Search a number
-
+
20331000131312 = 24131447565711941
BaseRepresentation
bin1001001111101101011100…
…00010100110111011110000
32122222121212100121101000102
410213312232002212323300
510131100342013200222
6111123533231411532
74165603064511653
oct447665602467360
978877770541012
1020331000131312
116529368600872
12234434a983ba8
13b4628875c5c0
1450405058b89a
15253cc8d78d92
hex127dae0a6ef0

20331000131312 has 80 divisors (see below), whose sum is σ = 42461790313152. Its totient is φ = 9374610954240.

The previous prime is 20331000131297. The next prime is 20331000131341. The reversal of 20331000131312 is 21313100013302.

It is a super-2 number, since 2×203310001313122 (a number of 27 digits) contains 22 as substring.

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, 1702615262 + ... + 1702627202.

Almost surely, 220331000131312 is an apocalyptic number.

It is an amenable number.

20331000131312 is an abundant number, since it is smaller than the sum of its proper divisors (22130790181840).

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

20331000131312 is a wasteful number, since it uses less digits than its factorization.

20331000131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19066 (or 19060 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 20331000131312 its reverse (21313100013302), we get a palindrome (41644100144614).

The spelling of 20331000131312 in words is "twenty trillion, three hundred thirty-one billion, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 1447 2894 5657 5788 11314 11576 11941 18811 22628 23152 23882 37622 45256 47764 73541 75244 90512 95528 147082 150488 155233 191056 294164 300976 310466 588328 620932 1176656 1241864 2483728 8185679 16371358 17278627 32742716 34557254 65485432 67550237 69114508 106413827 130970864 135100474 138229016 212827654 224622151 270200948 276458032 425655308 449244302 540401896 851310616 878153081 898488604 1080803792 1702621232 1756306162 1796977208 3512612324 3593954416 7025224648 14050449296 97745192939 195490385878 390980771756 781961543512 1270687508207 1563923087024 2541375016414 5082750032828 10165500065656 20331000131312