Search a number
-
+
1313121212120 = 235101659493217
BaseRepresentation
bin10011000110111100000…
…111111001011011011000
311122112101200020002110102
4103012330013321123120
5133003233012241440
62443123424434532
7163604240066204
oct23067407713330
94575350202412
101313121212120
11466989767053
121925a9778a48
1396a99628993
14477ac067b04
1524255d1bb15
hex131bc1f96d8

1313121212120 has 64 divisors (see below), whose sum is σ = 2988309218400. Its totient is φ = 519257804800.

The previous prime is 1313121212119. The next prime is 1313121212173. The reversal of 1313121212120 is 212121213131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1313121212092 and 1313121212101.

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, 2415752 + ... + 2908968.

Almost surely, 21313121212120 is an apocalyptic number.

1313121212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313121212120 is an abundant number, since it is smaller than the sum of its proper divisors (1675188006280).

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

1313121212120 is a wasteful number, since it uses less digits than its factorization.

1313121212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493988 (or 493984 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1313121212120 its reverse (212121213131), we get a palindrome (1525242425251).

The spelling of 1313121212120 in words is "one trillion, three hundred thirteen billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 659 808 1010 1318 2020 2636 3295 4040 5272 6590 13180 26360 66559 133118 266236 332795 493217 532472 665590 986434 1331180 1972868 2466085 2662360 3945736 4932170 9864340 19728680 49814917 99629834 199259668 249074585 325030003 398519336 498149170 650060006 996298340 1300120012 1625150015 1992596680 2600240024 3250300030 6500600060 13001200120 32828030303 65656060606 131312121212 164140151515 262624242424 328280303030 656560606060 1313121212120