Search a number
-
+
133131332220210 = 23351433344088631
BaseRepresentation
bin11110010001010100001101…
…110000111111010100110010
3122110101020020110000121102000
4132101110031300333110302
5114422210432022021320
61151051404550434430
740020264343340052
oct3621241560772462
9573336213017360
10133131332220210
1139468754347875
1212b218b1962a16
1359392ccc9629c
1424c383b46b562
15105d0b8aa7c90
hex79150dc3f532

133131332220210 has 64 divisors (see below), whose sum is σ = 355264630767360. Its totient is φ = 35476914107520.

The previous prime is 133131332220181. The next prime is 133131332220221. The reversal of 133131332220210 is 12022233131331.

133131332220210 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 313 + 322 + 2 + 0 + 21 + 0 = 666.

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

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, 171657406 + ... + 172431225.

It is an arithmetic number, because the mean of its divisors is an integer number (5551009855740).

Almost surely, 2133131332220210 is an apocalyptic number.

133131332220210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133131332220210 is an abundant number, since it is smaller than the sum of its proper divisors (222133298547150).

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

133131332220210 is a wasteful number, since it uses less digits than its factorization.

133131332220210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344090080 (or 344090074 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133131332220210 its reverse (12022233131331), we get a palindrome (145153565351541).

The spelling of 133131332220210 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, three hundred thirty-two million, two hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1433 2866 4299 7165 8598 12897 14330 21495 25794 38691 42990 64485 77382 128970 193455 386910 344088631 688177262 1032265893 1720443155 2064531786 3096797679 3440886310 5161329465 6193595358 9290393037 10322658930 15483988395 18580786074 30967976790 46451965185 92903930370 493079008223 986158016446 1479237024669 2465395041115 2958474049338 4437711074007 4930790082230 7396185123345 8875422148014 13313133222021 14792370246690 22188555370035 26626266444042 44377110740070 66565666110105 133131332220210