220221331132
119659a786058a81
1231194845b61a78
13112a7c1861bc53
145bb1203b68820
152845be870dcc2
hex12d3e37a286bc

331220221331132 has 48 divisors (see below), whose sum is σ = 670918491048960. Its totient is φ = 140135295523392.

The previous prime is 331220221331123. The next prime is 331220221331143. The reversal of 331220221331132 is 231133122022133.

It is a junction number, because it is equal to n+sod(n) for n = 331220221331095 and 331220221331104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5662943 + ... + 26353545.

It is an arithmetic number, because the mean of its divisors is an integer number (13977468563520).

Almost surely, 2331220221331132 is an apocalyptic number.

It is an amenable number.

331220221331132 is an abundant number, since it is smaller than the sum of its proper divisors (339698269717828).

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

331220221331132 is a wasteful number, since it uses less digits than its factorization.

331220221331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20697930 (or 20697928 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 331220221331132 its reverse (231133122022133), we get a palindrome (562353343353265).

The spelling of 331220221331132 in words is "three hundred thirty-one trillion, two hundred twenty billion, two hundred twenty-one million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 79 158 316 553 1106 2212 7237 14474 28948 50659 101318 202636 571723 1143446 2286892 4002061 8004122 16008244 20690603 41381206 82762412 144834221 289668442 579336884 1634557637 3269115274 6538230548 11441903459 22883806918 45767613836 149737893911 299475787822 598951575644 1048165257377 2096330514754 4192661029508 11829293618969 23658587237938 47317174475876 82805055332783 165610110665566 331220221331132