Search a number
-
+
3133410212031 = 3111925577195389
BaseRepresentation
bin101101100110001101110…
…011010111100010111111
3102002112212202010020112020
4231212031303113202333
5402314211003241111
610355245131211223
7442244553230421
oct55461563274277
912075782106466
103133410212031
11aa8965416660
124273388a6b13
13199630094778
14ab92d26a811
1556791b7a906
hex2d98dcd78bf

3133410212031 has 32 divisors (see below), whose sum is σ = 4797778003200. Its totient is φ = 1799007655680.

The previous prime is 3133410211991. The next prime is 3133410212059. The reversal of 3133410212031 is 1302120143313.

It is a de Polignac number, because none of the positive numbers 2k-3133410212031 is a prime.

It is a super-2 number, since 2×31334102120312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3133410211992 and 3133410212010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133410212081) 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, 15939085 + ... + 16134473.

It is an arithmetic number, because the mean of its divisors is an integer number (149930562600).

Almost surely, 23133410212031 is an apocalyptic number.

3133410212031 is a deficient number, since it is larger than the sum of its proper divisors (1664367791169).

3133410212031 is a wasteful number, since it uses less digits than its factorization.

3133410212031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220999.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3133410212031 its reverse (1302120143313), we get a palindrome (4435530355344).

The spelling of 3133410212031 in words is "three trillion, one hundred thirty-three billion, four hundred ten million, two hundred twelve thousand, thirty-one".

Divisors: 1 3 11 19 33 57 209 627 25577 76731 195389 281347 485963 586167 844041 1457889 2149279 3712391 5345593 6447837 11137173 16036779 40836301 122508903 4997464453 14992393359 54972108983 94951824607 164916326949 284855473821 1044470070677 3133410212031